ILIAS  release_5-3 Revision v5.3.23-19-g915713cf615
Static Public Member Functions | Static Private Member Functions | Static Private Attributes
PHPExcel_Calculation_Statistical Class Reference
+ Collaboration diagram for PHPExcel_Calculation_Statistical:

Static Public Member Functions

static AVEDEV ()
 
static AVERAGE ()
 
static AVERAGEA ()
 
static AVERAGEIF ($aArgs, $condition, $averageArgs=array())
 
static BETADIST ($value, $alpha, $beta, $rMin=0, $rMax=1)
 BETADIST. More...
 
static BETAINV ($probability, $alpha, $beta, $rMin=0, $rMax=1)
 BETAINV. More...
 
static BINOMDIST ($value, $trials, $probability, $cumulative)
 BINOMDIST. More...
 
static CHIDIST ($value, $degrees)
 CHIDIST. More...
 
static CHIINV ($probability, $degrees)
 CHIINV. More...
 
static CONFIDENCE ($alpha, $stdDev, $size)
 CONFIDENCE. More...
 
static CORREL ($yValues, $xValues=null)
 CORREL. More...
 
static COUNT ()
 
static COUNTA ()
 
static COUNTBLANK ()
 
static COUNTIF ($aArgs, $condition)
 
static COVAR ($yValues, $xValues)
 COVAR. More...
 
static CRITBINOM ($trials, $probability, $alpha)
 CRITBINOM. More...
 
static DEVSQ ()
 
static EXPONDIST ($value, $lambda, $cumulative)
 EXPONDIST. More...
 
static FISHER ($value)
 FISHER. More...
 
static FISHERINV ($value)
 FISHERINV. More...
 
static FORECAST ($xValue, $yValues, $xValues)
 FORECAST. More...
 
static GAMMADIST ($value, $a, $b, $cumulative)
 GAMMADIST. More...
 
static GAMMAINV ($probability, $alpha, $beta)
 GAMMAINV. More...
 
static GAMMALN ($value)
 GAMMALN. More...
 
static GEOMEAN ()
 
static GROWTH ($yValues, $xValues=array(), $newValues=array(), $const=True)
 GROWTH. More...
 
static HARMEAN ()
 
static HYPGEOMDIST ($sampleSuccesses, $sampleNumber, $populationSuccesses, $populationNumber)
 HYPGEOMDIST. More...
 
static INTERCEPT ($yValues, $xValues)
 INTERCEPT. More...
 
static KURT ()
 KURT. More...
 
static LARGE ()
 
static LINEST ($yValues, $xValues=NULL, $const=TRUE, $stats=FALSE)
 LINEST. More...
 
static LOGEST ($yValues, $xValues=null, $const=True, $stats=False)
 LOGEST. More...
 
static LOGINV ($probability, $mean, $stdDev)
 LOGINV. More...
 
static LOGNORMDIST ($value, $mean, $stdDev)
 LOGNORMDIST. More...
 
static MAX ()
 
static MAXA ()
 
static MAXIF ($aArgs, $condition, $sumArgs=array())
 
static MEDIAN ()
 
static MIN ()
 
static MINA ()
 
static MINIF ($aArgs, $condition, $sumArgs=array())
 
static MODE ()
 
static NEGBINOMDIST ($failures, $successes, $probability)
 NEGBINOMDIST. More...
 
static NORMDIST ($value, $mean, $stdDev, $cumulative)
 NORMDIST. More...
 
static NORMINV ($probability, $mean, $stdDev)
 NORMINV. More...
 
static NORMSDIST ($value)
 NORMSDIST. More...
 
static NORMSINV ($value)
 NORMSINV. More...
 
static PERCENTILE ()
 
static PERCENTRANK ($valueSet, $value, $significance=3)
 PERCENTRANK. More...
 
static PERMUT ($numObjs, $numInSet)
 PERMUT. More...
 
static POISSON ($value, $mean, $cumulative)
 POISSON. More...
 
static QUARTILE ()
 
static RANK ($value, $valueSet, $order=0)
 RANK. More...
 
static RSQ ($yValues, $xValues)
 RSQ. More...
 
static SKEW ()
 SKEW. More...
 
static SLOPE ($yValues, $xValues)
 SLOPE. More...
 
static SMALL ()
 
static STANDARDIZE ($value, $mean, $stdDev)
 STANDARDIZE. More...
 
static STDEV ()
 
static STDEVA ()
 
static STDEVP ()
 
static STDEVPA ()
 
static STEYX ($yValues, $xValues)
 STEYX. More...
 
static TDIST ($value, $degrees, $tails)
 TDIST. More...
 
static TINV ($probability, $degrees)
 TINV. More...
 
static TREND ($yValues, $xValues=array(), $newValues=array(), $const=True)
 TREND. More...
 
static TRIMMEAN ()
 
static VARFunc ()
 
static VARA ()
 
static VARP ()
 
static VARPA ()
 
static WEIBULL ($value, $alpha, $beta, $cumulative)
 WEIBULL. More...
 
static ZTEST ($dataSet, $m0, $sigma=NULL)
 ZTEST. More...
 

Static Private Member Functions

static _checkTrendArrays (&$array1, &$array2)
 
static _beta ($p, $q)
 Beta function. More...
 
static _incompleteBeta ($x, $p, $q)
 Incomplete beta function. More...
 
static _logBeta ($p, $q)
 The natural logarithm of the beta function. More...
 
static _betaFraction ($x, $p, $q)
 Evaluates of continued fraction part of incomplete beta function. More...
 
static _logGamma ($x)
 
static _incompleteGamma ($a, $x)
 
static _gamma ($data)
 
static _inverse_ncdf ($p)
 
static _inverse_ncdf2 ($prob)
 
static _inverse_ncdf3 ($p)
 
static _modeCalc ($data)
 

Static Private Attributes

static $_logBetaCache_p = 0.0
 
static $_logBetaCache_q = 0.0
 
static $_logBetaCache_result = 0.0
 
static $_logGammaCache_result = 0.0
 logGamma function More...
 
static $_logGammaCache_x = 0.0
 

Detailed Description

Definition at line 62 of file Statistical.php.

Member Function Documentation

◆ _beta()

static PHPExcel_Calculation_Statistical::_beta (   $p,
  $q 
)
staticprivate

Beta function.

Author
Jaco van Kooten
Parameters
prequire p>0
qrequire q>0
Returns
0 if p<=0, q<=0 or p+q>2.55E305 to avoid errors and over/underflow

Definition at line 99 of file Statistical.php.

99 {
100 if ($p <= 0.0 || $q <= 0.0 || ($p + $q) > LOG_GAMMA_X_MAX_VALUE) {
101 return 0.0;
102 } else {
103 return exp(self::_logBeta($p, $q));
104 }
105 } // function _beta()
LOG_GAMMA_X_MAX_VALUE
const LOG_GAMMA_X_MAX_VALUE
LOG_GAMMA_X_MAX_VALUE.
Definition: Statistical.php:43

References LOG_GAMMA_X_MAX_VALUE.

◆ _betaFraction()

static PHPExcel_Calculation_Statistical::_betaFraction (   $x,
  $p,
  $q 
)
staticprivate

Evaluates of continued fraction part of incomplete beta function.

Based on an idea from Numerical Recipes (W.H. Press et al, 1992).

Author
Jaco van Kooten

Definition at line 169 of file Statistical.php.

169 {
170 $c = 1.0;
171 $sum_pq = $p + $q;
172 $p_plus = $p + 1.0;
173 $p_minus = $p - 1.0;
174 $h = 1.0 - $sum_pq * $x / $p_plus;
175 if (abs($h) < XMININ) {
176 $h = XMININ;
177 }
178 $h = 1.0 / $h;
179 $frac = $h;
180 $m = 1;
181 $delta = 0.0;
182 while ($m <= MAX_ITERATIONS && abs($delta-1.0) > PRECISION ) {
183 $m2 = 2 * $m;
184 // even index for d
185 $d = $m * ($q - $m) * $x / ( ($p_minus + $m2) * ($p + $m2));
186 $h = 1.0 + $d * $h;
187 if (abs($h) < XMININ) {
188 $h = XMININ;
189 }
190 $h = 1.0 / $h;
191 $c = 1.0 + $d / $c;
192 if (abs($c) < XMININ) {
193 $c = XMININ;
194 }
195 $frac *= $h * $c;
196 // odd index for d
197 $d = -($p + $m) * ($sum_pq + $m) * $x / (($p + $m2) * ($p_plus + $m2));
198 $h = 1.0 + $d * $h;
199 if (abs($h) < XMININ) {
200 $h = XMININ;
201 }
202 $h = 1.0 / $h;
203 $c = 1.0 + $d / $c;
204 if (abs($c) < XMININ) {
205 $c = XMININ;
206 }
207 $delta = $h * $c;
208 $frac *= $delta;
209 ++$m;
210 }
211 return $frac;
212 } // function _betaFraction()
MAX_ITERATIONS
const MAX_ITERATIONS
MAX_ITERATIONS.
Definition: Functions.php:46
PRECISION
const PRECISION
PRECISION.
Definition: Functions.php:49
XMININ
const XMININ
XMININ.
Definition: Statistical.php:46
$d
for( $i=6;$i< 13;$i++) for($i=1; $i< 13; $i++) $d
Definition: date.php:296
$x
$x
Definition: example_009.php:98
$h
$h
Definition: example_009.php:101
$m
$m
Definition: show_metadata.php:25

References $d, $h, $m, $x, MAX_ITERATIONS, PRECISION, and XMININ.

Referenced by _incompleteBeta().

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◆ _checkTrendArrays()

static PHPExcel_Calculation_Statistical::_checkTrendArrays ( &  $array1,
&  $array2 
)
staticprivate

Definition at line 65 of file Statistical.php.

65 {
66 if (!is_array($array1)) { $array1 = array($array1); }
67 if (!is_array($array2)) { $array2 = array($array2); }
68
69 $array1 = PHPExcel_Calculation_Functions::flattenArray($array1);
70 $array2 = PHPExcel_Calculation_Functions::flattenArray($array2);
71 foreach($array1 as $key => $value) {
72 if ((is_bool($value)) || (is_string($value)) || (is_null($value))) {
73 unset($array1[$key]);
74 unset($array2[$key]);
75 }
76 }
77 foreach($array2 as $key => $value) {
78 if ((is_bool($value)) || (is_string($value)) || (is_null($value))) {
79 unset($array1[$key]);
80 unset($array2[$key]);
81 }
82 }
83 $array1 = array_merge($array1);
84 $array2 = array_merge($array2);
85
86 return True;
87 } // function _checkTrendArrays()
PHPExcel_Calculation_Functions\flattenArray
static flattenArray($array)
Convert a multi-dimensional array to a simple 1-dimensional array.
Definition: Functions.php:598
$key
$key
Definition: croninfo.php:18

References $key, and PHPExcel_Calculation_Functions\flattenArray().

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◆ _gamma()

static PHPExcel_Calculation_Statistical::_gamma (   $data)
staticprivate

Definition at line 442 of file Statistical.php.

442 {
443 if ($data == 0.0) return 0;
444
445 static $p0 = 1.000000000190015;
446 static $p = array ( 1 => 76.18009172947146,
447 2 => -86.50532032941677,
448 3 => 24.01409824083091,
449 4 => -1.231739572450155,
450 5 => 1.208650973866179e-3,
451 6 => -5.395239384953e-6
452 );
453
454 $y = $x = $data;
455 $tmp = $x + 5.5;
456 $tmp -= ($x + 0.5) * log($tmp);
457
458 $summer = $p0;
459 for ($j=1;$j<=6;++$j) {
460 $summer += ($p[$j] / ++$y);
461 }
462 return exp(0 - $tmp + log(SQRT2PI * $summer / $x));
463 } // function _gamma()
SQRT2PI
const SQRT2PI
SQRT2PI.
Definition: Statistical.php:52
$y
$y
Definition: example_007.php:83
e
e($cmd)
Definition: flush.php:14

References $data, $x, $y, e(), and SQRT2PI.

Referenced by CHIDIST(), and GAMMADIST().

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◆ _incompleteBeta()

static PHPExcel_Calculation_Statistical::_incompleteBeta (   $x,
  $p,
  $q 
)
staticprivate

Incomplete beta function.

Author
Jaco van Kooten
Paul Meagher

The computation is based on formulas from Numerical Recipes, Chapter 6.4 (W.H. Press et al, 1992).

Parameters
xrequire 0<=x<=1
prequire p>0
qrequire q>0
Returns
0 if x<0, p<=0, q<=0 or p+q>2.55E305 and 1 if x>1 to avoid errors and over/underflow

Definition at line 120 of file Statistical.php.

120 {
121 if ($x <= 0.0) {
122 return 0.0;
123 } elseif ($x >= 1.0) {
124 return 1.0;
125 } elseif (($p <= 0.0) || ($q <= 0.0) || (($p + $q) > LOG_GAMMA_X_MAX_VALUE)) {
126 return 0.0;
127 }
128 $beta_gam = exp((0 - self::_logBeta($p, $q)) + $p * log($x) + $q * log(1.0 - $x));
129 if ($x < ($p + 1.0) / ($p + $q + 2.0)) {
130 return $beta_gam * self::_betaFraction($x, $p, $q) / $p;
131 } else {
132 return 1.0 - ($beta_gam * self::_betaFraction(1 - $x, $q, $p) / $q);
133 }
134 } // function _incompleteBeta()
PHPExcel_Calculation_Statistical\_betaFraction
static _betaFraction($x, $p, $q)
Evaluates of continued fraction part of incomplete beta function.
Definition: Statistical.php:169

References $x, _betaFraction(), and LOG_GAMMA_X_MAX_VALUE.

Referenced by BETADIST().

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◆ _incompleteGamma()

static PHPExcel_Calculation_Statistical::_incompleteGamma (   $a,
  $x 
)
staticprivate

Definition at line 425 of file Statistical.php.

425 {
426 static $max = 32;
427 $summer = 0;
428 for ($n=0; $n<=$max; ++$n) {
429 $divisor = $a;
430 for ($i=1; $i<=$n; ++$i) {
431 $divisor *= ($a + $i);
432 }
433 $summer += (pow($x,$n) / $divisor);
434 }
435 return pow($x,$a) * exp(0-$x) * $summer;
436 } // function _incompleteGamma()
$n
$n
Definition: RandomTest.php:85
$i
$i
Definition: disco.tpl.php:19

References $i, $n, and $x.

Referenced by CHIDIST(), and GAMMADIST().

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◆ _inverse_ncdf()

static PHPExcel_Calculation_Statistical::_inverse_ncdf (   $p)
staticprivate

Definition at line 474 of file Statistical.php.

474 {
475 // Inverse ncdf approximation by Peter J. Acklam, implementation adapted to
476 // PHP by Michael Nickerson, using Dr. Thomas Ziegler's C implementation as
477 // a guide. http://home.online.no/~pjacklam/notes/invnorm/index.html
478 // I have not checked the accuracy of this implementation. Be aware that PHP
479 // will truncate the coeficcients to 14 digits.
480
481 // You have permission to use and distribute this function freely for
482 // whatever purpose you want, but please show common courtesy and give credit
483 // where credit is due.
484
485 // Input paramater is $p - probability - where 0 < p < 1.
486
487 // Coefficients in rational approximations
488 static $a = array( 1 => -3.969683028665376e+01,
489 2 => 2.209460984245205e+02,
490 3 => -2.759285104469687e+02,
491 4 => 1.383577518672690e+02,
492 5 => -3.066479806614716e+01,
493 6 => 2.506628277459239e+00
494 );
495
496 static $b = array( 1 => -5.447609879822406e+01,
497 2 => 1.615858368580409e+02,
498 3 => -1.556989798598866e+02,
499 4 => 6.680131188771972e+01,
500 5 => -1.328068155288572e+01
501 );
502
503 static $c = array( 1 => -7.784894002430293e-03,
504 2 => -3.223964580411365e-01,
505 3 => -2.400758277161838e+00,
506 4 => -2.549732539343734e+00,
507 5 => 4.374664141464968e+00,
508 6 => 2.938163982698783e+00
509 );
510
511 static $d = array( 1 => 7.784695709041462e-03,
512 2 => 3.224671290700398e-01,
513 3 => 2.445134137142996e+00,
514 4 => 3.754408661907416e+00
515 );
516
517 // Define lower and upper region break-points.
518 $p_low = 0.02425; //Use lower region approx. below this
519 $p_high = 1 - $p_low; //Use upper region approx. above this
520
521 if (0 < $p && $p < $p_low) {
522 // Rational approximation for lower region.
523 $q = sqrt(-2 * log($p));
524 return ((((($c[1] * $q + $c[2]) * $q + $c[3]) * $q + $c[4]) * $q + $c[5]) * $q + $c[6]) /
525 (((($d[1] * $q + $d[2]) * $q + $d[3]) * $q + $d[4]) * $q + 1);
526 } elseif ($p_low <= $p && $p <= $p_high) {
527 // Rational approximation for central region.
528 $q = $p - 0.5;
529 $r = $q * $q;
530 return ((((($a[1] * $r + $a[2]) * $r + $a[3]) * $r + $a[4]) * $r + $a[5]) * $r + $a[6]) * $q /
531 ((((($b[1] * $r + $b[2]) * $r + $b[3]) * $r + $b[4]) * $r + $b[5]) * $r + 1);
532 } elseif ($p_high < $p && $p < 1) {
533 // Rational approximation for upper region.
534 $q = sqrt(-2 * log(1 - $p));
535 return -((((($c[1] * $q + $c[2]) * $q + $c[3]) * $q + $c[4]) * $q + $c[5]) * $q + $c[6]) /
536 (((($d[1] * $q + $d[2]) * $q + $d[3]) * $q + $d[4]) * $q + 1);
537 }
538 // If 0 < p < 1, return a null value
539 return PHPExcel_Calculation_Functions::NULL();
540 } // function _inverse_ncdf()
PHPExcel_Calculation_Functions\NULL
static NULL()
Definition: Functions.php:275
$r
$r
Definition: example_031.php:79

References $d, $r, e(), and PHPExcel_Calculation_Functions\NULL().

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◆ _inverse_ncdf2()

static PHPExcel_Calculation_Statistical::_inverse_ncdf2 (   $prob)
staticprivate

Definition at line 543 of file Statistical.php.

543 {
544 // Approximation of inverse standard normal CDF developed by
545 // B. Moro, "The Full Monte," Risk 8(2), Feb 1995, 57-58.
546
547 $a1 = 2.50662823884;
548 $a2 = -18.61500062529;
549 $a3 = 41.39119773534;
550 $a4 = -25.44106049637;
551
552 $b1 = -8.4735109309;
553 $b2 = 23.08336743743;
554 $b3 = -21.06224101826;
555 $b4 = 3.13082909833;
556
557 $c1 = 0.337475482272615;
558 $c2 = 0.976169019091719;
559 $c3 = 0.160797971491821;
560 $c4 = 2.76438810333863E-02;
561 $c5 = 3.8405729373609E-03;
562 $c6 = 3.951896511919E-04;
563 $c7 = 3.21767881768E-05;
564 $c8 = 2.888167364E-07;
565 $c9 = 3.960315187E-07;
566
567 $y = $prob - 0.5;
568 if (abs($y) < 0.42) {
569 $z = ($y * $y);
570 $z = $y * ((($a4 * $z + $a3) * $z + $a2) * $z + $a1) / (((($b4 * $z + $b3) * $z + $b2) * $z + $b1) * $z + 1);
571 } else {
572 if ($y > 0) {
573 $z = log(-log(1 - $prob));
574 } else {
575 $z = log(-log($prob));
576 }
577 $z = $c1 + $z * ($c2 + $z * ($c3 + $z * ($c4 + $z * ($c5 + $z * ($c6 + $z * ($c7 + $z * ($c8 + $z * $c9)))))));
578 if ($y < 0) {
579 $z = -$z;
580 }
581 }
582 return $z;
583 } // function _inverse_ncdf2()

References $y.

◆ _inverse_ncdf3()

static PHPExcel_Calculation_Statistical::_inverse_ncdf3 (   $p)
staticprivate

Definition at line 586 of file Statistical.php.

586 {
587 // ALGORITHM AS241 APPL. STATIST. (1988) VOL. 37, NO. 3.
588 // Produces the normal deviate Z corresponding to a given lower
589 // tail area of P; Z is accurate to about 1 part in 10**16.
590 //
591 // This is a PHP version of the original FORTRAN code that can
592 // be found at http://lib.stat.cmu.edu/apstat/
593 $split1 = 0.425;
594 $split2 = 5;
595 $const1 = 0.180625;
596 $const2 = 1.6;
597
598 // coefficients for p close to 0.5
599 $a0 = 3.3871328727963666080;
600 $a1 = 1.3314166789178437745E+2;
601 $a2 = 1.9715909503065514427E+3;
602 $a3 = 1.3731693765509461125E+4;
603 $a4 = 4.5921953931549871457E+4;
604 $a5 = 6.7265770927008700853E+4;
605 $a6 = 3.3430575583588128105E+4;
606 $a7 = 2.5090809287301226727E+3;
607
608 $b1 = 4.2313330701600911252E+1;
609 $b2 = 6.8718700749205790830E+2;
610 $b3 = 5.3941960214247511077E+3;
611 $b4 = 2.1213794301586595867E+4;
612 $b5 = 3.9307895800092710610E+4;
613 $b6 = 2.8729085735721942674E+4;
614 $b7 = 5.2264952788528545610E+3;
615
616 // coefficients for p not close to 0, 0.5 or 1.
617 $c0 = 1.42343711074968357734;
618 $c1 = 4.63033784615654529590;
619 $c2 = 5.76949722146069140550;
620 $c3 = 3.64784832476320460504;
621 $c4 = 1.27045825245236838258;
622 $c5 = 2.41780725177450611770E-1;
623 $c6 = 2.27238449892691845833E-2;
624 $c7 = 7.74545014278341407640E-4;
625
626 $d1 = 2.05319162663775882187;
627 $d2 = 1.67638483018380384940;
628 $d3 = 6.89767334985100004550E-1;
629 $d4 = 1.48103976427480074590E-1;
630 $d5 = 1.51986665636164571966E-2;
631 $d6 = 5.47593808499534494600E-4;
632 $d7 = 1.05075007164441684324E-9;
633
634 // coefficients for p near 0 or 1.
635 $e0 = 6.65790464350110377720;
636 $e1 = 5.46378491116411436990;
637 $e2 = 1.78482653991729133580;
638 $e3 = 2.96560571828504891230E-1;
639 $e4 = 2.65321895265761230930E-2;
640 $e5 = 1.24266094738807843860E-3;
641 $e6 = 2.71155556874348757815E-5;
642 $e7 = 2.01033439929228813265E-7;
643
644 $f1 = 5.99832206555887937690E-1;
645 $f2 = 1.36929880922735805310E-1;
646 $f3 = 1.48753612908506148525E-2;
647 $f4 = 7.86869131145613259100E-4;
648 $f5 = 1.84631831751005468180E-5;
649 $f6 = 1.42151175831644588870E-7;
650 $f7 = 2.04426310338993978564E-15;
651
652 $q = $p - 0.5;
653
654 // computation for p close to 0.5
655 if (abs($q) <= split1) {
656 $R = $const1 - $q * $q;
657 $z = $q * ((((((($a7 * $R + $a6) * $R + $a5) * $R + $a4) * $R + $a3) * $R + $a2) * $R + $a1) * $R + $a0) /
658 ((((((($b7 * $R + $b6) * $R + $b5) * $R + $b4) * $R + $b3) * $R + $b2) * $R + $b1) * $R + 1);
659 } else {
660 if ($q < 0) {
661 $R = $p;
662 } else {
663 $R = 1 - $p;
664 }
665 $R = pow(-log($R),2);
666
667 // computation for p not close to 0, 0.5 or 1.
668 If ($R <= $split2) {
669 $R = $R - $const2;
670 $z = ((((((($c7 * $R + $c6) * $R + $c5) * $R + $c4) * $R + $c3) * $R + $c2) * $R + $c1) * $R + $c0) /
671 ((((((($d7 * $R + $d6) * $R + $d5) * $R + $d4) * $R + $d3) * $R + $d2) * $R + $d1) * $R + 1);
672 } else {
673 // computation for p near 0 or 1.
674 $R = $R - $split2;
675 $z = ((((((($e7 * $R + $e6) * $R + $e5) * $R + $e4) * $R + $e3) * $R + $e2) * $R + $e1) * $R + $e0) /
676 ((((((($f7 * $R + $f6) * $R + $f5) * $R + $f4) * $R + $f3) * $R + $f2) * $R + $f1) * $R + 1);
677 }
678 if ($q < 0) {
679 $z = -$z;
680 }
681 }
682 return $z;
683 } // function _inverse_ncdf3()

◆ _logBeta()

static PHPExcel_Calculation_Statistical::_logBeta (   $p,
  $q 
)
staticprivate

The natural logarithm of the beta function.

Parameters
prequire p>0
qrequire q>0
Returns
0 if p<=0, q<=0 or p+q>2.55E305 to avoid errors and over/underflow
Author
Jaco van Kooten

Definition at line 150 of file Statistical.php.

150 {
151 if ($p != self::$_logBetaCache_p || $q != self::$_logBetaCache_q) {
152 self::$_logBetaCache_p = $p;
153 self::$_logBetaCache_q = $q;
154 if (($p <= 0.0) || ($q <= 0.0) || (($p + $q) > LOG_GAMMA_X_MAX_VALUE)) {
155 self::$_logBetaCache_result = 0.0;
156 } else {
157 self::$_logBetaCache_result = self::_logGamma($p) + self::_logGamma($q) - self::_logGamma($p + $q);
158 }
159 }
160 return self::$_logBetaCache_result;
161 } // function _logBeta()
PHPExcel_Calculation_Statistical\$_logBetaCache_result
static $_logBetaCache_result
Definition: Statistical.php:140
PHPExcel_Calculation_Statistical\_logGamma
static _logGamma($x)
Definition: Statistical.php:262

References $_logBetaCache_result, _logGamma(), and LOG_GAMMA_X_MAX_VALUE.

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◆ _logGamma()

static PHPExcel_Calculation_Statistical::_logGamma (   $x)
staticprivate

Definition at line 262 of file Statistical.php.

262 {
263 // Log Gamma related constants
264 static $lg_d1 = -0.5772156649015328605195174;
265 static $lg_d2 = 0.4227843350984671393993777;
266 static $lg_d4 = 1.791759469228055000094023;
267
268 static $lg_p1 = array( 4.945235359296727046734888,
269 201.8112620856775083915565,
270 2290.838373831346393026739,
271 11319.67205903380828685045,
272 28557.24635671635335736389,
273 38484.96228443793359990269,
274 26377.48787624195437963534,
275 7225.813979700288197698961 );
276 static $lg_p2 = array( 4.974607845568932035012064,
277 542.4138599891070494101986,
278 15506.93864978364947665077,
279 184793.2904445632425417223,
280 1088204.76946882876749847,
281 3338152.967987029735917223,
282 5106661.678927352456275255,
283 3074109.054850539556250927 );
284 static $lg_p4 = array( 14745.02166059939948905062,
285 2426813.369486704502836312,
286 121475557.4045093227939592,
287 2663432449.630976949898078,
288 29403789566.34553899906876,
289 170266573776.5398868392998,
290 492612579337.743088758812,
291 560625185622.3951465078242 );
292
293 static $lg_q1 = array( 67.48212550303777196073036,
294 1113.332393857199323513008,
295 7738.757056935398733233834,
296 27639.87074403340708898585,
297 54993.10206226157329794414,
298 61611.22180066002127833352,
299 36351.27591501940507276287,
300 8785.536302431013170870835 );
301 static $lg_q2 = array( 183.0328399370592604055942,
302 7765.049321445005871323047,
303 133190.3827966074194402448,
304 1136705.821321969608938755,
305 5267964.117437946917577538,
306 13467014.54311101692290052,
307 17827365.30353274213975932,
308 9533095.591844353613395747 );
309 static $lg_q4 = array( 2690.530175870899333379843,
310 639388.5654300092398984238,
311 41355999.30241388052042842,
312 1120872109.61614794137657,
313 14886137286.78813811542398,
314 101680358627.2438228077304,
315 341747634550.7377132798597,
316 446315818741.9713286462081 );
317
318 static $lg_c = array( -0.001910444077728,
319 8.4171387781295e-4,
320 -5.952379913043012e-4,
321 7.93650793500350248e-4,
322 -0.002777777777777681622553,
323 0.08333333333333333331554247,
324 0.0057083835261 );
325
326 // Rough estimate of the fourth root of logGamma_xBig
327 static $lg_frtbig = 2.25e76;
328 static $pnt68 = 0.6796875;
329
330
331 if ($x == self::$_logGammaCache_x) {
332 return self::$_logGammaCache_result;
333 }
334 $y = $x;
335 if ($y > 0.0 && $y <= LOG_GAMMA_X_MAX_VALUE) {
336 if ($y <= EPS) {
337 $res = -log(y);
338 } elseif ($y <= 1.5) {
339 // ---------------------
340 // EPS .LT. X .LE. 1.5
341 // ---------------------
342 if ($y < $pnt68) {
343 $corr = -log($y);
344 $xm1 = $y;
345 } else {
346 $corr = 0.0;
347 $xm1 = $y - 1.0;
348 }
349 if ($y <= 0.5 || $y >= $pnt68) {
350 $xden = 1.0;
351 $xnum = 0.0;
352 for ($i = 0; $i < 8; ++$i) {
353 $xnum = $xnum * $xm1 + $lg_p1[$i];
354 $xden = $xden * $xm1 + $lg_q1[$i];
355 }
356 $res = $corr + $xm1 * ($lg_d1 + $xm1 * ($xnum / $xden));
357 } else {
358 $xm2 = $y - 1.0;
359 $xden = 1.0;
360 $xnum = 0.0;
361 for ($i = 0; $i < 8; ++$i) {
362 $xnum = $xnum * $xm2 + $lg_p2[$i];
363 $xden = $xden * $xm2 + $lg_q2[$i];
364 }
365 $res = $corr + $xm2 * ($lg_d2 + $xm2 * ($xnum / $xden));
366 }
367 } elseif ($y <= 4.0) {
368 // ---------------------
369 // 1.5 .LT. X .LE. 4.0
370 // ---------------------
371 $xm2 = $y - 2.0;
372 $xden = 1.0;
373 $xnum = 0.0;
374 for ($i = 0; $i < 8; ++$i) {
375 $xnum = $xnum * $xm2 + $lg_p2[$i];
376 $xden = $xden * $xm2 + $lg_q2[$i];
377 }
378 $res = $xm2 * ($lg_d2 + $xm2 * ($xnum / $xden));
379 } elseif ($y <= 12.0) {
380 // ----------------------
381 // 4.0 .LT. X .LE. 12.0
382 // ----------------------
383 $xm4 = $y - 4.0;
384 $xden = -1.0;
385 $xnum = 0.0;
386 for ($i = 0; $i < 8; ++$i) {
387 $xnum = $xnum * $xm4 + $lg_p4[$i];
388 $xden = $xden * $xm4 + $lg_q4[$i];
389 }
390 $res = $lg_d4 + $xm4 * ($xnum / $xden);
391 } else {
392 // ---------------------------------
393 // Evaluate for argument .GE. 12.0
394 // ---------------------------------
395 $res = 0.0;
396 if ($y <= $lg_frtbig) {
397 $res = $lg_c[6];
398 $ysq = $y * $y;
399 for ($i = 0; $i < 6; ++$i)
400 $res = $res / $ysq + $lg_c[$i];
401 }
402 $res /= $y;
403 $corr = log($y);
404 $res = $res + log(SQRT2PI) - 0.5 * $corr;
405 $res += $y * ($corr - 1.0);
406 }
407 } else {
408 // --------------------------
409 // Return for bad arguments
410 // --------------------------
411 $res = MAX_VALUE;
412 }
413 // ------------------------------
414 // Final adjustments and return
415 // ------------------------------
416 self::$_logGammaCache_x = $x;
417 self::$_logGammaCache_result = $res;
418 return $res;
419 } // function _logGamma()
MAX_VALUE
const MAX_VALUE(!defined('PHPEXCEL_ROOT'))
PHPExcel root directory.
Definition: Functions.php:40
EPS
const EPS
EPS.
Definition: Statistical.php:49
PHPExcel_Calculation_Statistical\$_logGammaCache_result
static $_logGammaCache_result
logGamma function
Definition: Statistical.php:259
$res
foreach($_POST as $key=> $value) $res
Definition: save_question_post_data.php:15

References $_logGammaCache_result, $i, $res, $x, $y, e(), EPS, LOG_GAMMA_X_MAX_VALUE, MAX_VALUE, and SQRT2PI.

Referenced by _logBeta().

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◆ _modeCalc()

static PHPExcel_Calculation_Statistical::_modeCalc (   $data)
staticprivate

Definition at line 2399 of file Statistical.php.

2399 {
2400 $frequencyArray = array();
2401 foreach($data as $datum) {
2402 $found = False;
2403 foreach($frequencyArray as $key => $value) {
2404 if ((string) $value['value'] == (string) $datum) {
2405 ++$frequencyArray[$key]['frequency'];
2406 $found = True;
2407 break;
2408 }
2409 }
2410 if (!$found) {
2411 $frequencyArray[] = array('value' => $datum,
2412 'frequency' => 1 );
2413 }
2414 }
2415
2416 foreach($frequencyArray as $key => $value) {
2417 $frequencyList[$key] = $value['frequency'];
2418 $valueList[$key] = $value['value'];
2419 }
2420 array_multisort($frequencyList, SORT_DESC, $valueList, SORT_ASC, SORT_NUMERIC, $frequencyArray);
2421
2422 if ($frequencyArray[0]['frequency'] == 1) {
2423 return PHPExcel_Calculation_Functions::NA();
2424 }
2425 return $frequencyArray[0]['value'];
2426 } // function _modeCalc()
PHPExcel_Calculation_Functions\NA
static NA()
Definition: Functions.php:219

References $data, $key, and PHPExcel_Calculation_Functions\NA().

Referenced by MODE().

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◆ AVEDEV()

static PHPExcel_Calculation_Statistical::AVEDEV ( )
static

Definition at line 700 of file Statistical.php.

700 {
701 $aArgs = PHPExcel_Calculation_Functions::flattenArrayIndexed(func_get_args());
702
703 // Return value
704 $returnValue = null;
705
706 $aMean = self::AVERAGE($aArgs);
707 if ($aMean != PHPExcel_Calculation_Functions::DIV0()) {
708 $aCount = 0;
709 foreach ($aArgs as $k => $arg) {
710 if ((is_bool($arg)) &&
711 ((!PHPExcel_Calculation_Functions::isCellValue($k)) || (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE))) {
712 $arg = (integer) $arg;
713 }
714 // Is it a numeric value?
715 if ((is_numeric($arg)) && (!is_string($arg))) {
716 if (is_null($returnValue)) {
717 $returnValue = abs($arg - $aMean);
718 } else {
719 $returnValue += abs($arg - $aMean);
720 }
721 ++$aCount;
722 }
723 }
724
725 // Return
726 if ($aCount == 0) {
727 return PHPExcel_Calculation_Functions::DIV0();
728 }
729 return $returnValue / $aCount;
730 }
731 return PHPExcel_Calculation_Functions::NaN();
732 } // function AVEDEV()
PHPExcel_Calculation_Functions\isCellValue
static isCellValue($idx)
Definition: Functions.php:304
PHPExcel_Calculation_Functions\getCompatibilityMode
static getCompatibilityMode()
Definition: Functions.php:138
PHPExcel_Calculation_Functions\DIV0
static DIV0()
Definition: Functions.php:201
PHPExcel_Calculation_Functions\flattenArrayIndexed
static flattenArrayIndexed($array)
Convert a multi-dimensional array to a simple 1-dimensional array, but retain an element of indexing.
Definition: Functions.php:630
PHPExcel_Calculation_Functions\COMPATIBILITY_OPENOFFICE
const COMPATIBILITY_OPENOFFICE
Definition: Functions.php:64
PHPExcel_Calculation_Functions\NaN
static NaN()
Definition: Functions.php:233
PHPExcel_Calculation_Statistical\AVERAGE
static AVERAGE()
Definition: Statistical.php:748

References AVERAGE(), PHPExcel_Calculation_Functions\COMPATIBILITY_OPENOFFICE, PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\flattenArrayIndexed(), PHPExcel_Calculation_Functions\getCompatibilityMode(), PHPExcel_Calculation_Functions\isCellValue(), and PHPExcel_Calculation_Functions\NaN().

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◆ AVERAGE()

static PHPExcel_Calculation_Statistical::AVERAGE ( )
static

Definition at line 748 of file Statistical.php.

748 {
749 $returnValue = $aCount = 0;
750
751 // Loop through arguments
752 foreach (PHPExcel_Calculation_Functions::flattenArrayIndexed(func_get_args()) as $k => $arg) {
753 if ((is_bool($arg)) &&
754 ((!PHPExcel_Calculation_Functions::isCellValue($k)) || (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE))) {
755 $arg = (integer) $arg;
756 }
757 // Is it a numeric value?
758 if ((is_numeric($arg)) && (!is_string($arg))) {
759 if (is_null($returnValue)) {
760 $returnValue = $arg;
761 } else {
762 $returnValue += $arg;
763 }
764 ++$aCount;
765 }
766 }
767
768 // Return
769 if ($aCount > 0) {
770 return $returnValue / $aCount;
771 } else {
772 return PHPExcel_Calculation_Functions::DIV0();
773 }
774 } // function AVERAGE()

References PHPExcel_Calculation_Functions\COMPATIBILITY_OPENOFFICE, PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\flattenArrayIndexed(), PHPExcel_Calculation_Functions\getCompatibilityMode(), and PHPExcel_Calculation_Functions\isCellValue().

Referenced by AVEDEV(), PHPExcel_Calculation_Database\DAVERAGE(), DEVSQ(), KURT(), SKEW(), STDEV(), STDEVP(), PHPExcel_Calculation_MathTrig\SUBTOTAL(), and TRIMMEAN().

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◆ AVERAGEA()

static PHPExcel_Calculation_Statistical::AVERAGEA ( )
static

Definition at line 790 of file Statistical.php.

790 {
791 // Return value
792 $returnValue = null;
793
794 $aCount = 0;
795 // Loop through arguments
796 foreach (PHPExcel_Calculation_Functions::flattenArrayIndexed(func_get_args()) as $k => $arg) {
797 if ((is_bool($arg)) &&
798 (!PHPExcel_Calculation_Functions::isMatrixValue($k))) {
799 } else {
800 if ((is_numeric($arg)) || (is_bool($arg)) || ((is_string($arg) && ($arg != '')))) {
801 if (is_bool($arg)) {
802 $arg = (integer) $arg;
803 } elseif (is_string($arg)) {
804 $arg = 0;
805 }
806 if (is_null($returnValue)) {
807 $returnValue = $arg;
808 } else {
809 $returnValue += $arg;
810 }
811 ++$aCount;
812 }
813 }
814 }
815
816 // Return
817 if ($aCount > 0) {
818 return $returnValue / $aCount;
819 } else {
820 return PHPExcel_Calculation_Functions::DIV0();
821 }
822 } // function AVERAGEA()
PHPExcel_Calculation_Functions\isMatrixValue
static isMatrixValue($idx)
Definition: Functions.php:294

References PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\flattenArrayIndexed(), and PHPExcel_Calculation_Functions\isMatrixValue().

Referenced by STDEVA(), and STDEVPA().

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◆ AVERAGEIF()

static PHPExcel_Calculation_Statistical::AVERAGEIF (   $aArgs,
  $condition,
  $averageArgs = array() 
)
static

Definition at line 840 of file Statistical.php.

840 {
841 // Return value
842 $returnValue = 0;
843
844 $aArgs = PHPExcel_Calculation_Functions::flattenArray($aArgs);
845 $averageArgs = PHPExcel_Calculation_Functions::flattenArray($averageArgs);
846 if (empty($averageArgs)) {
847 $averageArgs = $aArgs;
848 }
849 $condition = PHPExcel_Calculation_Functions::_ifCondition($condition);
850 // Loop through arguments
851 $aCount = 0;
852 foreach ($aArgs as $key => $arg) {
853 if (!is_numeric($arg)) { $arg = PHPExcel_Calculation::_wrapResult(strtoupper($arg)); }
854 $testCondition = '='.$arg.$condition;
855 if (PHPExcel_Calculation::getInstance()->_calculateFormulaValue($testCondition)) {
856 if ((is_null($returnValue)) || ($arg > $returnValue)) {
857 $returnValue += $arg;
858 ++$aCount;
859 }
860 }
861 }
862
863 // Return
864 if ($aCount > 0) {
865 return $returnValue / $aCount;
866 } else {
867 return PHPExcel_Calculation_Functions::DIV0();
868 }
869 } // function AVERAGEIF()
PHPExcel_Calculation_Functions\_ifCondition
static _ifCondition($condition)
Definition: Functions.php:309
PHPExcel_Calculation\getInstance
static getInstance(PHPExcel $workbook=NULL)
Get an instance of this class.
Definition: Calculation.php:1765
PHPExcel_Calculation\_wrapResult
static _wrapResult($value)
Wrap string values in quotes.
Definition: Calculation.php:2163

References $key, PHPExcel_Calculation_Functions\_ifCondition(), PHPExcel_Calculation\_wrapResult(), PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\flattenArray(), and PHPExcel_Calculation\getInstance().

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◆ BETADIST()

static PHPExcel_Calculation_Statistical::BETADIST (   $value,
  $alpha,
  $beta,
  $rMin = 0,
  $rMax = 1 
)
static

BETADIST.

Returns the beta distribution.

Parameters
float$valueValue at which you want to evaluate the distribution
float$alphaParameter to the distribution
float$betaParameter to the distribution
boolean$cumulative
Returns
float

Definition at line 884 of file Statistical.php.

884 {
885 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
886 $alpha = PHPExcel_Calculation_Functions::flattenSingleValue($alpha);
887 $beta = PHPExcel_Calculation_Functions::flattenSingleValue($beta);
888 $rMin = PHPExcel_Calculation_Functions::flattenSingleValue($rMin);
889 $rMax = PHPExcel_Calculation_Functions::flattenSingleValue($rMax);
890
891 if ((is_numeric($value)) && (is_numeric($alpha)) && (is_numeric($beta)) && (is_numeric($rMin)) && (is_numeric($rMax))) {
892 if (($value < $rMin) || ($value > $rMax) || ($alpha <= 0) || ($beta <= 0) || ($rMin == $rMax)) {
893 return PHPExcel_Calculation_Functions::NaN();
894 }
895 if ($rMin > $rMax) {
896 $tmp = $rMin;
897 $rMin = $rMax;
898 $rMax = $tmp;
899 }
900 $value -= $rMin;
901 $value /= ($rMax - $rMin);
902 return self::_incompleteBeta($value,$alpha,$beta);
903 }
904 return PHPExcel_Calculation_Functions::VALUE();
905 } // function BETADIST()
PHPExcel_Calculation_Functions\flattenSingleValue
static flattenSingleValue($value='')
Convert an array to a single scalar value by extracting the first element.
Definition: Functions.php:662
PHPExcel_Calculation_Functions\VALUE
static VALUE()
Definition: Functions.php:289
PHPExcel_Calculation_Statistical\_incompleteBeta
static _incompleteBeta($x, $p, $q)
Incomplete beta function.
Definition: Statistical.php:120

References _incompleteBeta(), PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

Referenced by BETAINV().

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◆ BETAINV()

static PHPExcel_Calculation_Statistical::BETAINV (   $probability,
  $alpha,
  $beta,
  $rMin = 0,
  $rMax = 1 
)
static

BETAINV.

Returns the inverse of the beta distribution.

Parameters
float$probabilityProbability at which you want to evaluate the distribution
float$alphaParameter to the distribution
float$betaParameter to the distribution
float$rMinMinimum value
float$rMaxMaximum value
boolean$cumulative
Returns
float

Definition at line 922 of file Statistical.php.

922 {
923 $probability = PHPExcel_Calculation_Functions::flattenSingleValue($probability);
924 $alpha = PHPExcel_Calculation_Functions::flattenSingleValue($alpha);
925 $beta = PHPExcel_Calculation_Functions::flattenSingleValue($beta);
926 $rMin = PHPExcel_Calculation_Functions::flattenSingleValue($rMin);
927 $rMax = PHPExcel_Calculation_Functions::flattenSingleValue($rMax);
928
929 if ((is_numeric($probability)) && (is_numeric($alpha)) && (is_numeric($beta)) && (is_numeric($rMin)) && (is_numeric($rMax))) {
930 if (($alpha <= 0) || ($beta <= 0) || ($rMin == $rMax) || ($probability <= 0) || ($probability > 1)) {
931 return PHPExcel_Calculation_Functions::NaN();
932 }
933 if ($rMin > $rMax) {
934 $tmp = $rMin;
935 $rMin = $rMax;
936 $rMax = $tmp;
937 }
938 $a = 0;
939 $b = 2;
940
941 $i = 0;
942 while ((($b - $a) > PRECISION) && ($i++ < MAX_ITERATIONS)) {
943 $guess = ($a + $b) / 2;
944 $result = self::BETADIST($guess, $alpha, $beta);
945 if (($result == $probability) || ($result == 0)) {
946 $b = $a;
947 } elseif ($result > $probability) {
948 $b = $guess;
949 } else {
950 $a = $guess;
951 }
952 }
953 if ($i == MAX_ITERATIONS) {
954 return PHPExcel_Calculation_Functions::NA();
955 }
956 return round($rMin + $guess * ($rMax - $rMin),12);
957 }
958 return PHPExcel_Calculation_Functions::VALUE();
959 } // function BETAINV()
$result
$result
Definition: CleanUpTest.php:463
PHPExcel_Calculation_Statistical\BETADIST
static BETADIST($value, $alpha, $beta, $rMin=0, $rMax=1)
BETADIST.
Definition: Statistical.php:884

References $i, $result, BETADIST(), PHPExcel_Calculation_Functions\flattenSingleValue(), MAX_ITERATIONS, PHPExcel_Calculation_Functions\NA(), PHPExcel_Calculation_Functions\NaN(), PRECISION, and PHPExcel_Calculation_Functions\VALUE().

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◆ BINOMDIST()

static PHPExcel_Calculation_Statistical::BINOMDIST (   $value,
  $trials,
  $probability,
  $cumulative 
)
static

BINOMDIST.

Returns the individual term binomial distribution probability. Use BINOMDIST in problems with a fixed number of tests or trials, when the outcomes of any trial are only success or failure, when trials are independent, and when the probability of success is constant throughout the experiment. For example, BINOMDIST can calculate the probability that two of the next three babies born are male.

Parameters
float$valueNumber of successes in trials
float$trialsNumber of trials
float$probabilityProbability of success on each trial
boolean$cumulative
Returns
float
Todo:
Cumulative distribution function

Definition at line 980 of file Statistical.php.

980 {
981 $value = floor(PHPExcel_Calculation_Functions::flattenSingleValue($value));
982 $trials = floor(PHPExcel_Calculation_Functions::flattenSingleValue($trials));
983 $probability = PHPExcel_Calculation_Functions::flattenSingleValue($probability);
984
985 if ((is_numeric($value)) && (is_numeric($trials)) && (is_numeric($probability))) {
986 if (($value < 0) || ($value > $trials)) {
987 return PHPExcel_Calculation_Functions::NaN();
988 }
989 if (($probability < 0) || ($probability > 1)) {
990 return PHPExcel_Calculation_Functions::NaN();
991 }
992 if ((is_numeric($cumulative)) || (is_bool($cumulative))) {
993 if ($cumulative) {
994 $summer = 0;
995 for ($i = 0; $i <= $value; ++$i) {
996 $summer += PHPExcel_Calculation_MathTrig::COMBIN($trials,$i) * pow($probability,$i) * pow(1 - $probability,$trials - $i);
997 }
998 return $summer;
999 } else {
1000 return PHPExcel_Calculation_MathTrig::COMBIN($trials,$value) * pow($probability,$value) * pow(1 - $probability,$trials - $value) ;
1001 }
1002 }
1003 }
1004 return PHPExcel_Calculation_Functions::VALUE();
1005 } // function BINOMDIST()
PHPExcel_Calculation_MathTrig\COMBIN
static COMBIN($numObjs, $numInSet)
Definition: MathTrig.php:176

References $i, PHPExcel_Calculation_MathTrig\COMBIN(), PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

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◆ CHIDIST()

static PHPExcel_Calculation_Statistical::CHIDIST (   $value,
  $degrees 
)
static

CHIDIST.

Returns the one-tailed probability of the chi-squared distribution.

Parameters
float$valueValue for the function
float$degreesdegrees of freedom
Returns
float

Definition at line 1017 of file Statistical.php.

1017 {
1018 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
1019 $degrees = floor(PHPExcel_Calculation_Functions::flattenSingleValue($degrees));
1020
1021 if ((is_numeric($value)) && (is_numeric($degrees))) {
1022 if ($degrees < 1) {
1023 return PHPExcel_Calculation_Functions::NaN();
1024 }
1025 if ($value < 0) {
1026 if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) {
1027 return 1;
1028 }
1029 return PHPExcel_Calculation_Functions::NaN();
1030 }
1031 return 1 - (self::_incompleteGamma($degrees/2,$value/2) / self::_gamma($degrees/2));
1032 }
1033 return PHPExcel_Calculation_Functions::VALUE();
1034 } // function CHIDIST()
PHPExcel_Calculation_Functions\COMPATIBILITY_GNUMERIC
const COMPATIBILITY_GNUMERIC
Definition: Functions.php:63
PHPExcel_Calculation_Statistical\_incompleteGamma
static _incompleteGamma($a, $x)
Definition: Statistical.php:425
PHPExcel_Calculation_Statistical\_gamma
static _gamma($data)
Definition: Statistical.php:442

References _gamma(), _incompleteGamma(), PHPExcel_Calculation_Functions\COMPATIBILITY_GNUMERIC, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\getCompatibilityMode(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

Referenced by CHIINV().

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◆ CHIINV()

static PHPExcel_Calculation_Statistical::CHIINV (   $probability,
  $degrees 
)
static

CHIINV.

Returns the one-tailed probability of the chi-squared distribution.

Parameters
float$probabilityProbability for the function
float$degreesdegrees of freedom
Returns
float

Definition at line 1046 of file Statistical.php.

1046 {
1047 $probability = PHPExcel_Calculation_Functions::flattenSingleValue($probability);
1048 $degrees = floor(PHPExcel_Calculation_Functions::flattenSingleValue($degrees));
1049
1050 if ((is_numeric($probability)) && (is_numeric($degrees))) {
1051
1052 $xLo = 100;
1053 $xHi = 0;
1054
1055 $x = $xNew = 1;
1056 $dx = 1;
1057 $i = 0;
1058
1059 while ((abs($dx) > PRECISION) && ($i++ < MAX_ITERATIONS)) {
1060 // Apply Newton-Raphson step
1061 $result = self::CHIDIST($x, $degrees);
1062 $error = $result - $probability;
1063 if ($error == 0.0) {
1064 $dx = 0;
1065 } elseif ($error < 0.0) {
1066 $xLo = $x;
1067 } else {
1068 $xHi = $x;
1069 }
1070 // Avoid division by zero
1071 if ($result != 0.0) {
1072 $dx = $error / $result;
1073 $xNew = $x - $dx;
1074 }
1075 // If the NR fails to converge (which for example may be the
1076 // case if the initial guess is too rough) we apply a bisection
1077 // step to determine a more narrow interval around the root.
1078 if (($xNew < $xLo) || ($xNew > $xHi) || ($result == 0.0)) {
1079 $xNew = ($xLo + $xHi) / 2;
1080 $dx = $xNew - $x;
1081 }
1082 $x = $xNew;
1083 }
1084 if ($i == MAX_ITERATIONS) {
1085 return PHPExcel_Calculation_Functions::NA();
1086 }
1087 return round($x,12);
1088 }
1089 return PHPExcel_Calculation_Functions::VALUE();
1090 } // function CHIINV()
PHPExcel_Calculation_Statistical\CHIDIST
static CHIDIST($value, $degrees)
CHIDIST.
Definition: Statistical.php:1017
$error
$error
Definition: Error.php:17

References $error, $i, $result, $x, CHIDIST(), PHPExcel_Calculation_Functions\flattenSingleValue(), MAX_ITERATIONS, PHPExcel_Calculation_Functions\NA(), PRECISION, and PHPExcel_Calculation_Functions\VALUE().

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◆ CONFIDENCE()

static PHPExcel_Calculation_Statistical::CONFIDENCE (   $alpha,
  $stdDev,
  $size 
)
static

CONFIDENCE.

Returns the confidence interval for a population mean

Parameters
float$alpha
float$stdDevStandard Deviation
float$size
Returns
float

Definition at line 1104 of file Statistical.php.

1104 {
1105 $alpha = PHPExcel_Calculation_Functions::flattenSingleValue($alpha);
1106 $stdDev = PHPExcel_Calculation_Functions::flattenSingleValue($stdDev);
1107 $size = floor(PHPExcel_Calculation_Functions::flattenSingleValue($size));
1108
1109 if ((is_numeric($alpha)) && (is_numeric($stdDev)) && (is_numeric($size))) {
1110 if (($alpha <= 0) || ($alpha >= 1)) {
1111 return PHPExcel_Calculation_Functions::NaN();
1112 }
1113 if (($stdDev <= 0) || ($size < 1)) {
1114 return PHPExcel_Calculation_Functions::NaN();
1115 }
1116 return self::NORMSINV(1 - $alpha / 2) * $stdDev / sqrt($size);
1117 }
1118 return PHPExcel_Calculation_Functions::VALUE();
1119 } // function CONFIDENCE()
$size
$size
Definition: RandomTest.php:84
PHPExcel_Calculation_Statistical\NORMSINV
static NORMSINV($value)
NORMSINV.
Definition: Statistical.php:2593

References $size, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), NORMSINV(), and PHPExcel_Calculation_Functions\VALUE().

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◆ CORREL()

static PHPExcel_Calculation_Statistical::CORREL (   $yValues,
  $xValues = null 
)
static

CORREL.

Returns covariance, the average of the products of deviations for each data point pair.

Parameters
arrayof mixed Data Series Y
arrayof mixed Data Series X
Returns
float

Definition at line 1131 of file Statistical.php.

1131 {
1132 if ((is_null($xValues)) || (!is_array($yValues)) || (!is_array($xValues))) {
1133 return PHPExcel_Calculation_Functions::VALUE();
1134 }
1135 if (!self::_checkTrendArrays($yValues,$xValues)) {
1136 return PHPExcel_Calculation_Functions::VALUE();
1137 }
1138 $yValueCount = count($yValues);
1139 $xValueCount = count($xValues);
1140
1141 if (($yValueCount == 0) || ($yValueCount != $xValueCount)) {
1142 return PHPExcel_Calculation_Functions::NA();
1143 } elseif ($yValueCount == 1) {
1144 return PHPExcel_Calculation_Functions::DIV0();
1145 }
1146
1147 $bestFitLinear = trendClass::calculate(trendClass::TREND_LINEAR,$yValues,$xValues);
1148 return $bestFitLinear->getCorrelation();
1149 } // function CORREL()
trendClass\TREND_LINEAR
const TREND_LINEAR
Definition: trendClass.php:45
trendClass\calculate
static calculate($trendType=self::TREND_BEST_FIT, $yValues, $xValues=array(), $const=True)
Definition: trendClass.php:87

References trendClass\calculate(), PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\NA(), trendClass\TREND_LINEAR, and PHPExcel_Calculation_Functions\VALUE().

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◆ COUNT()

static PHPExcel_Calculation_Statistical::COUNT ( )
static

Definition at line 1165 of file Statistical.php.

1165 {
1166 // Return value
1167 $returnValue = 0;
1168
1169 // Loop through arguments
1170 $aArgs = PHPExcel_Calculation_Functions::flattenArrayIndexed(func_get_args());
1171 foreach ($aArgs as $k => $arg) {
1172 if ((is_bool($arg)) &&
1173 ((!PHPExcel_Calculation_Functions::isCellValue($k)) || (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE))) {
1174 $arg = (integer) $arg;
1175 }
1176 // Is it a numeric value?
1177 if ((is_numeric($arg)) && (!is_string($arg))) {
1178 ++$returnValue;
1179 }
1180 }
1181
1182 // Return
1183 return $returnValue;
1184 } // function COUNT()

References PHPExcel_Calculation_Functions\COMPATIBILITY_OPENOFFICE, PHPExcel_Calculation_Functions\flattenArrayIndexed(), PHPExcel_Calculation_Functions\getCompatibilityMode(), and PHPExcel_Calculation_Functions\isCellValue().

Referenced by PHPExcel_Calculation_Database\DCOUNT(), GEOMEAN(), LARGE(), PERCENTILE(), SMALL(), and PHPExcel_Calculation_MathTrig\SUBTOTAL().

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◆ COUNTA()

static PHPExcel_Calculation_Statistical::COUNTA ( )
static

Definition at line 1200 of file Statistical.php.

1200 {
1201 // Return value
1202 $returnValue = 0;
1203
1204 // Loop through arguments
1205 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
1206 foreach ($aArgs as $arg) {
1207 // Is it a numeric, boolean or string value?
1208 if ((is_numeric($arg)) || (is_bool($arg)) || ((is_string($arg) && ($arg != '')))) {
1209 ++$returnValue;
1210 }
1211 }
1212
1213 // Return
1214 return $returnValue;
1215 } // function COUNTA()

References PHPExcel_Calculation_Functions\flattenArray().

Referenced by PHPExcel_Calculation_Database\DCOUNTA(), and PHPExcel_Calculation_MathTrig\SUBTOTAL().

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◆ COUNTBLANK()

static PHPExcel_Calculation_Statistical::COUNTBLANK ( )
static

Definition at line 1231 of file Statistical.php.

1231 {
1232 // Return value
1233 $returnValue = 0;
1234
1235 // Loop through arguments
1236 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
1237 foreach ($aArgs as $arg) {
1238 // Is it a blank cell?
1239 if ((is_null($arg)) || ((is_string($arg)) && ($arg == ''))) {
1240 ++$returnValue;
1241 }
1242 }
1243
1244 // Return
1245 return $returnValue;
1246 } // function COUNTBLANK()

References PHPExcel_Calculation_Functions\flattenArray().

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◆ COUNTIF()

static PHPExcel_Calculation_Statistical::COUNTIF (   $aArgs,
  $condition 
)
static

Definition at line 1263 of file Statistical.php.

1263 {
1264 // Return value
1265 $returnValue = 0;
1266
1267 $aArgs = PHPExcel_Calculation_Functions::flattenArray($aArgs);
1268 $condition = PHPExcel_Calculation_Functions::_ifCondition($condition);
1269 // Loop through arguments
1270 foreach ($aArgs as $arg) {
1271 if (!is_numeric($arg)) { $arg = PHPExcel_Calculation::_wrapResult(strtoupper($arg)); }
1272 $testCondition = '='.$arg.$condition;
1273 if (PHPExcel_Calculation::getInstance()->_calculateFormulaValue($testCondition)) {
1274 // Is it a value within our criteria
1275 ++$returnValue;
1276 }
1277 }
1278
1279 // Return
1280 return $returnValue;
1281 } // function COUNTIF()

References PHPExcel_Calculation_Functions\_ifCondition(), PHPExcel_Calculation\_wrapResult(), PHPExcel_Calculation_Functions\flattenArray(), and PHPExcel_Calculation\getInstance().

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◆ COVAR()

static PHPExcel_Calculation_Statistical::COVAR (   $yValues,
  $xValues 
)
static

COVAR.

Returns covariance, the average of the products of deviations for each data point pair.

Parameters
arrayof mixed Data Series Y
arrayof mixed Data Series X
Returns
float

Definition at line 1293 of file Statistical.php.

1293 {
1294 if (!self::_checkTrendArrays($yValues,$xValues)) {
1295 return PHPExcel_Calculation_Functions::VALUE();
1296 }
1297 $yValueCount = count($yValues);
1298 $xValueCount = count($xValues);
1299
1300 if (($yValueCount == 0) || ($yValueCount != $xValueCount)) {
1301 return PHPExcel_Calculation_Functions::NA();
1302 } elseif ($yValueCount == 1) {
1303 return PHPExcel_Calculation_Functions::DIV0();
1304 }
1305
1306 $bestFitLinear = trendClass::calculate(trendClass::TREND_LINEAR,$yValues,$xValues);
1307 return $bestFitLinear->getCovariance();
1308 } // function COVAR()

References trendClass\calculate(), PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\NA(), trendClass\TREND_LINEAR, and PHPExcel_Calculation_Functions\VALUE().

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◆ CRITBINOM()

static PHPExcel_Calculation_Statistical::CRITBINOM (   $trials,
  $probability,
  $alpha 
)
static

CRITBINOM.

Returns the smallest value for which the cumulative binomial distribution is greater than or equal to a criterion value

See http://support.microsoft.com/kb/828117/ for details of the algorithm used

Parameters
float$trialsnumber of Bernoulli trials
float$probabilityprobability of a success on each trial
float$alphacriterion value
Returns
int
Todo:
Warning. This implementation differs from the algorithm detailed on the MS web site in that $CumPGuessMinus1 = $CumPGuess - 1 rather than $CumPGuess - $PGuess This eliminates a potential endless loop error, but may have an adverse affect on the accuracy of the function (although all my tests have so far returned correct results).

Definition at line 1330 of file Statistical.php.

1330 {
1331 $trials = floor(PHPExcel_Calculation_Functions::flattenSingleValue($trials));
1332 $probability = PHPExcel_Calculation_Functions::flattenSingleValue($probability);
1333 $alpha = PHPExcel_Calculation_Functions::flattenSingleValue($alpha);
1334
1335 if ((is_numeric($trials)) && (is_numeric($probability)) && (is_numeric($alpha))) {
1336 if ($trials < 0) {
1337 return PHPExcel_Calculation_Functions::NaN();
1338 }
1339 if (($probability < 0) || ($probability > 1)) {
1340 return PHPExcel_Calculation_Functions::NaN();
1341 }
1342 if (($alpha < 0) || ($alpha > 1)) {
1343 return PHPExcel_Calculation_Functions::NaN();
1344 }
1345 if ($alpha <= 0.5) {
1346 $t = sqrt(log(1 / ($alpha * $alpha)));
1347 $trialsApprox = 0 - ($t + (2.515517 + 0.802853 * $t + 0.010328 * $t * $t) / (1 + 1.432788 * $t + 0.189269 * $t * $t + 0.001308 * $t * $t * $t));
1348 } else {
1349 $t = sqrt(log(1 / pow(1 - $alpha,2)));
1350 $trialsApprox = $t - (2.515517 + 0.802853 * $t + 0.010328 * $t * $t) / (1 + 1.432788 * $t + 0.189269 * $t * $t + 0.001308 * $t * $t * $t);
1351 }
1352 $Guess = floor($trials * $probability + $trialsApprox * sqrt($trials * $probability * (1 - $probability)));
1353 if ($Guess < 0) {
1354 $Guess = 0;
1355 } elseif ($Guess > $trials) {
1356 $Guess = $trials;
1357 }
1358
1359 $TotalUnscaledProbability = $UnscaledPGuess = $UnscaledCumPGuess = 0.0;
1360 $EssentiallyZero = 10e-12;
1361
1362 $m = floor($trials * $probability);
1363 ++$TotalUnscaledProbability;
1364 if ($m == $Guess) { ++$UnscaledPGuess; }
1365 if ($m <= $Guess) { ++$UnscaledCumPGuess; }
1366
1367 $PreviousValue = 1;
1368 $Done = False;
1369 $k = $m + 1;
1370 while ((!$Done) && ($k <= $trials)) {
1371 $CurrentValue = $PreviousValue * ($trials - $k + 1) * $probability / ($k * (1 - $probability));
1372 $TotalUnscaledProbability += $CurrentValue;
1373 if ($k == $Guess) { $UnscaledPGuess += $CurrentValue; }
1374 if ($k <= $Guess) { $UnscaledCumPGuess += $CurrentValue; }
1375 if ($CurrentValue <= $EssentiallyZero) { $Done = True; }
1376 $PreviousValue = $CurrentValue;
1377 ++$k;
1378 }
1379
1380 $PreviousValue = 1;
1381 $Done = False;
1382 $k = $m - 1;
1383 while ((!$Done) && ($k >= 0)) {
1384 $CurrentValue = $PreviousValue * $k + 1 * (1 - $probability) / (($trials - $k) * $probability);
1385 $TotalUnscaledProbability += $CurrentValue;
1386 if ($k == $Guess) { $UnscaledPGuess += $CurrentValue; }
1387 if ($k <= $Guess) { $UnscaledCumPGuess += $CurrentValue; }
1388 if ($CurrentValue <= $EssentiallyZero) { $Done = True; }
1389 $PreviousValue = $CurrentValue;
1390 --$k;
1391 }
1392
1393 $PGuess = $UnscaledPGuess / $TotalUnscaledProbability;
1394 $CumPGuess = $UnscaledCumPGuess / $TotalUnscaledProbability;
1395
1396// $CumPGuessMinus1 = $CumPGuess - $PGuess;
1397 $CumPGuessMinus1 = $CumPGuess - 1;
1398
1399 while (True) {
1400 if (($CumPGuessMinus1 < $alpha) && ($CumPGuess >= $alpha)) {
1401 return $Guess;
1402 } elseif (($CumPGuessMinus1 < $alpha) && ($CumPGuess < $alpha)) {
1403 $PGuessPlus1 = $PGuess * ($trials - $Guess) * $probability / $Guess / (1 - $probability);
1404 $CumPGuessMinus1 = $CumPGuess;
1405 $CumPGuess = $CumPGuess + $PGuessPlus1;
1406 $PGuess = $PGuessPlus1;
1407 ++$Guess;
1408 } elseif (($CumPGuessMinus1 >= $alpha) && ($CumPGuess >= $alpha)) {
1409 $PGuessMinus1 = $PGuess * $Guess * (1 - $probability) / ($trials - $Guess + 1) / $probability;
1410 $CumPGuess = $CumPGuessMinus1;
1411 $CumPGuessMinus1 = $CumPGuessMinus1 - $PGuess;
1412 $PGuess = $PGuessMinus1;
1413 --$Guess;
1414 }
1415 }
1416 }
1417 return PHPExcel_Calculation_Functions::VALUE();
1418 } // function CRITBINOM()

References $m, $t, e(), PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

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◆ DEVSQ()

static PHPExcel_Calculation_Statistical::DEVSQ ( )
static

Definition at line 1434 of file Statistical.php.

1434 {
1435 $aArgs = PHPExcel_Calculation_Functions::flattenArrayIndexed(func_get_args());
1436
1437 // Return value
1438 $returnValue = null;
1439
1440 $aMean = self::AVERAGE($aArgs);
1441 if ($aMean != PHPExcel_Calculation_Functions::DIV0()) {
1442 $aCount = -1;
1443 foreach ($aArgs as $k => $arg) {
1444 // Is it a numeric value?
1445 if ((is_bool($arg)) &&
1446 ((!PHPExcel_Calculation_Functions::isCellValue($k)) || (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE))) {
1447 $arg = (integer) $arg;
1448 }
1449 if ((is_numeric($arg)) && (!is_string($arg))) {
1450 if (is_null($returnValue)) {
1451 $returnValue = pow(($arg - $aMean),2);
1452 } else {
1453 $returnValue += pow(($arg - $aMean),2);
1454 }
1455 ++$aCount;
1456 }
1457 }
1458
1459 // Return
1460 if (is_null($returnValue)) {
1461 return PHPExcel_Calculation_Functions::NaN();
1462 } else {
1463 return $returnValue;
1464 }
1465 }
1466 return self::NA();
1467 } // function DEVSQ()

References AVERAGE(), PHPExcel_Calculation_Functions\COMPATIBILITY_OPENOFFICE, PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\flattenArrayIndexed(), PHPExcel_Calculation_Functions\getCompatibilityMode(), PHPExcel_Calculation_Functions\isCellValue(), and PHPExcel_Calculation_Functions\NaN().

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◆ EXPONDIST()

static PHPExcel_Calculation_Statistical::EXPONDIST (   $value,
  $lambda,
  $cumulative 
)
static

EXPONDIST. 

 Returns the exponential distribution. Use EXPONDIST to model the time between events,
    such as how long an automated bank teller takes to deliver cash. For example, you can
    use EXPONDIST to determine the probability that the process takes at most 1 minute.
Parameters
float$valueValue of the function
float$lambdaThe parameter value
boolean$cumulative
Returns
float

Definition at line 1482 of file Statistical.php.

1482 {
1483 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
1484 $lambda = PHPExcel_Calculation_Functions::flattenSingleValue($lambda);
1485 $cumulative = PHPExcel_Calculation_Functions::flattenSingleValue($cumulative);
1486
1487 if ((is_numeric($value)) && (is_numeric($lambda))) {
1488 if (($value < 0) || ($lambda < 0)) {
1489 return PHPExcel_Calculation_Functions::NaN();
1490 }
1491 if ((is_numeric($cumulative)) || (is_bool($cumulative))) {
1492 if ($cumulative) {
1493 return 1 - exp(0-$value*$lambda);
1494 } else {
1495 return $lambda * exp(0-$value*$lambda);
1496 }
1497 }
1498 }
1499 return PHPExcel_Calculation_Functions::VALUE();
1500 } // function EXPONDIST()

References PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

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◆ FISHER()

static PHPExcel_Calculation_Statistical::FISHER (   $value)
static

FISHER.

Returns the Fisher transformation at x. This transformation produces a function that is normally distributed rather than skewed. Use this function to perform hypothesis testing on the correlation coefficient.

Parameters
float$value
Returns
float

Definition at line 1513 of file Statistical.php.

1513 {
1514 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
1515
1516 if (is_numeric($value)) {
1517 if (($value <= -1) || ($value >= 1)) {
1518 return PHPExcel_Calculation_Functions::NaN();
1519 }
1520 return 0.5 * log((1+$value)/(1-$value));
1521 }
1522 return PHPExcel_Calculation_Functions::VALUE();
1523 } // function FISHER()

References PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

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◆ FISHERINV()

static PHPExcel_Calculation_Statistical::FISHERINV (   $value)
static

FISHERINV.

Returns the inverse of the Fisher transformation. Use this transformation when analyzing correlations between ranges or arrays of data. If y = FISHER(x), then FISHERINV(y) = x.

Parameters
float$value
Returns
float

Definition at line 1536 of file Statistical.php.

1536 {
1537 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
1538
1539 if (is_numeric($value)) {
1540 return (exp(2 * $value) - 1) / (exp(2 * $value) + 1);
1541 }
1542 return PHPExcel_Calculation_Functions::VALUE();
1543 } // function FISHERINV()

References PHPExcel_Calculation_Functions\flattenSingleValue(), and PHPExcel_Calculation_Functions\VALUE().

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◆ FORECAST()

static PHPExcel_Calculation_Statistical::FORECAST (   $xValue,
  $yValues,
  $xValues 
)
static

FORECAST.

Calculates, or predicts, a future value by using existing values. The predicted value is a y-value for a given x-value.

Parameters
floatValue of X for which we want to find Y
arrayof mixed Data Series Y
arrayof mixed Data Series X
Returns
float

Definition at line 1556 of file Statistical.php.

1556 {
1557 $xValue = PHPExcel_Calculation_Functions::flattenSingleValue($xValue);
1558 if (!is_numeric($xValue)) {
1559 return PHPExcel_Calculation_Functions::VALUE();
1560 }
1561
1562 if (!self::_checkTrendArrays($yValues,$xValues)) {
1563 return PHPExcel_Calculation_Functions::VALUE();
1564 }
1565 $yValueCount = count($yValues);
1566 $xValueCount = count($xValues);
1567
1568 if (($yValueCount == 0) || ($yValueCount != $xValueCount)) {
1569 return PHPExcel_Calculation_Functions::NA();
1570 } elseif ($yValueCount == 1) {
1571 return PHPExcel_Calculation_Functions::DIV0();
1572 }
1573
1574 $bestFitLinear = trendClass::calculate(trendClass::TREND_LINEAR,$yValues,$xValues);
1575 return $bestFitLinear->getValueOfYForX($xValue);
1576 } // function FORECAST()

References trendClass\calculate(), PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NA(), trendClass\TREND_LINEAR, and PHPExcel_Calculation_Functions\VALUE().

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◆ GAMMADIST()

static PHPExcel_Calculation_Statistical::GAMMADIST (   $value,
  $a,
  $b,
  $cumulative 
)
static

GAMMADIST.

Returns the gamma distribution.

Parameters
float$valueValue at which you want to evaluate the distribution
float$aParameter to the distribution
float$bParameter to the distribution
boolean$cumulative
Returns
float

Definition at line 1591 of file Statistical.php.

1591 {
1592 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
1593 $a = PHPExcel_Calculation_Functions::flattenSingleValue($a);
1594 $b = PHPExcel_Calculation_Functions::flattenSingleValue($b);
1595
1596 if ((is_numeric($value)) && (is_numeric($a)) && (is_numeric($b))) {
1597 if (($value < 0) || ($a <= 0) || ($b <= 0)) {
1598 return PHPExcel_Calculation_Functions::NaN();
1599 }
1600 if ((is_numeric($cumulative)) || (is_bool($cumulative))) {
1601 if ($cumulative) {
1602 return self::_incompleteGamma($a,$value / $b) / self::_gamma($a);
1603 } else {
1604 return (1 / (pow($b,$a) * self::_gamma($a))) * pow($value,$a-1) * exp(0-($value / $b));
1605 }
1606 }
1607 }
1608 return PHPExcel_Calculation_Functions::VALUE();
1609 } // function GAMMADIST()

References _gamma(), _incompleteGamma(), PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

Referenced by GAMMAINV().

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◆ GAMMAINV()

static PHPExcel_Calculation_Statistical::GAMMAINV (   $probability,
  $alpha,
  $beta 
)
static

GAMMAINV.

Returns the inverse of the beta distribution.

Parameters
float$probabilityProbability at which you want to evaluate the distribution
float$alphaParameter to the distribution
float$betaParameter to the distribution
Returns
float

Definition at line 1623 of file Statistical.php.

1623 {
1624 $probability = PHPExcel_Calculation_Functions::flattenSingleValue($probability);
1625 $alpha = PHPExcel_Calculation_Functions::flattenSingleValue($alpha);
1626 $beta = PHPExcel_Calculation_Functions::flattenSingleValue($beta);
1627
1628 if ((is_numeric($probability)) && (is_numeric($alpha)) && (is_numeric($beta))) {
1629 if (($alpha <= 0) || ($beta <= 0) || ($probability < 0) || ($probability > 1)) {
1630 return PHPExcel_Calculation_Functions::NaN();
1631 }
1632
1633 $xLo = 0;
1634 $xHi = $alpha * $beta * 5;
1635
1636 $x = $xNew = 1;
1637 $error = $pdf = 0;
1638 $dx = 1024;
1639 $i = 0;
1640
1641 while ((abs($dx) > PRECISION) && ($i++ < MAX_ITERATIONS)) {
1642 // Apply Newton-Raphson step
1643 $error = self::GAMMADIST($x, $alpha, $beta, True) - $probability;
1644 if ($error < 0.0) {
1645 $xLo = $x;
1646 } else {
1647 $xHi = $x;
1648 }
1649 $pdf = self::GAMMADIST($x, $alpha, $beta, False);
1650 // Avoid division by zero
1651 if ($pdf != 0.0) {
1652 $dx = $error / $pdf;
1653 $xNew = $x - $dx;
1654 }
1655 // If the NR fails to converge (which for example may be the
1656 // case if the initial guess is too rough) we apply a bisection
1657 // step to determine a more narrow interval around the root.
1658 if (($xNew < $xLo) || ($xNew > $xHi) || ($pdf == 0.0)) {
1659 $xNew = ($xLo + $xHi) / 2;
1660 $dx = $xNew - $x;
1661 }
1662 $x = $xNew;
1663 }
1664 if ($i == MAX_ITERATIONS) {
1665 return PHPExcel_Calculation_Functions::NA();
1666 }
1667 return $x;
1668 }
1669 return PHPExcel_Calculation_Functions::VALUE();
1670 } // function GAMMAINV()
PHPExcel_Calculation_Statistical\GAMMADIST
static GAMMADIST($value, $a, $b, $cumulative)
GAMMADIST.
Definition: Statistical.php:1591
$pdf
$pdf
Definition: example_001.php:31

References $error, $i, $pdf, $x, PHPExcel_Calculation_Functions\flattenSingleValue(), GAMMADIST(), MAX_ITERATIONS, PHPExcel_Calculation_Functions\NA(), PHPExcel_Calculation_Functions\NaN(), PRECISION, and PHPExcel_Calculation_Functions\VALUE().

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◆ GAMMALN()

static PHPExcel_Calculation_Statistical::GAMMALN (   $value)
static

GAMMALN.

Returns the natural logarithm of the gamma function.

Parameters
float$value
Returns
float

Definition at line 1681 of file Statistical.php.

1681 {
1682 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
1683
1684 if (is_numeric($value)) {
1685 if ($value <= 0) {
1686 return PHPExcel_Calculation_Functions::NaN();
1687 }
1688 return log(self::_gamma($value));
1689 }
1690 return PHPExcel_Calculation_Functions::VALUE();
1691 } // function GAMMALN()

References PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

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◆ GEOMEAN()

static PHPExcel_Calculation_Statistical::GEOMEAN ( )
static

Definition at line 1709 of file Statistical.php.

1709 {
1710 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
1711
1712 $aMean = PHPExcel_Calculation_MathTrig::PRODUCT($aArgs);
1713 if (is_numeric($aMean) && ($aMean > 0)) {
1714 $aCount = self::COUNT($aArgs) ;
1715 if (self::MIN($aArgs) > 0) {
1716 return pow($aMean, (1 / $aCount));
1717 }
1718 }
1719 return PHPExcel_Calculation_Functions::NaN();
1720 } // GEOMEAN()
PHPExcel_Calculation_MathTrig\PRODUCT
static PRODUCT()
Definition: MathTrig.php:811
PHPExcel_Calculation_Statistical\COUNT
static COUNT()
Definition: Statistical.php:1165

References COUNT(), PHPExcel_Calculation_Functions\flattenArray(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_MathTrig\PRODUCT().

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◆ GROWTH()

static PHPExcel_Calculation_Statistical::GROWTH (   $yValues,
  $xValues = array(),
  $newValues = array(),
  $const = True 
)
static

GROWTH.

Returns values along a predicted emponential trend

Parameters
arrayof mixed Data Series Y
arrayof mixed Data Series X
arrayof mixed Values of X for which we want to find Y
booleanA logical value specifying whether to force the intersect to equal 0.
Returns
array of float

Definition at line 1734 of file Statistical.php.

1734 {
1735 $yValues = PHPExcel_Calculation_Functions::flattenArray($yValues);
1736 $xValues = PHPExcel_Calculation_Functions::flattenArray($xValues);
1737 $newValues = PHPExcel_Calculation_Functions::flattenArray($newValues);
1738 $const = (is_null($const)) ? True : (boolean) PHPExcel_Calculation_Functions::flattenSingleValue($const);
1739
1740 $bestFitExponential = trendClass::calculate(trendClass::TREND_EXPONENTIAL,$yValues,$xValues,$const);
1741 if (empty($newValues)) {
1742 $newValues = $bestFitExponential->getXValues();
1743 }
1744
1745 $returnArray = array();
1746 foreach($newValues as $xValue) {
1747 $returnArray[0][] = $bestFitExponential->getValueOfYForX($xValue);
1748 }
1749
1750 return $returnArray;
1751 } // function GROWTH()
trendClass\TREND_EXPONENTIAL
const TREND_EXPONENTIAL
Definition: trendClass.php:47

References trendClass\calculate(), PHPExcel_Calculation_Functions\flattenArray(), PHPExcel_Calculation_Functions\flattenSingleValue(), and trendClass\TREND_EXPONENTIAL.

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◆ HARMEAN()

static PHPExcel_Calculation_Statistical::HARMEAN ( )
static

Definition at line 1768 of file Statistical.php.

1768 {
1769 // Return value
1770 $returnValue = PHPExcel_Calculation_Functions::NA();
1771
1772 // Loop through arguments
1773 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
1774 if (self::MIN($aArgs) < 0) {
1775 return PHPExcel_Calculation_Functions::NaN();
1776 }
1777 $aCount = 0;
1778 foreach ($aArgs as $arg) {
1779 // Is it a numeric value?
1780 if ((is_numeric($arg)) && (!is_string($arg))) {
1781 if ($arg <= 0) {
1782 return PHPExcel_Calculation_Functions::NaN();
1783 }
1784 if (is_null($returnValue)) {
1785 $returnValue = (1 / $arg);
1786 } else {
1787 $returnValue += (1 / $arg);
1788 }
1789 ++$aCount;
1790 }
1791 }
1792
1793 // Return
1794 if ($aCount > 0) {
1795 return 1 / ($returnValue / $aCount);
1796 } else {
1797 return $returnValue;
1798 }
1799 } // function HARMEAN()

References PHPExcel_Calculation_Functions\flattenArray(), PHPExcel_Calculation_Functions\NA(), and PHPExcel_Calculation_Functions\NaN().

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◆ HYPGEOMDIST()

static PHPExcel_Calculation_Statistical::HYPGEOMDIST (   $sampleSuccesses,
  $sampleNumber,
  $populationSuccesses,
  $populationNumber 
)
static

HYPGEOMDIST.

Returns the hypergeometric distribution. HYPGEOMDIST returns the probability of a given number of sample successes, given the sample size, population successes, and population size.

Parameters
float$sampleSuccessesNumber of successes in the sample
float$sampleNumberSize of the sample
float$populationSuccessesNumber of successes in the population
float$populationNumberPopulation size
Returns
float

Definition at line 1815 of file Statistical.php.

1815 {
1816 $sampleSuccesses = floor(PHPExcel_Calculation_Functions::flattenSingleValue($sampleSuccesses));
1817 $sampleNumber = floor(PHPExcel_Calculation_Functions::flattenSingleValue($sampleNumber));
1818 $populationSuccesses = floor(PHPExcel_Calculation_Functions::flattenSingleValue($populationSuccesses));
1819 $populationNumber = floor(PHPExcel_Calculation_Functions::flattenSingleValue($populationNumber));
1820
1821 if ((is_numeric($sampleSuccesses)) && (is_numeric($sampleNumber)) && (is_numeric($populationSuccesses)) && (is_numeric($populationNumber))) {
1822 if (($sampleSuccesses < 0) || ($sampleSuccesses > $sampleNumber) || ($sampleSuccesses > $populationSuccesses)) {
1823 return PHPExcel_Calculation_Functions::NaN();
1824 }
1825 if (($sampleNumber <= 0) || ($sampleNumber > $populationNumber)) {
1826 return PHPExcel_Calculation_Functions::NaN();
1827 }
1828 if (($populationSuccesses <= 0) || ($populationSuccesses > $populationNumber)) {
1829 return PHPExcel_Calculation_Functions::NaN();
1830 }
1831 return PHPExcel_Calculation_MathTrig::COMBIN($populationSuccesses,$sampleSuccesses) *
1832 PHPExcel_Calculation_MathTrig::COMBIN($populationNumber - $populationSuccesses,$sampleNumber - $sampleSuccesses) /
1833 PHPExcel_Calculation_MathTrig::COMBIN($populationNumber,$sampleNumber);
1834 }
1835 return PHPExcel_Calculation_Functions::VALUE();
1836 } // function HYPGEOMDIST()

References PHPExcel_Calculation_MathTrig\COMBIN(), PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

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◆ INTERCEPT()

static PHPExcel_Calculation_Statistical::INTERCEPT (   $yValues,
  $xValues 
)
static

INTERCEPT.

Calculates the point at which a line will intersect the y-axis by using existing x-values and y-values.

Parameters
arrayof mixed Data Series Y
arrayof mixed Data Series X
Returns
float

Definition at line 1848 of file Statistical.php.

1848 {
1849 if (!self::_checkTrendArrays($yValues,$xValues)) {
1850 return PHPExcel_Calculation_Functions::VALUE();
1851 }
1852 $yValueCount = count($yValues);
1853 $xValueCount = count($xValues);
1854
1855 if (($yValueCount == 0) || ($yValueCount != $xValueCount)) {
1856 return PHPExcel_Calculation_Functions::NA();
1857 } elseif ($yValueCount == 1) {
1858 return PHPExcel_Calculation_Functions::DIV0();
1859 }
1860
1861 $bestFitLinear = trendClass::calculate(trendClass::TREND_LINEAR,$yValues,$xValues);
1862 return $bestFitLinear->getIntersect();
1863 } // function INTERCEPT()

References trendClass\calculate(), PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\NA(), trendClass\TREND_LINEAR, and PHPExcel_Calculation_Functions\VALUE().

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◆ KURT()

static PHPExcel_Calculation_Statistical::KURT ( )
static

KURT.

Returns the kurtosis of a data set. Kurtosis characterizes the relative peakedness or flatness of a distribution compared with the normal distribution. Positive kurtosis indicates a relatively peaked distribution. Negative kurtosis indicates a relatively flat distribution.

Parameters
arrayData Series
Returns
float

Definition at line 1877 of file Statistical.php.

1877 {
1878 $aArgs = PHPExcel_Calculation_Functions::flattenArrayIndexed(func_get_args());
1879 $mean = self::AVERAGE($aArgs);
1880 $stdDev = self::STDEV($aArgs);
1881
1882 if ($stdDev > 0) {
1883 $count = $summer = 0;
1884 // Loop through arguments
1885 foreach ($aArgs as $k => $arg) {
1886 if ((is_bool($arg)) &&
1887 (!PHPExcel_Calculation_Functions::isMatrixValue($k))) {
1888 } else {
1889 // Is it a numeric value?
1890 if ((is_numeric($arg)) && (!is_string($arg))) {
1891 $summer += pow((($arg - $mean) / $stdDev),4) ;
1892 ++$count;
1893 }
1894 }
1895 }
1896
1897 // Return
1898 if ($count > 3) {
1899 return $summer * ($count * ($count+1) / (($count-1) * ($count-2) * ($count-3))) - (3 * pow($count-1,2) / (($count-2) * ($count-3)));
1900 }
1901 }
1902 return PHPExcel_Calculation_Functions::DIV0();
1903 } // function KURT()
PHPExcel_Calculation_Statistical\STDEV
static STDEV()
Definition: Statistical.php:2997

References AVERAGE(), PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\flattenArrayIndexed(), PHPExcel_Calculation_Functions\isMatrixValue(), and STDEV().

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◆ LARGE()

static PHPExcel_Calculation_Statistical::LARGE ( )
static

Definition at line 1922 of file Statistical.php.

1922 {
1923 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
1924
1925 // Calculate
1926 $entry = floor(array_pop($aArgs));
1927
1928 if ((is_numeric($entry)) && (!is_string($entry))) {
1929 $mArgs = array();
1930 foreach ($aArgs as $arg) {
1931 // Is it a numeric value?
1932 if ((is_numeric($arg)) && (!is_string($arg))) {
1933 $mArgs[] = $arg;
1934 }
1935 }
1936 $count = self::COUNT($mArgs);
1937 $entry = floor(--$entry);
1938 if (($entry < 0) || ($entry >= $count) || ($count == 0)) {
1939 return PHPExcel_Calculation_Functions::NaN();
1940 }
1941 rsort($mArgs);
1942 return $mArgs[$entry];
1943 }
1944 return PHPExcel_Calculation_Functions::VALUE();
1945 } // function LARGE()

References COUNT(), PHPExcel_Calculation_Functions\flattenArray(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

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◆ LINEST()

static PHPExcel_Calculation_Statistical::LINEST (   $yValues,
  $xValues = NULL,
  $const = TRUE,
  $stats = FALSE 
)
static

LINEST.

Calculates the statistics for a line by using the "least squares" method to calculate a straight line that best fits your data, and then returns an array that describes the line.

Parameters
arrayof mixed Data Series Y
arrayof mixed Data Series X
booleanA logical value specifying whether to force the intersect to equal 0.
booleanA logical value specifying whether to return additional regression statistics.
Returns
array

Definition at line 1960 of file Statistical.php.

1960 {
1961 $const = (is_null($const)) ? TRUE : (boolean) PHPExcel_Calculation_Functions::flattenSingleValue($const);
1962 $stats = (is_null($stats)) ? FALSE : (boolean) PHPExcel_Calculation_Functions::flattenSingleValue($stats);
1963 if (is_null($xValues)) $xValues = range(1,count(PHPExcel_Calculation_Functions::flattenArray($yValues)));
1964
1965 if (!self::_checkTrendArrays($yValues,$xValues)) {
1966 return PHPExcel_Calculation_Functions::VALUE();
1967 }
1968 $yValueCount = count($yValues);
1969 $xValueCount = count($xValues);
1970
1971
1972 if (($yValueCount == 0) || ($yValueCount != $xValueCount)) {
1973 return PHPExcel_Calculation_Functions::NA();
1974 } elseif ($yValueCount == 1) {
1975 return 0;
1976 }
1977
1978 $bestFitLinear = trendClass::calculate(trendClass::TREND_LINEAR,$yValues,$xValues,$const);
1979 if ($stats) {
1980 return array( array( $bestFitLinear->getSlope(),
1981 $bestFitLinear->getSlopeSE(),
1982 $bestFitLinear->getGoodnessOfFit(),
1983 $bestFitLinear->getF(),
1984 $bestFitLinear->getSSRegression(),
1985 ),
1986 array( $bestFitLinear->getIntersect(),
1987 $bestFitLinear->getIntersectSE(),
1988 $bestFitLinear->getStdevOfResiduals(),
1989 $bestFitLinear->getDFResiduals(),
1990 $bestFitLinear->getSSResiduals()
1991 )
1992 );
1993 } else {
1994 return array( $bestFitLinear->getSlope(),
1995 $bestFitLinear->getIntersect()
1996 );
1997 }
1998 } // function LINEST()
$stats
$stats
Definition: memcacheSync.php:36

References $stats, trendClass\calculate(), PHPExcel_Calculation_Functions\flattenArray(), PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NA(), trendClass\TREND_LINEAR, and PHPExcel_Calculation_Functions\VALUE().

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◆ LOGEST()

static PHPExcel_Calculation_Statistical::LOGEST (   $yValues,
  $xValues = null,
  $const = True,
  $stats = False 
)
static

LOGEST.

Calculates an exponential curve that best fits the X and Y data series, and then returns an array that describes the line.

Parameters
arrayof mixed Data Series Y
arrayof mixed Data Series X
booleanA logical value specifying whether to force the intersect to equal 0.
booleanA logical value specifying whether to return additional regression statistics.
Returns
array

Definition at line 2013 of file Statistical.php.

2013 {
2014 $const = (is_null($const)) ? True : (boolean) PHPExcel_Calculation_Functions::flattenSingleValue($const);
2015 $stats = (is_null($stats)) ? False : (boolean) PHPExcel_Calculation_Functions::flattenSingleValue($stats);
2016 if (is_null($xValues)) $xValues = range(1,count(PHPExcel_Calculation_Functions::flattenArray($yValues)));
2017
2018 if (!self::_checkTrendArrays($yValues,$xValues)) {
2019 return PHPExcel_Calculation_Functions::VALUE();
2020 }
2021 $yValueCount = count($yValues);
2022 $xValueCount = count($xValues);
2023
2024 foreach($yValues as $value) {
2025 if ($value <= 0.0) {
2026 return PHPExcel_Calculation_Functions::NaN();
2027 }
2028 }
2029
2030
2031 if (($yValueCount == 0) || ($yValueCount != $xValueCount)) {
2032 return PHPExcel_Calculation_Functions::NA();
2033 } elseif ($yValueCount == 1) {
2034 return 1;
2035 }
2036
2037 $bestFitExponential = trendClass::calculate(trendClass::TREND_EXPONENTIAL,$yValues,$xValues,$const);
2038 if ($stats) {
2039 return array( array( $bestFitExponential->getSlope(),
2040 $bestFitExponential->getSlopeSE(),
2041 $bestFitExponential->getGoodnessOfFit(),
2042 $bestFitExponential->getF(),
2043 $bestFitExponential->getSSRegression(),
2044 ),
2045 array( $bestFitExponential->getIntersect(),
2046 $bestFitExponential->getIntersectSE(),
2047 $bestFitExponential->getStdevOfResiduals(),
2048 $bestFitExponential->getDFResiduals(),
2049 $bestFitExponential->getSSResiduals()
2050 )
2051 );
2052 } else {
2053 return array( $bestFitExponential->getSlope(),
2054 $bestFitExponential->getIntersect()
2055 );
2056 }
2057 } // function LOGEST()

References $stats, trendClass\calculate(), PHPExcel_Calculation_Functions\flattenArray(), PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NA(), PHPExcel_Calculation_Functions\NaN(), trendClass\TREND_EXPONENTIAL, and PHPExcel_Calculation_Functions\VALUE().

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◆ LOGINV()

static PHPExcel_Calculation_Statistical::LOGINV (   $probability,
  $mean,
  $stdDev 
)
static

LOGINV.

Returns the inverse of the normal cumulative distribution

Parameters
float$probability
float$mean
float$stdDev
Returns
float
Todo:
Try implementing P J Acklam's refinement algorithm for greater accuracy if I can get my head round the mathematics (as described at) http://home.online.no/~pjacklam/notes/invnorm/

Definition at line 2074 of file Statistical.php.

2074 {
2075 $probability = PHPExcel_Calculation_Functions::flattenSingleValue($probability);
2076 $mean = PHPExcel_Calculation_Functions::flattenSingleValue($mean);
2077 $stdDev = PHPExcel_Calculation_Functions::flattenSingleValue($stdDev);
2078
2079 if ((is_numeric($probability)) && (is_numeric($mean)) && (is_numeric($stdDev))) {
2080 if (($probability < 0) || ($probability > 1) || ($stdDev <= 0)) {
2081 return PHPExcel_Calculation_Functions::NaN();
2082 }
2083 return exp($mean + $stdDev * self::NORMSINV($probability));
2084 }
2085 return PHPExcel_Calculation_Functions::VALUE();
2086 } // function LOGINV()

References PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

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◆ LOGNORMDIST()

static PHPExcel_Calculation_Statistical::LOGNORMDIST (   $value,
  $mean,
  $stdDev 
)
static

LOGNORMDIST.

Returns the cumulative lognormal distribution of x, where ln(x) is normally distributed with parameters mean and standard_dev.

Parameters
float$value
float$mean
float$stdDev
Returns
float

Definition at line 2100 of file Statistical.php.

2100 {
2101 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
2102 $mean = PHPExcel_Calculation_Functions::flattenSingleValue($mean);
2103 $stdDev = PHPExcel_Calculation_Functions::flattenSingleValue($stdDev);
2104
2105 if ((is_numeric($value)) && (is_numeric($mean)) && (is_numeric($stdDev))) {
2106 if (($value <= 0) || ($stdDev <= 0)) {
2107 return PHPExcel_Calculation_Functions::NaN();
2108 }
2109 return self::NORMSDIST((log($value) - $mean) / $stdDev);
2110 }
2111 return PHPExcel_Calculation_Functions::VALUE();
2112 } // function LOGNORMDIST()
PHPExcel_Calculation_Statistical\NORMSDIST
static NORMSDIST($value)
NORMSDIST.
Definition: Statistical.php:2578

References PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), NORMSDIST(), and PHPExcel_Calculation_Functions\VALUE().

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◆ MAX()

static PHPExcel_Calculation_Statistical::MAX ( )
static

Definition at line 2129 of file Statistical.php.

2129 {
2130 // Return value
2131 $returnValue = null;
2132
2133 // Loop through arguments
2134 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
2135 foreach ($aArgs as $arg) {
2136 // Is it a numeric value?
2137 if ((is_numeric($arg)) && (!is_string($arg))) {
2138 if ((is_null($returnValue)) || ($arg > $returnValue)) {
2139 $returnValue = $arg;
2140 }
2141 }
2142 }
2143
2144 // Return
2145 if(is_null($returnValue)) {
2146 return 0;
2147 }
2148 return $returnValue;
2149 } // function MAX()

References PHPExcel_Calculation_Functions\flattenArray().

Referenced by PHPExcel_Calculation_Database\DMAX(), and PHPExcel_Calculation_MathTrig\SUBTOTAL().

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◆ MAXA()

static PHPExcel_Calculation_Statistical::MAXA ( )
static

Definition at line 2165 of file Statistical.php.

2165 {
2166 // Return value
2167 $returnValue = null;
2168
2169 // Loop through arguments
2170 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
2171 foreach ($aArgs as $arg) {
2172 // Is it a numeric value?
2173 if ((is_numeric($arg)) || (is_bool($arg)) || ((is_string($arg) && ($arg != '')))) {
2174 if (is_bool($arg)) {
2175 $arg = (integer) $arg;
2176 } elseif (is_string($arg)) {
2177 $arg = 0;
2178 }
2179 if ((is_null($returnValue)) || ($arg > $returnValue)) {
2180 $returnValue = $arg;
2181 }
2182 }
2183 }
2184
2185 // Return
2186 if(is_null($returnValue)) {
2187 return 0;
2188 }
2189 return $returnValue;
2190 } // function MAXA()

References PHPExcel_Calculation_Functions\flattenArray().

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◆ MAXIF()

static PHPExcel_Calculation_Statistical::MAXIF (   $aArgs,
  $condition,
  $sumArgs = array() 
)
static

Definition at line 2207 of file Statistical.php.

2207 {
2208 // Return value
2209 $returnValue = null;
2210
2211 $aArgs = PHPExcel_Calculation_Functions::flattenArray($aArgs);
2212 $sumArgs = PHPExcel_Calculation_Functions::flattenArray($sumArgs);
2213 if (empty($sumArgs)) {
2214 $sumArgs = $aArgs;
2215 }
2216 $condition = PHPExcel_Calculation_Functions::_ifCondition($condition);
2217 // Loop through arguments
2218 foreach ($aArgs as $key => $arg) {
2219 if (!is_numeric($arg)) { $arg = PHPExcel_Calculation::_wrapResult(strtoupper($arg)); }
2220 $testCondition = '='.$arg.$condition;
2221 if (PHPExcel_Calculation::getInstance()->_calculateFormulaValue($testCondition)) {
2222 if ((is_null($returnValue)) || ($arg > $returnValue)) {
2223 $returnValue = $arg;
2224 }
2225 }
2226 }
2227
2228 // Return
2229 return $returnValue;
2230 } // function MAXIF()

References $key, PHPExcel_Calculation_Functions\_ifCondition(), PHPExcel_Calculation\_wrapResult(), PHPExcel_Calculation_Functions\flattenArray(), and PHPExcel_Calculation\getInstance().

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◆ MEDIAN()

static PHPExcel_Calculation_Statistical::MEDIAN ( )
static

Definition at line 2246 of file Statistical.php.

2246 {
2247 // Return value
2248 $returnValue = PHPExcel_Calculation_Functions::NaN();
2249
2250 $mArgs = array();
2251 // Loop through arguments
2252 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
2253 foreach ($aArgs as $arg) {
2254 // Is it a numeric value?
2255 if ((is_numeric($arg)) && (!is_string($arg))) {
2256 $mArgs[] = $arg;
2257 }
2258 }
2259
2260 $mValueCount = count($mArgs);
2261 if ($mValueCount > 0) {
2262 sort($mArgs,SORT_NUMERIC);
2263 $mValueCount = $mValueCount / 2;
2264 if ($mValueCount == floor($mValueCount)) {
2265 $returnValue = ($mArgs[$mValueCount--] + $mArgs[$mValueCount]) / 2;
2266 } else {
2267 $mValueCount == floor($mValueCount);
2268 $returnValue = $mArgs[$mValueCount];
2269 }
2270 }
2271
2272 // Return
2273 return $returnValue;
2274 } // function MEDIAN()

References PHPExcel_Calculation_Functions\flattenArray(), and PHPExcel_Calculation_Functions\NaN().

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◆ MIN()

static PHPExcel_Calculation_Statistical::MIN ( )
static

Definition at line 2291 of file Statistical.php.

2291 {
2292 // Return value
2293 $returnValue = null;
2294
2295 // Loop through arguments
2296 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
2297 foreach ($aArgs as $arg) {
2298 // Is it a numeric value?
2299 if ((is_numeric($arg)) && (!is_string($arg))) {
2300 if ((is_null($returnValue)) || ($arg < $returnValue)) {
2301 $returnValue = $arg;
2302 }
2303 }
2304 }
2305
2306 // Return
2307 if(is_null($returnValue)) {
2308 return 0;
2309 }
2310 return $returnValue;
2311 } // function MIN()

References PHPExcel_Calculation_Functions\flattenArray().

Referenced by PHPExcel_Calculation_Database\DMIN(), and PHPExcel_Calculation_MathTrig\SUBTOTAL().

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◆ MINA()

static PHPExcel_Calculation_Statistical::MINA ( )
static

Definition at line 2327 of file Statistical.php.

2327 {
2328 // Return value
2329 $returnValue = null;
2330
2331 // Loop through arguments
2332 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
2333 foreach ($aArgs as $arg) {
2334 // Is it a numeric value?
2335 if ((is_numeric($arg)) || (is_bool($arg)) || ((is_string($arg) && ($arg != '')))) {
2336 if (is_bool($arg)) {
2337 $arg = (integer) $arg;
2338 } elseif (is_string($arg)) {
2339 $arg = 0;
2340 }
2341 if ((is_null($returnValue)) || ($arg < $returnValue)) {
2342 $returnValue = $arg;
2343 }
2344 }
2345 }
2346
2347 // Return
2348 if(is_null($returnValue)) {
2349 return 0;
2350 }
2351 return $returnValue;
2352 } // function MINA()

References PHPExcel_Calculation_Functions\flattenArray().

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◆ MINIF()

static PHPExcel_Calculation_Statistical::MINIF (   $aArgs,
  $condition,
  $sumArgs = array() 
)
static

Definition at line 2369 of file Statistical.php.

2369 {
2370 // Return value
2371 $returnValue = null;
2372
2373 $aArgs = PHPExcel_Calculation_Functions::flattenArray($aArgs);
2374 $sumArgs = PHPExcel_Calculation_Functions::flattenArray($sumArgs);
2375 if (empty($sumArgs)) {
2376 $sumArgs = $aArgs;
2377 }
2378 $condition = PHPExcel_Calculation_Functions::_ifCondition($condition);
2379 // Loop through arguments
2380 foreach ($aArgs as $key => $arg) {
2381 if (!is_numeric($arg)) { $arg = PHPExcel_Calculation::_wrapResult(strtoupper($arg)); }
2382 $testCondition = '='.$arg.$condition;
2383 if (PHPExcel_Calculation::getInstance()->_calculateFormulaValue($testCondition)) {
2384 if ((is_null($returnValue)) || ($arg < $returnValue)) {
2385 $returnValue = $arg;
2386 }
2387 }
2388 }
2389
2390 // Return
2391 return $returnValue;
2392 } // function MINIF()

References $key, PHPExcel_Calculation_Functions\_ifCondition(), PHPExcel_Calculation\_wrapResult(), PHPExcel_Calculation_Functions\flattenArray(), and PHPExcel_Calculation\getInstance().

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◆ MODE()

static PHPExcel_Calculation_Statistical::MODE ( )
static

Definition at line 2442 of file Statistical.php.

2442 {
2443 // Return value
2444 $returnValue = PHPExcel_Calculation_Functions::NA();
2445
2446 // Loop through arguments
2447 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
2448
2449 $mArgs = array();
2450 foreach ($aArgs as $arg) {
2451 // Is it a numeric value?
2452 if ((is_numeric($arg)) && (!is_string($arg))) {
2453 $mArgs[] = $arg;
2454 }
2455 }
2456
2457 if (!empty($mArgs)) {
2458 return self::_modeCalc($mArgs);
2459 }
2460
2461 // Return
2462 return $returnValue;
2463 } // function MODE()
PHPExcel_Calculation_Statistical\_modeCalc
static _modeCalc($data)
Definition: Statistical.php:2399

References _modeCalc(), PHPExcel_Calculation_Functions\flattenArray(), and PHPExcel_Calculation_Functions\NA().

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◆ NEGBINOMDIST()

static PHPExcel_Calculation_Statistical::NEGBINOMDIST (   $failures,
  $successes,
  $probability 
)
static

NEGBINOMDIST.

Returns the negative binomial distribution. NEGBINOMDIST returns the probability that there will be number_f failures before the number_s-th success, when the constant probability of a success is probability_s. This function is similar to the binomial distribution, except that the number of successes is fixed, and the number of trials is variable. Like the binomial, trials are assumed to be independent.

Parameters
float$failuresNumber of Failures
float$successesThreshold number of Successes
float$probabilityProbability of success on each trial
Returns
float

Definition at line 2481 of file Statistical.php.

2481 {
2482 $failures = floor(PHPExcel_Calculation_Functions::flattenSingleValue($failures));
2483 $successes = floor(PHPExcel_Calculation_Functions::flattenSingleValue($successes));
2484 $probability = PHPExcel_Calculation_Functions::flattenSingleValue($probability);
2485
2486 if ((is_numeric($failures)) && (is_numeric($successes)) && (is_numeric($probability))) {
2487 if (($failures < 0) || ($successes < 1)) {
2488 return PHPExcel_Calculation_Functions::NaN();
2489 }
2490 if (($probability < 0) || ($probability > 1)) {
2491 return PHPExcel_Calculation_Functions::NaN();
2492 }
2493 if (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_GNUMERIC) {
2494 if (($failures + $successes - 1) <= 0) {
2495 return PHPExcel_Calculation_Functions::NaN();
2496 }
2497 }
2498 return (PHPExcel_Calculation_MathTrig::COMBIN($failures + $successes - 1,$successes - 1)) * (pow($probability,$successes)) * (pow(1 - $probability,$failures)) ;
2499 }
2500 return PHPExcel_Calculation_Functions::VALUE();
2501 } // function NEGBINOMDIST()

References PHPExcel_Calculation_MathTrig\COMBIN(), PHPExcel_Calculation_Functions\COMPATIBILITY_GNUMERIC, PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\getCompatibilityMode(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

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◆ NORMDIST()

static PHPExcel_Calculation_Statistical::NORMDIST (   $value,
  $mean,
  $stdDev,
  $cumulative 
)
static

NORMDIST.

Returns the normal distribution for the specified mean and standard deviation. This function has a very wide range of applications in statistics, including hypothesis testing.

Parameters
float$value
float$meanMean Value
float$stdDevStandard Deviation
boolean$cumulative
Returns
float

Definition at line 2518 of file Statistical.php.

2518 {
2519 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
2520 $mean = PHPExcel_Calculation_Functions::flattenSingleValue($mean);
2521 $stdDev = PHPExcel_Calculation_Functions::flattenSingleValue($stdDev);
2522
2523 if ((is_numeric($value)) && (is_numeric($mean)) && (is_numeric($stdDev))) {
2524 if ($stdDev < 0) {
2525 return PHPExcel_Calculation_Functions::NaN();
2526 }
2527 if ((is_numeric($cumulative)) || (is_bool($cumulative))) {
2528 if ($cumulative) {
2529 return 0.5 * (1 + PHPExcel_Calculation_Engineering::_erfVal(($value - $mean) / ($stdDev * sqrt(2))));
2530 } else {
2531 return (1 / (SQRT2PI * $stdDev)) * exp(0 - (pow($value - $mean,2) / (2 * ($stdDev * $stdDev))));
2532 }
2533 }
2534 }
2535 return PHPExcel_Calculation_Functions::VALUE();
2536 } // function NORMDIST()
PHPExcel_Calculation_Engineering\_erfVal
static _erfVal($x)
Definition: Engineering.php:2228

References PHPExcel_Calculation_Engineering\_erfVal(), PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), SQRT2PI, and PHPExcel_Calculation_Functions\VALUE().

Referenced by NORMSDIST().

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◆ NORMINV()

static PHPExcel_Calculation_Statistical::NORMINV (   $probability,
  $mean,
  $stdDev 
)
static

NORMINV.

Returns the inverse of the normal cumulative distribution for the specified mean and standard deviation.

Parameters
float$value
float$meanMean Value
float$stdDevStandard Deviation
Returns
float

Definition at line 2550 of file Statistical.php.

2550 {
2551 $probability = PHPExcel_Calculation_Functions::flattenSingleValue($probability);
2552 $mean = PHPExcel_Calculation_Functions::flattenSingleValue($mean);
2553 $stdDev = PHPExcel_Calculation_Functions::flattenSingleValue($stdDev);
2554
2555 if ((is_numeric($probability)) && (is_numeric($mean)) && (is_numeric($stdDev))) {
2556 if (($probability < 0) || ($probability > 1)) {
2557 return PHPExcel_Calculation_Functions::NaN();
2558 }
2559 if ($stdDev < 0) {
2560 return PHPExcel_Calculation_Functions::NaN();
2561 }
2562 return (self::_inverse_ncdf($probability) * $stdDev) + $mean;
2563 }
2564 return PHPExcel_Calculation_Functions::VALUE();
2565 } // function NORMINV()

References PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

Referenced by NORMSINV().

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◆ NORMSDIST()

static PHPExcel_Calculation_Statistical::NORMSDIST (   $value)
static

NORMSDIST.

Returns the standard normal cumulative distribution function. The distribution has a mean of 0 (zero) and a standard deviation of one. Use this function in place of a table of standard normal curve areas.

Parameters
float$value
Returns
float

Definition at line 2578 of file Statistical.php.

2578 {
2579 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
2580
2581 return self::NORMDIST($value, 0, 1, True);
2582 } // function NORMSDIST()
PHPExcel_Calculation_Statistical\NORMDIST
static NORMDIST($value, $mean, $stdDev, $cumulative)
NORMDIST.
Definition: Statistical.php:2518

References PHPExcel_Calculation_Functions\flattenSingleValue(), and NORMDIST().

Referenced by LOGNORMDIST(), and ZTEST().

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◆ NORMSINV()

static PHPExcel_Calculation_Statistical::NORMSINV (   $value)
static

NORMSINV.

Returns the inverse of the standard normal cumulative distribution

Parameters
float$value
Returns
float

Definition at line 2593 of file Statistical.php.

2593 {
2594 return self::NORMINV($value, 0, 1);
2595 } // function NORMSINV()
PHPExcel_Calculation_Statistical\NORMINV
static NORMINV($probability, $mean, $stdDev)
NORMINV.
Definition: Statistical.php:2550

References NORMINV().

Referenced by CONFIDENCE().

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◆ PERCENTILE()

static PHPExcel_Calculation_Statistical::PERCENTILE ( )
static

Definition at line 2612 of file Statistical.php.

2612 {
2613 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
2614
2615 // Calculate
2616 $entry = array_pop($aArgs);
2617
2618 if ((is_numeric($entry)) && (!is_string($entry))) {
2619 if (($entry < 0) || ($entry > 1)) {
2620 return PHPExcel_Calculation_Functions::NaN();
2621 }
2622 $mArgs = array();
2623 foreach ($aArgs as $arg) {
2624 // Is it a numeric value?
2625 if ((is_numeric($arg)) && (!is_string($arg))) {
2626 $mArgs[] = $arg;
2627 }
2628 }
2629 $mValueCount = count($mArgs);
2630 if ($mValueCount > 0) {
2631 sort($mArgs);
2632 $count = self::COUNT($mArgs);
2633 $index = $entry * ($count-1);
2634 $iBase = floor($index);
2635 if ($index == $iBase) {
2636 return $mArgs[$index];
2637 } else {
2638 $iNext = $iBase + 1;
2639 $iProportion = $index - $iBase;
2640 return $mArgs[$iBase] + (($mArgs[$iNext] - $mArgs[$iBase]) * $iProportion) ;
2641 }
2642 }
2643 }
2644 return PHPExcel_Calculation_Functions::VALUE();
2645 } // function PERCENTILE()
$index
$index
Definition: metadata.php:60

References $index, COUNT(), PHPExcel_Calculation_Functions\flattenArray(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

Referenced by QUARTILE().

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◆ PERCENTRANK()

static PHPExcel_Calculation_Statistical::PERCENTRANK (   $valueSet,
  $value,
  $significance = 3 
)
static

PERCENTRANK.

Returns the rank of a value in a data set as a percentage of the data set.

Parameters
arrayof number An array of, or a reference to, a list of numbers.
numberThe number whose rank you want to find.
numberThe number of significant digits for the returned percentage value.
Returns
float

Definition at line 2658 of file Statistical.php.

2658 {
2659 $valueSet = PHPExcel_Calculation_Functions::flattenArray($valueSet);
2660 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
2661 $significance = (is_null($significance)) ? 3 : (integer) PHPExcel_Calculation_Functions::flattenSingleValue($significance);
2662
2663 foreach($valueSet as $key => $valueEntry) {
2664 if (!is_numeric($valueEntry)) {
2665 unset($valueSet[$key]);
2666 }
2667 }
2668 sort($valueSet,SORT_NUMERIC);
2669 $valueCount = count($valueSet);
2670 if ($valueCount == 0) {
2671 return PHPExcel_Calculation_Functions::NaN();
2672 }
2673
2674 $valueAdjustor = $valueCount - 1;
2675 if (($value < $valueSet[0]) || ($value > $valueSet[$valueAdjustor])) {
2676 return PHPExcel_Calculation_Functions::NA();
2677 }
2678
2679 $pos = array_search($value,$valueSet);
2680 if ($pos === False) {
2681 $pos = 0;
2682 $testValue = $valueSet[0];
2683 while ($testValue < $value) {
2684 $testValue = $valueSet[++$pos];
2685 }
2686 --$pos;
2687 $pos += (($value - $valueSet[$pos]) / ($testValue - $valueSet[$pos]));
2688 }
2689
2690 return round($pos / $valueAdjustor,$significance);
2691 } // function PERCENTRANK()

References $key, PHPExcel_Calculation_Functions\flattenArray(), PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NA(), and PHPExcel_Calculation_Functions\NaN().

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◆ PERMUT()

static PHPExcel_Calculation_Statistical::PERMUT (   $numObjs,
  $numInSet 
)
static

PERMUT.

Returns the number of permutations for a given number of objects that can be selected from number objects. A permutation is any set or subset of objects or events where internal order is significant. Permutations are different from combinations, for which the internal order is not significant. Use this function for lottery-style probability calculations.

Parameters
int$numObjsNumber of different objects
int$numInSetNumber of objects in each permutation
Returns
int Number of permutations

Definition at line 2707 of file Statistical.php.

2707 {
2708 $numObjs = PHPExcel_Calculation_Functions::flattenSingleValue($numObjs);
2709 $numInSet = PHPExcel_Calculation_Functions::flattenSingleValue($numInSet);
2710
2711 if ((is_numeric($numObjs)) && (is_numeric($numInSet))) {
2712 $numInSet = floor($numInSet);
2713 if ($numObjs < $numInSet) {
2714 return PHPExcel_Calculation_Functions::NaN();
2715 }
2716 return round(PHPExcel_Calculation_MathTrig::FACT($numObjs) / PHPExcel_Calculation_MathTrig::FACT($numObjs - $numInSet));
2717 }
2718 return PHPExcel_Calculation_Functions::VALUE();
2719 } // function PERMUT()
PHPExcel_Calculation_MathTrig\FACT
static FACT($factVal)
Definition: MathTrig.php:240

References PHPExcel_Calculation_MathTrig\FACT(), PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

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◆ POISSON()

static PHPExcel_Calculation_Statistical::POISSON (   $value,
  $mean,
  $cumulative 
)
static

POISSON.

Returns the Poisson distribution. A common application of the Poisson distribution is predicting the number of events over a specific time, such as the number of cars arriving at a toll plaza in 1 minute.

Parameters
float$value
float$meanMean Value
boolean$cumulative
Returns
float

Definition at line 2735 of file Statistical.php.

2735 {
2736 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
2737 $mean = PHPExcel_Calculation_Functions::flattenSingleValue($mean);
2738
2739 if ((is_numeric($value)) && (is_numeric($mean))) {
2740 if (($value < 0) || ($mean <= 0)) {
2741 return PHPExcel_Calculation_Functions::NaN();
2742 }
2743 if ((is_numeric($cumulative)) || (is_bool($cumulative))) {
2744 if ($cumulative) {
2745 $summer = 0;
2746 for ($i = 0; $i <= floor($value); ++$i) {
2747 $summer += pow($mean,$i) / PHPExcel_Calculation_MathTrig::FACT($i);
2748 }
2749 return exp(0-$mean) * $summer;
2750 } else {
2751 return (exp(0-$mean) * pow($mean,$value)) / PHPExcel_Calculation_MathTrig::FACT($value);
2752 }
2753 }
2754 }
2755 return PHPExcel_Calculation_Functions::VALUE();
2756 } // function POISSON()

References $i, PHPExcel_Calculation_MathTrig\FACT(), PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

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◆ QUARTILE()

static PHPExcel_Calculation_Statistical::QUARTILE ( )
static

Definition at line 2773 of file Statistical.php.

2773 {
2774 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
2775
2776 // Calculate
2777 $entry = floor(array_pop($aArgs));
2778
2779 if ((is_numeric($entry)) && (!is_string($entry))) {
2780 $entry /= 4;
2781 if (($entry < 0) || ($entry > 1)) {
2782 return PHPExcel_Calculation_Functions::NaN();
2783 }
2784 return self::PERCENTILE($aArgs,$entry);
2785 }
2786 return PHPExcel_Calculation_Functions::VALUE();
2787 } // function QUARTILE()
PHPExcel_Calculation_Statistical\PERCENTILE
static PERCENTILE()
Definition: Statistical.php:2612

References PHPExcel_Calculation_Functions\flattenArray(), PHPExcel_Calculation_Functions\NaN(), PERCENTILE(), and PHPExcel_Calculation_Functions\VALUE().

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◆ RANK()

static PHPExcel_Calculation_Statistical::RANK (   $value,
  $valueSet,
  $order = 0 
)
static

RANK.

Returns the rank of a number in a list of numbers.

Parameters
numberThe number whose rank you want to find.
arrayof number An array of, or a reference to, a list of numbers.
mixedOrder to sort the values in the value set
Returns
float

Definition at line 2800 of file Statistical.php.

2800 {
2801 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
2802 $valueSet = PHPExcel_Calculation_Functions::flattenArray($valueSet);
2803 $order = (is_null($order)) ? 0 : (integer) PHPExcel_Calculation_Functions::flattenSingleValue($order);
2804
2805 foreach($valueSet as $key => $valueEntry) {
2806 if (!is_numeric($valueEntry)) {
2807 unset($valueSet[$key]);
2808 }
2809 }
2810
2811 if ($order == 0) {
2812 rsort($valueSet,SORT_NUMERIC);
2813 } else {
2814 sort($valueSet,SORT_NUMERIC);
2815 }
2816 $pos = array_search($value,$valueSet);
2817 if ($pos === False) {
2818 return PHPExcel_Calculation_Functions::NA();
2819 }
2820
2821 return ++$pos;
2822 } // function RANK()

References $key, PHPExcel_Calculation_Functions\flattenArray(), PHPExcel_Calculation_Functions\flattenSingleValue(), and PHPExcel_Calculation_Functions\NA().

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◆ RSQ()

static PHPExcel_Calculation_Statistical::RSQ (   $yValues,
  $xValues 
)
static

RSQ.

Returns the square of the Pearson product moment correlation coefficient through data points in known_y's and known_x's.

Parameters
arrayof mixed Data Series Y
arrayof mixed Data Series X
Returns
float

Definition at line 2834 of file Statistical.php.

2834 {
2835 if (!self::_checkTrendArrays($yValues,$xValues)) {
2836 return PHPExcel_Calculation_Functions::VALUE();
2837 }
2838 $yValueCount = count($yValues);
2839 $xValueCount = count($xValues);
2840
2841 if (($yValueCount == 0) || ($yValueCount != $xValueCount)) {
2842 return PHPExcel_Calculation_Functions::NA();
2843 } elseif ($yValueCount == 1) {
2844 return PHPExcel_Calculation_Functions::DIV0();
2845 }
2846
2847 $bestFitLinear = trendClass::calculate(trendClass::TREND_LINEAR,$yValues,$xValues);
2848 return $bestFitLinear->getGoodnessOfFit();
2849 } // function RSQ()

References trendClass\calculate(), PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\NA(), trendClass\TREND_LINEAR, and PHPExcel_Calculation_Functions\VALUE().

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◆ SKEW()

static PHPExcel_Calculation_Statistical::SKEW ( )
static

SKEW.

Returns the skewness of a distribution. Skewness characterizes the degree of asymmetry of a distribution around its mean. Positive skewness indicates a distribution with an asymmetric tail extending toward more positive values. Negative skewness indicates a distribution with an asymmetric tail extending toward more negative values.

Parameters
arrayData Series
Returns
float

Definition at line 2863 of file Statistical.php.

2863 {
2864 $aArgs = PHPExcel_Calculation_Functions::flattenArrayIndexed(func_get_args());
2865 $mean = self::AVERAGE($aArgs);
2866 $stdDev = self::STDEV($aArgs);
2867
2868 $count = $summer = 0;
2869 // Loop through arguments
2870 foreach ($aArgs as $k => $arg) {
2871 if ((is_bool($arg)) &&
2872 (!PHPExcel_Calculation_Functions::isMatrixValue($k))) {
2873 } else {
2874 // Is it a numeric value?
2875 if ((is_numeric($arg)) && (!is_string($arg))) {
2876 $summer += pow((($arg - $mean) / $stdDev),3) ;
2877 ++$count;
2878 }
2879 }
2880 }
2881
2882 // Return
2883 if ($count > 2) {
2884 return $summer * ($count / (($count-1) * ($count-2)));
2885 }
2886 return PHPExcel_Calculation_Functions::DIV0();
2887 } // function SKEW()

References AVERAGE(), PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\flattenArrayIndexed(), PHPExcel_Calculation_Functions\isMatrixValue(), and STDEV().

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◆ SLOPE()

static PHPExcel_Calculation_Statistical::SLOPE (   $yValues,
  $xValues 
)
static

SLOPE.

Returns the slope of the linear regression line through data points in known_y's and known_x's.

Parameters
arrayof mixed Data Series Y
arrayof mixed Data Series X
Returns
float

Definition at line 2899 of file Statistical.php.

2899 {
2900 if (!self::_checkTrendArrays($yValues,$xValues)) {
2901 return PHPExcel_Calculation_Functions::VALUE();
2902 }
2903 $yValueCount = count($yValues);
2904 $xValueCount = count($xValues);
2905
2906 if (($yValueCount == 0) || ($yValueCount != $xValueCount)) {
2907 return PHPExcel_Calculation_Functions::NA();
2908 } elseif ($yValueCount == 1) {
2909 return PHPExcel_Calculation_Functions::DIV0();
2910 }
2911
2912 $bestFitLinear = trendClass::calculate(trendClass::TREND_LINEAR,$yValues,$xValues);
2913 return $bestFitLinear->getSlope();
2914 } // function SLOPE()

References trendClass\calculate(), PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\NA(), trendClass\TREND_LINEAR, and PHPExcel_Calculation_Functions\VALUE().

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◆ SMALL()

static PHPExcel_Calculation_Statistical::SMALL ( )
static

Definition at line 2932 of file Statistical.php.

2932 {
2933 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
2934
2935 // Calculate
2936 $entry = array_pop($aArgs);
2937
2938 if ((is_numeric($entry)) && (!is_string($entry))) {
2939 $mArgs = array();
2940 foreach ($aArgs as $arg) {
2941 // Is it a numeric value?
2942 if ((is_numeric($arg)) && (!is_string($arg))) {
2943 $mArgs[] = $arg;
2944 }
2945 }
2946 $count = self::COUNT($mArgs);
2947 $entry = floor(--$entry);
2948 if (($entry < 0) || ($entry >= $count) || ($count == 0)) {
2949 return PHPExcel_Calculation_Functions::NaN();
2950 }
2951 sort($mArgs);
2952 return $mArgs[$entry];
2953 }
2954 return PHPExcel_Calculation_Functions::VALUE();
2955 } // function SMALL()

References COUNT(), PHPExcel_Calculation_Functions\flattenArray(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

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◆ STANDARDIZE()

static PHPExcel_Calculation_Statistical::STANDARDIZE (   $value,
  $mean,
  $stdDev 
)
static

STANDARDIZE.

Returns a normalized value from a distribution characterized by mean and standard_dev.

Parameters
float$valueValue to normalize
float$meanMean Value
float$stdDevStandard Deviation
Returns
float Standardized value

Definition at line 2968 of file Statistical.php.

2968 {
2969 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
2970 $mean = PHPExcel_Calculation_Functions::flattenSingleValue($mean);
2971 $stdDev = PHPExcel_Calculation_Functions::flattenSingleValue($stdDev);
2972
2973 if ((is_numeric($value)) && (is_numeric($mean)) && (is_numeric($stdDev))) {
2974 if ($stdDev <= 0) {
2975 return PHPExcel_Calculation_Functions::NaN();
2976 }
2977 return ($value - $mean) / $stdDev ;
2978 }
2979 return PHPExcel_Calculation_Functions::VALUE();
2980 } // function STANDARDIZE()

References PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

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◆ STDEV()

static PHPExcel_Calculation_Statistical::STDEV ( )
static

Definition at line 2997 of file Statistical.php.

2997 {
2998 $aArgs = PHPExcel_Calculation_Functions::flattenArrayIndexed(func_get_args());
2999
3000 // Return value
3001 $returnValue = null;
3002
3003 $aMean = self::AVERAGE($aArgs);
3004 if (!is_null($aMean)) {
3005 $aCount = -1;
3006 foreach ($aArgs as $k => $arg) {
3007 if ((is_bool($arg)) &&
3008 ((!PHPExcel_Calculation_Functions::isCellValue($k)) || (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE))) {
3009 $arg = (integer) $arg;
3010 }
3011 // Is it a numeric value?
3012 if ((is_numeric($arg)) && (!is_string($arg))) {
3013 if (is_null($returnValue)) {
3014 $returnValue = pow(($arg - $aMean),2);
3015 } else {
3016 $returnValue += pow(($arg - $aMean),2);
3017 }
3018 ++$aCount;
3019 }
3020 }
3021
3022 // Return
3023 if (($aCount > 0) && ($returnValue >= 0)) {
3024 return sqrt($returnValue / $aCount);
3025 }
3026 }
3027 return PHPExcel_Calculation_Functions::DIV0();
3028 } // function STDEV()

References AVERAGE(), PHPExcel_Calculation_Functions\COMPATIBILITY_OPENOFFICE, PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\flattenArrayIndexed(), PHPExcel_Calculation_Functions\getCompatibilityMode(), and PHPExcel_Calculation_Functions\isCellValue().

Referenced by PHPExcel_Calculation_Database\DSTDEV(), KURT(), SKEW(), PHPExcel_Calculation_MathTrig\SUBTOTAL(), and ZTEST().

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◆ STDEVA()

static PHPExcel_Calculation_Statistical::STDEVA ( )
static

Definition at line 3044 of file Statistical.php.

3044 {
3045 $aArgs = PHPExcel_Calculation_Functions::flattenArrayIndexed(func_get_args());
3046
3047 // Return value
3048 $returnValue = null;
3049
3050 $aMean = self::AVERAGEA($aArgs);
3051 if (!is_null($aMean)) {
3052 $aCount = -1;
3053 foreach ($aArgs as $k => $arg) {
3054 if ((is_bool($arg)) &&
3055 (!PHPExcel_Calculation_Functions::isMatrixValue($k))) {
3056 } else {
3057 // Is it a numeric value?
3058 if ((is_numeric($arg)) || (is_bool($arg)) || ((is_string($arg) & ($arg != '')))) {
3059 if (is_bool($arg)) {
3060 $arg = (integer) $arg;
3061 } elseif (is_string($arg)) {
3062 $arg = 0;
3063 }
3064 if (is_null($returnValue)) {
3065 $returnValue = pow(($arg - $aMean),2);
3066 } else {
3067 $returnValue += pow(($arg - $aMean),2);
3068 }
3069 ++$aCount;
3070 }
3071 }
3072 }
3073
3074 // Return
3075 if (($aCount > 0) && ($returnValue >= 0)) {
3076 return sqrt($returnValue / $aCount);
3077 }
3078 }
3079 return PHPExcel_Calculation_Functions::DIV0();
3080 } // function STDEVA()
PHPExcel_Calculation_Statistical\AVERAGEA
static AVERAGEA()
Definition: Statistical.php:790

References AVERAGEA(), PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\flattenArrayIndexed(), and PHPExcel_Calculation_Functions\isMatrixValue().

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◆ STDEVP()

static PHPExcel_Calculation_Statistical::STDEVP ( )
static

Definition at line 3096 of file Statistical.php.

3096 {
3097 $aArgs = PHPExcel_Calculation_Functions::flattenArrayIndexed(func_get_args());
3098
3099 // Return value
3100 $returnValue = null;
3101
3102 $aMean = self::AVERAGE($aArgs);
3103 if (!is_null($aMean)) {
3104 $aCount = 0;
3105 foreach ($aArgs as $k => $arg) {
3106 if ((is_bool($arg)) &&
3107 ((!PHPExcel_Calculation_Functions::isCellValue($k)) || (PHPExcel_Calculation_Functions::getCompatibilityMode() == PHPExcel_Calculation_Functions::COMPATIBILITY_OPENOFFICE))) {
3108 $arg = (integer) $arg;
3109 }
3110 // Is it a numeric value?
3111 if ((is_numeric($arg)) && (!is_string($arg))) {
3112 if (is_null($returnValue)) {
3113 $returnValue = pow(($arg - $aMean),2);
3114 } else {
3115 $returnValue += pow(($arg - $aMean),2);
3116 }
3117 ++$aCount;
3118 }
3119 }
3120
3121 // Return
3122 if (($aCount > 0) && ($returnValue >= 0)) {
3123 return sqrt($returnValue / $aCount);
3124 }
3125 }
3126 return PHPExcel_Calculation_Functions::DIV0();
3127 } // function STDEVP()

References AVERAGE(), PHPExcel_Calculation_Functions\COMPATIBILITY_OPENOFFICE, PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\flattenArrayIndexed(), PHPExcel_Calculation_Functions\getCompatibilityMode(), and PHPExcel_Calculation_Functions\isCellValue().

Referenced by PHPExcel_Calculation_Database\DSTDEVP(), and PHPExcel_Calculation_MathTrig\SUBTOTAL().

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◆ STDEVPA()

static PHPExcel_Calculation_Statistical::STDEVPA ( )
static

Definition at line 3143 of file Statistical.php.

3143 {
3144 $aArgs = PHPExcel_Calculation_Functions::flattenArrayIndexed(func_get_args());
3145
3146 // Return value
3147 $returnValue = null;
3148
3149 $aMean = self::AVERAGEA($aArgs);
3150 if (!is_null($aMean)) {
3151 $aCount = 0;
3152 foreach ($aArgs as $k => $arg) {
3153 if ((is_bool($arg)) &&
3154 (!PHPExcel_Calculation_Functions::isMatrixValue($k))) {
3155 } else {
3156 // Is it a numeric value?
3157 if ((is_numeric($arg)) || (is_bool($arg)) || ((is_string($arg) & ($arg != '')))) {
3158 if (is_bool($arg)) {
3159 $arg = (integer) $arg;
3160 } elseif (is_string($arg)) {
3161 $arg = 0;
3162 }
3163 if (is_null($returnValue)) {
3164 $returnValue = pow(($arg - $aMean),2);
3165 } else {
3166 $returnValue += pow(($arg - $aMean),2);
3167 }
3168 ++$aCount;
3169 }
3170 }
3171 }
3172
3173 // Return
3174 if (($aCount > 0) && ($returnValue >= 0)) {
3175 return sqrt($returnValue / $aCount);
3176 }
3177 }
3178 return PHPExcel_Calculation_Functions::DIV0();
3179 } // function STDEVPA()

References AVERAGEA(), PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\flattenArrayIndexed(), and PHPExcel_Calculation_Functions\isMatrixValue().

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◆ STEYX()

static PHPExcel_Calculation_Statistical::STEYX (   $yValues,
  $xValues 
)
static

STEYX.

Returns the standard error of the predicted y-value for each x in the regression.

Parameters
arrayof mixed Data Series Y
arrayof mixed Data Series X
Returns
float

Definition at line 3191 of file Statistical.php.

3191 {
3192 if (!self::_checkTrendArrays($yValues,$xValues)) {
3193 return PHPExcel_Calculation_Functions::VALUE();
3194 }
3195 $yValueCount = count($yValues);
3196 $xValueCount = count($xValues);
3197
3198 if (($yValueCount == 0) || ($yValueCount != $xValueCount)) {
3199 return PHPExcel_Calculation_Functions::NA();
3200 } elseif ($yValueCount == 1) {
3201 return PHPExcel_Calculation_Functions::DIV0();
3202 }
3203
3204 $bestFitLinear = trendClass::calculate(trendClass::TREND_LINEAR,$yValues,$xValues);
3205 return $bestFitLinear->getStdevOfResiduals();
3206 } // function STEYX()

References trendClass\calculate(), PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\NA(), trendClass\TREND_LINEAR, and PHPExcel_Calculation_Functions\VALUE().

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◆ TDIST()

static PHPExcel_Calculation_Statistical::TDIST (   $value,
  $degrees,
  $tails 
)
static

TDIST.

Returns the probability of Student's T distribution.

Parameters
float$valueValue for the function
float$degreesdegrees of freedom
float$tailsnumber of tails (1 or 2)
Returns
float

Definition at line 3219 of file Statistical.php.

3219 {
3220 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
3221 $degrees = floor(PHPExcel_Calculation_Functions::flattenSingleValue($degrees));
3222 $tails = floor(PHPExcel_Calculation_Functions::flattenSingleValue($tails));
3223
3224 if ((is_numeric($value)) && (is_numeric($degrees)) && (is_numeric($tails))) {
3225 if (($value < 0) || ($degrees < 1) || ($tails < 1) || ($tails > 2)) {
3226 return PHPExcel_Calculation_Functions::NaN();
3227 }
3228 // tdist, which finds the probability that corresponds to a given value
3229 // of t with k degrees of freedom. This algorithm is translated from a
3230 // pascal function on p81 of "Statistical Computing in Pascal" by D
3231 // Cooke, A H Craven & G M Clark (1985: Edward Arnold (Pubs.) Ltd:
3232 // London). The above Pascal algorithm is itself a translation of the
3233 // fortran algoritm "AS 3" by B E Cooper of the Atlas Computer
3234 // Laboratory as reported in (among other places) "Applied Statistics
3235 // Algorithms", editied by P Griffiths and I D Hill (1985; Ellis
3236 // Horwood Ltd.; W. Sussex, England).
3237 $tterm = $degrees;
3238 $ttheta = atan2($value,sqrt($tterm));
3239 $tc = cos($ttheta);
3240 $ts = sin($ttheta);
3241 $tsum = 0;
3242
3243 if (($degrees % 2) == 1) {
3244 $ti = 3;
3245 $tterm = $tc;
3246 } else {
3247 $ti = 2;
3248 $tterm = 1;
3249 }
3250
3251 $tsum = $tterm;
3252 while ($ti < $degrees) {
3253 $tterm *= $tc * $tc * ($ti - 1) / $ti;
3254 $tsum += $tterm;
3255 $ti += 2;
3256 }
3257 $tsum *= $ts;
3258 if (($degrees % 2) == 1) { $tsum = M_2DIVPI * ($tsum + $ttheta); }
3259 $tValue = 0.5 * (1 + $tsum);
3260 if ($tails == 1) {
3261 return 1 - abs($tValue);
3262 } else {
3263 return 1 - abs((1 - $tValue) - $tValue);
3264 }
3265 }
3266 return PHPExcel_Calculation_Functions::VALUE();
3267 } // function TDIST()
M_2DIVPI
const M_2DIVPI
2 / PI
Definition: Functions.php:43

References PHPExcel_Calculation_Functions\flattenSingleValue(), M_2DIVPI, PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

Referenced by TINV().

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◆ TINV()

static PHPExcel_Calculation_Statistical::TINV (   $probability,
  $degrees 
)
static

TINV.

Returns the one-tailed probability of the chi-squared distribution.

Parameters
float$probabilityProbability for the function
float$degreesdegrees of freedom
Returns
float

Definition at line 3279 of file Statistical.php.

3279 {
3280 $probability = PHPExcel_Calculation_Functions::flattenSingleValue($probability);
3281 $degrees = floor(PHPExcel_Calculation_Functions::flattenSingleValue($degrees));
3282
3283 if ((is_numeric($probability)) && (is_numeric($degrees))) {
3284 $xLo = 100;
3285 $xHi = 0;
3286
3287 $x = $xNew = 1;
3288 $dx = 1;
3289 $i = 0;
3290
3291 while ((abs($dx) > PRECISION) && ($i++ < MAX_ITERATIONS)) {
3292 // Apply Newton-Raphson step
3293 $result = self::TDIST($x, $degrees, 2);
3294 $error = $result - $probability;
3295 if ($error == 0.0) {
3296 $dx = 0;
3297 } elseif ($error < 0.0) {
3298 $xLo = $x;
3299 } else {
3300 $xHi = $x;
3301 }
3302 // Avoid division by zero
3303 if ($result != 0.0) {
3304 $dx = $error / $result;
3305 $xNew = $x - $dx;
3306 }
3307 // If the NR fails to converge (which for example may be the
3308 // case if the initial guess is too rough) we apply a bisection
3309 // step to determine a more narrow interval around the root.
3310 if (($xNew < $xLo) || ($xNew > $xHi) || ($result == 0.0)) {
3311 $xNew = ($xLo + $xHi) / 2;
3312 $dx = $xNew - $x;
3313 }
3314 $x = $xNew;
3315 }
3316 if ($i == MAX_ITERATIONS) {
3317 return PHPExcel_Calculation_Functions::NA();
3318 }
3319 return round($x,12);
3320 }
3321 return PHPExcel_Calculation_Functions::VALUE();
3322 } // function TINV()
PHPExcel_Calculation_Statistical\TDIST
static TDIST($value, $degrees, $tails)
TDIST.
Definition: Statistical.php:3219

References $error, $i, $result, $x, PHPExcel_Calculation_Functions\flattenSingleValue(), MAX_ITERATIONS, PHPExcel_Calculation_Functions\NA(), PRECISION, TDIST(), and PHPExcel_Calculation_Functions\VALUE().

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◆ TREND()

static PHPExcel_Calculation_Statistical::TREND (   $yValues,
  $xValues = array(),
  $newValues = array(),
  $const = True 
)
static

TREND.

Returns values along a linear trend

Parameters
arrayof mixed Data Series Y
arrayof mixed Data Series X
arrayof mixed Values of X for which we want to find Y
booleanA logical value specifying whether to force the intersect to equal 0.
Returns
array of float

Definition at line 3336 of file Statistical.php.

3336 {
3337 $yValues = PHPExcel_Calculation_Functions::flattenArray($yValues);
3338 $xValues = PHPExcel_Calculation_Functions::flattenArray($xValues);
3339 $newValues = PHPExcel_Calculation_Functions::flattenArray($newValues);
3340 $const = (is_null($const)) ? True : (boolean) PHPExcel_Calculation_Functions::flattenSingleValue($const);
3341
3342 $bestFitLinear = trendClass::calculate(trendClass::TREND_LINEAR,$yValues,$xValues,$const);
3343 if (empty($newValues)) {
3344 $newValues = $bestFitLinear->getXValues();
3345 }
3346
3347 $returnArray = array();
3348 foreach($newValues as $xValue) {
3349 $returnArray[0][] = $bestFitLinear->getValueOfYForX($xValue);
3350 }
3351
3352 return $returnArray;
3353 } // function TREND()

References trendClass\calculate(), PHPExcel_Calculation_Functions\flattenArray(), PHPExcel_Calculation_Functions\flattenSingleValue(), and trendClass\TREND_LINEAR.

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◆ TRIMMEAN()

static PHPExcel_Calculation_Statistical::TRIMMEAN ( )
static

Definition at line 3372 of file Statistical.php.

3372 {
3373 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
3374
3375 // Calculate
3376 $percent = array_pop($aArgs);
3377
3378 if ((is_numeric($percent)) && (!is_string($percent))) {
3379 if (($percent < 0) || ($percent > 1)) {
3380 return PHPExcel_Calculation_Functions::NaN();
3381 }
3382 $mArgs = array();
3383 foreach ($aArgs as $arg) {
3384 // Is it a numeric value?
3385 if ((is_numeric($arg)) && (!is_string($arg))) {
3386 $mArgs[] = $arg;
3387 }
3388 }
3389 $discard = floor(self::COUNT($mArgs) * $percent / 2);
3390 sort($mArgs);
3391 for ($i=0; $i < $discard; ++$i) {
3392 array_pop($mArgs);
3393 array_shift($mArgs);
3394 }
3395 return self::AVERAGE($mArgs);
3396 }
3397 return PHPExcel_Calculation_Functions::VALUE();
3398 } // function TRIMMEAN()

References $i, AVERAGE(), PHPExcel_Calculation_Functions\flattenArray(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

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◆ VARA()

static PHPExcel_Calculation_Statistical::VARA ( )
static

Definition at line 3456 of file Statistical.php.

3456 {
3457 // Return value
3458 $returnValue = PHPExcel_Calculation_Functions::DIV0();
3459
3460 $summerA = $summerB = 0;
3461
3462 // Loop through arguments
3463 $aArgs = PHPExcel_Calculation_Functions::flattenArrayIndexed(func_get_args());
3464 $aCount = 0;
3465 foreach ($aArgs as $k => $arg) {
3466 if ((is_string($arg)) &&
3467 (PHPExcel_Calculation_Functions::isValue($k))) {
3468 return PHPExcel_Calculation_Functions::VALUE();
3469 } elseif ((is_string($arg)) &&
3470 (!PHPExcel_Calculation_Functions::isMatrixValue($k))) {
3471 } else {
3472 // Is it a numeric value?
3473 if ((is_numeric($arg)) || (is_bool($arg)) || ((is_string($arg) & ($arg != '')))) {
3474 if (is_bool($arg)) {
3475 $arg = (integer) $arg;
3476 } elseif (is_string($arg)) {
3477 $arg = 0;
3478 }
3479 $summerA += ($arg * $arg);
3480 $summerB += $arg;
3481 ++$aCount;
3482 }
3483 }
3484 }
3485
3486 // Return
3487 if ($aCount > 1) {
3488 $summerA *= $aCount;
3489 $summerB *= $summerB;
3490 $returnValue = ($summerA - $summerB) / ($aCount * ($aCount - 1));
3491 }
3492 return $returnValue;
3493 } // function VARA()
PHPExcel_Calculation_Functions\isValue
static isValue($idx)
Definition: Functions.php:299

References PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\flattenArrayIndexed(), PHPExcel_Calculation_Functions\isMatrixValue(), PHPExcel_Calculation_Functions\isValue(), and PHPExcel_Calculation_Functions\VALUE().

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◆ VARFunc()

static PHPExcel_Calculation_Statistical::VARFunc ( )
static

Definition at line 3414 of file Statistical.php.

3414 {
3415 // Return value
3416 $returnValue = PHPExcel_Calculation_Functions::DIV0();
3417
3418 $summerA = $summerB = 0;
3419
3420 // Loop through arguments
3421 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
3422 $aCount = 0;
3423 foreach ($aArgs as $arg) {
3424 if (is_bool($arg)) { $arg = (integer) $arg; }
3425 // Is it a numeric value?
3426 if ((is_numeric($arg)) && (!is_string($arg))) {
3427 $summerA += ($arg * $arg);
3428 $summerB += $arg;
3429 ++$aCount;
3430 }
3431 }
3432
3433 // Return
3434 if ($aCount > 1) {
3435 $summerA *= $aCount;
3436 $summerB *= $summerB;
3437 $returnValue = ($summerA - $summerB) / ($aCount * ($aCount - 1));
3438 }
3439 return $returnValue;
3440 } // function VARFunc()

References PHPExcel_Calculation_Functions\DIV0(), and PHPExcel_Calculation_Functions\flattenArray().

Referenced by PHPExcel_Calculation_Database\DVAR(), and PHPExcel_Calculation_MathTrig\SUBTOTAL().

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◆ VARP()

static PHPExcel_Calculation_Statistical::VARP ( )
static

Definition at line 3509 of file Statistical.php.

3509 {
3510 // Return value
3511 $returnValue = PHPExcel_Calculation_Functions::DIV0();
3512
3513 $summerA = $summerB = 0;
3514
3515 // Loop through arguments
3516 $aArgs = PHPExcel_Calculation_Functions::flattenArray(func_get_args());
3517 $aCount = 0;
3518 foreach ($aArgs as $arg) {
3519 if (is_bool($arg)) { $arg = (integer) $arg; }
3520 // Is it a numeric value?
3521 if ((is_numeric($arg)) && (!is_string($arg))) {
3522 $summerA += ($arg * $arg);
3523 $summerB += $arg;
3524 ++$aCount;
3525 }
3526 }
3527
3528 // Return
3529 if ($aCount > 0) {
3530 $summerA *= $aCount;
3531 $summerB *= $summerB;
3532 $returnValue = ($summerA - $summerB) / ($aCount * $aCount);
3533 }
3534 return $returnValue;
3535 } // function VARP()

References PHPExcel_Calculation_Functions\DIV0(), and PHPExcel_Calculation_Functions\flattenArray().

Referenced by PHPExcel_Calculation_Database\DVARP(), and PHPExcel_Calculation_MathTrig\SUBTOTAL().

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◆ VARPA()

static PHPExcel_Calculation_Statistical::VARPA ( )
static

Definition at line 3551 of file Statistical.php.

3551 {
3552 // Return value
3553 $returnValue = PHPExcel_Calculation_Functions::DIV0();
3554
3555 $summerA = $summerB = 0;
3556
3557 // Loop through arguments
3558 $aArgs = PHPExcel_Calculation_Functions::flattenArrayIndexed(func_get_args());
3559 $aCount = 0;
3560 foreach ($aArgs as $k => $arg) {
3561 if ((is_string($arg)) &&
3562 (PHPExcel_Calculation_Functions::isValue($k))) {
3563 return PHPExcel_Calculation_Functions::VALUE();
3564 } elseif ((is_string($arg)) &&
3565 (!PHPExcel_Calculation_Functions::isMatrixValue($k))) {
3566 } else {
3567 // Is it a numeric value?
3568 if ((is_numeric($arg)) || (is_bool($arg)) || ((is_string($arg) & ($arg != '')))) {
3569 if (is_bool($arg)) {
3570 $arg = (integer) $arg;
3571 } elseif (is_string($arg)) {
3572 $arg = 0;
3573 }
3574 $summerA += ($arg * $arg);
3575 $summerB += $arg;
3576 ++$aCount;
3577 }
3578 }
3579 }
3580
3581 // Return
3582 if ($aCount > 0) {
3583 $summerA *= $aCount;
3584 $summerB *= $summerB;
3585 $returnValue = ($summerA - $summerB) / ($aCount * $aCount);
3586 }
3587 return $returnValue;
3588 } // function VARPA()

References PHPExcel_Calculation_Functions\DIV0(), PHPExcel_Calculation_Functions\flattenArrayIndexed(), PHPExcel_Calculation_Functions\isMatrixValue(), PHPExcel_Calculation_Functions\isValue(), and PHPExcel_Calculation_Functions\VALUE().

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◆ WEIBULL()

static PHPExcel_Calculation_Statistical::WEIBULL (   $value,
  $alpha,
  $beta,
  $cumulative 
)
static

WEIBULL.

Returns the Weibull distribution. Use this distribution in reliability analysis, such as calculating a device's mean time to failure.

Parameters
float$value
float$alphaAlpha Parameter
float$betaBeta Parameter
boolean$cumulative
Returns
float

Definition at line 3604 of file Statistical.php.

3604 {
3605 $value = PHPExcel_Calculation_Functions::flattenSingleValue($value);
3606 $alpha = PHPExcel_Calculation_Functions::flattenSingleValue($alpha);
3607 $beta = PHPExcel_Calculation_Functions::flattenSingleValue($beta);
3608
3609 if ((is_numeric($value)) && (is_numeric($alpha)) && (is_numeric($beta))) {
3610 if (($value < 0) || ($alpha <= 0) || ($beta <= 0)) {
3611 return PHPExcel_Calculation_Functions::NaN();
3612 }
3613 if ((is_numeric($cumulative)) || (is_bool($cumulative))) {
3614 if ($cumulative) {
3615 return 1 - exp(0 - pow($value / $beta,$alpha));
3616 } else {
3617 return ($alpha / pow($beta,$alpha)) * pow($value,$alpha - 1) * exp(0 - pow($value / $beta,$alpha));
3618 }
3619 }
3620 }
3621 return PHPExcel_Calculation_Functions::VALUE();
3622 } // function WEIBULL()

References PHPExcel_Calculation_Functions\flattenSingleValue(), PHPExcel_Calculation_Functions\NaN(), and PHPExcel_Calculation_Functions\VALUE().

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◆ ZTEST()

static PHPExcel_Calculation_Statistical::ZTEST (   $dataSet,
  $m0,
  $sigma = NULL 
)
static

ZTEST.

Returns the Weibull distribution. Use this distribution in reliability analysis, such as calculating a device's mean time to failure.

Parameters
float$dataSet
float$m0Alpha Parameter
float$sigmaBeta Parameter
boolean$cumulative
Returns
float

Definition at line 3638 of file Statistical.php.

3638 {
3639 $dataSet = PHPExcel_Calculation_Functions::flattenArrayIndexed($dataSet);
3640 $m0 = PHPExcel_Calculation_Functions::flattenSingleValue($m0);
3641 $sigma = PHPExcel_Calculation_Functions::flattenSingleValue($sigma);
3642
3643 if (is_null($sigma)) {
3644 $sigma = self::STDEV($dataSet);
3645 }
3646 $n = count($dataSet);
3647
3648 return 1 - self::NORMSDIST((self::AVERAGE($dataSet) - $m0)/($sigma/SQRT($n)));
3649 } // function ZTEST()

References $n, PHPExcel_Calculation_Functions\flattenArrayIndexed(), PHPExcel_Calculation_Functions\flattenSingleValue(), NORMSDIST(), and STDEV().

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Field Documentation

◆ $_logBetaCache_p

PHPExcel_Calculation_Statistical::$_logBetaCache_p = 0.0
staticprivate

Definition at line 138 of file Statistical.php.

◆ $_logBetaCache_q

PHPExcel_Calculation_Statistical::$_logBetaCache_q = 0.0
staticprivate

Definition at line 139 of file Statistical.php.

◆ $_logBetaCache_result

PHPExcel_Calculation_Statistical::$_logBetaCache_result = 0.0
staticprivate

Definition at line 140 of file Statistical.php.

Referenced by _logBeta().

◆ $_logGammaCache_result

PHPExcel_Calculation_Statistical::$_logGammaCache_result = 0.0
staticprivate

logGamma function

Version
1.1
Author
Jaco van Kooten

Original author was Jaco van Kooten. Ported to PHP by Paul Meagher.

The natural logarithm of the gamma function.
Based on public domain NETLIB (Fortran) code by W. J. Cody and L. Stoltz
Applied Mathematics Division
Argonne National Laboratory
Argonne, IL 60439

References:

  1. W. J. Cody and K. E. Hillstrom, 'Chebyshev Approximations for the Natural Logarithm of the Gamma Function,' Math. Comp. 21, 1967, pp. 198-203.
  2. K. E. Hillstrom, ANL/AMD Program ANLC366S, DGAMMA/DLGAMA, May, 1969.
  3. Hart, Et. Al., Computer Approximations, Wiley and sons, New York, 1968.

From the original documentation:

This routine calculates the LOG(GAMMA) function for a positive real argument X. Computation is based on an algorithm outlined in references 1 and 2. The program uses rational functions that theoretically approximate LOG(GAMMA) to at least 18 significant decimal digits. The approximation for X > 12 is from reference 3, while approximations for X < 12.0 are similar to those in reference 1, but are unpublished. The accuracy achieved depends on the arithmetic system, the compiler, the intrinsic functions, and proper selection of the machine-dependent constants.

Error returns:
The program returns the value XINF for X .LE. 0.0 or when overflow would occur. The computation is believed to be free of underflow and overflow.

Returns
MAX_VALUE for x < 0.0 or when overflow would occur, i.e. x > 2.55E305

Definition at line 259 of file Statistical.php.

Referenced by _logGamma().

◆ $_logGammaCache_x

PHPExcel_Calculation_Statistical::$_logGammaCache_x = 0.0
staticprivate

Definition at line 260 of file Statistical.php.

The documentation for this class was generated from the following file: