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Statistical.php
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1 <?php
2 
4 
15 
20 {
21  const LOG_GAMMA_X_MAX_VALUE = 2.55e305;
22  const EPS = 2.22e-16;
23  const MAX_VALUE = 1.2e308;
24  const SQRT2PI = 2.5066282746310005024157652848110452530069867406099;
25 
44  public static function AVEDEV(...$args)
45  {
46  return Averages::averageDeviations(...$args);
47  }
48 
66  public static function AVERAGE(...$args)
67  {
68  return Averages::average(...$args);
69  }
70 
88  public static function AVERAGEA(...$args)
89  {
90  return Averages::averageA(...$args);
91  }
92 
112  public static function AVERAGEIF($range, $condition, $averageRange = [])
113  {
114  return Conditional::AVERAGEIF($range, $condition, $averageRange);
115  }
116 
135  public static function BETADIST($value, $alpha, $beta, $rMin = 0, $rMax = 1)
136  {
137  return Statistical\Distributions\Beta::distribution($value, $alpha, $beta, $rMin, $rMax);
138  }
139 
158  public static function BETAINV($probability, $alpha, $beta, $rMin = 0, $rMax = 1)
159  {
160  return Statistical\Distributions\Beta::inverse($probability, $alpha, $beta, $rMin, $rMax);
161  }
162 
184  public static function BINOMDIST($value, $trials, $probability, $cumulative)
185  {
186  return Statistical\Distributions\Binomial::distribution($value, $trials, $probability, $cumulative);
187  }
188 
204  public static function CHIDIST($value, $degrees)
205  {
207  }
208 
224  public static function CHIINV($probability, $degrees)
225  {
226  return Statistical\Distributions\ChiSquared::inverseRightTail($probability, $degrees);
227  }
228 
245  public static function CONFIDENCE($alpha, $stdDev, $size)
246  {
247  return Confidence::CONFIDENCE($alpha, $stdDev, $size);
248  }
249 
265  public static function CORREL($yValues, $xValues = null)
266  {
267  return Trends::CORREL($xValues, $yValues);
268  }
269 
287  public static function COUNT(...$args)
288  {
289  return Counts::COUNT(...$args);
290  }
291 
309  public static function COUNTA(...$args)
310  {
311  return Counts::COUNTA(...$args);
312  }
313 
331  public static function COUNTBLANK(...$args)
332  {
333  return Counts::COUNTBLANK(...$args);
334  }
335 
354  public static function COUNTIF($range, $condition)
355  {
356  return Conditional::COUNTIF($range, $condition);
357  }
358 
376  public static function COUNTIFS(...$args)
377  {
378  return Conditional::COUNTIFS(...$args);
379  }
380 
396  public static function COVAR($yValues, $xValues)
397  {
398  return Trends::COVAR($yValues, $xValues);
399  }
400 
420  public static function CRITBINOM($trials, $probability, $alpha)
421  {
422  return Statistical\Distributions\Binomial::inverse($trials, $probability, $alpha);
423  }
424 
442  public static function DEVSQ(...$args)
443  {
444  return Statistical\Deviations::sumSquares(...$args);
445  }
446 
465  public static function EXPONDIST($value, $lambda, $cumulative)
466  {
467  return Statistical\Distributions\Exponential::distribution($value, $lambda, $cumulative);
468  }
469 
491  public static function FDIST2($value, $u, $v, $cumulative)
492  {
493  return Statistical\Distributions\F::distribution($value, $u, $v, $cumulative);
494  }
495 
512  public static function FISHER($value)
513  {
515  }
516 
533  public static function FISHERINV($value)
534  {
536  }
537 
554  public static function FORECAST($xValue, $yValues, $xValues)
555  {
556  return Trends::FORECAST($xValue, $yValues, $xValues);
557  }
558 
573  public static function GAMMAFunction($value)
574  {
576  }
577 
595  public static function GAMMADIST($value, $a, $b, $cumulative)
596  {
597  return Statistical\Distributions\Gamma::distribution($value, $a, $b, $cumulative);
598  }
599 
616  public static function GAMMAINV($probability, $alpha, $beta)
617  {
618  return Statistical\Distributions\Gamma::inverse($probability, $alpha, $beta);
619  }
620 
635  public static function GAMMALN($value)
636  {
638  }
639 
655  public static function GAUSS($value)
656  {
658  }
659 
679  public static function GEOMEAN(...$args)
680  {
681  return Statistical\Averages\Mean::geometric(...$args);
682  }
683 
701  public static function GROWTH($yValues, $xValues = [], $newValues = [], $const = true)
702  {
703  return Trends::GROWTH($yValues, $xValues, $newValues, $const);
704  }
705 
724  public static function HARMEAN(...$args)
725  {
726  return Statistical\Averages\Mean::harmonic(...$args);
727  }
728 
747  public static function HYPGEOMDIST($sampleSuccesses, $sampleNumber, $populationSuccesses, $populationNumber)
748  {
750  $sampleSuccesses,
751  $sampleNumber,
752  $populationSuccesses,
753  $populationNumber
754  );
755  }
756 
772  public static function INTERCEPT($yValues, $xValues)
773  {
774  return Trends::INTERCEPT($yValues, $xValues);
775  }
776 
794  public static function KURT(...$args)
795  {
796  return Statistical\Deviations::kurtosis(...$args);
797  }
798 
817  public static function LARGE(...$args)
818  {
819  return Statistical\Size::large(...$args);
820  }
821 
840  public static function LINEST($yValues, $xValues = null, $const = true, $stats = false)
841  {
842  return Trends::LINEST($yValues, $xValues, $const, $stats);
843  }
844 
863  public static function LOGEST($yValues, $xValues = null, $const = true, $stats = false)
864  {
865  return Trends::LOGEST($yValues, $xValues, $const, $stats);
866  }
867 
888  public static function LOGINV($probability, $mean, $stdDev)
889  {
890  return Statistical\Distributions\LogNormal::inverse($probability, $mean, $stdDev);
891  }
892 
910  public static function LOGNORMDIST($value, $mean, $stdDev)
911  {
912  return Statistical\Distributions\LogNormal::cumulative($value, $mean, $stdDev);
913  }
914 
933  public static function LOGNORMDIST2($value, $mean, $stdDev, $cumulative = false)
934  {
935  return Statistical\Distributions\LogNormal::distribution($value, $mean, $stdDev, $cumulative);
936  }
937 
956  public static function MAX(...$args)
957  {
958  return Maximum::max(...$args);
959  }
960 
978  public static function MAXA(...$args)
979  {
980  return Maximum::maxA(...$args);
981  }
982 
1000  public static function MAXIFS(...$args)
1001  {
1002  return Conditional::MAXIFS(...$args);
1003  }
1004 
1022  public static function MEDIAN(...$args)
1023  {
1024  return Statistical\Averages::median(...$args);
1025  }
1026 
1045  public static function MIN(...$args)
1046  {
1047  return Minimum::min(...$args);
1048  }
1049 
1067  public static function MINA(...$args)
1068  {
1069  return Minimum::minA(...$args);
1070  }
1071 
1089  public static function MINIFS(...$args)
1090  {
1091  return Conditional::MINIFS(...$args);
1092  }
1093 
1111  public static function MODE(...$args)
1112  {
1113  return Statistical\Averages::mode(...$args);
1114  }
1115 
1136  public static function NEGBINOMDIST($failures, $successes, $probability)
1137  {
1138  return Statistical\Distributions\Binomial::negative($failures, $successes, $probability);
1139  }
1140 
1160  public static function NORMDIST($value, $mean, $stdDev, $cumulative)
1161  {
1162  return Statistical\Distributions\Normal::distribution($value, $mean, $stdDev, $cumulative);
1163  }
1164 
1181  public static function NORMINV($probability, $mean, $stdDev)
1182  {
1183  return Statistical\Distributions\Normal::inverse($probability, $mean, $stdDev);
1184  }
1185 
1202  public static function NORMSDIST($value)
1203  {
1205  }
1206 
1224  public static function NORMSDIST2($value, $cumulative)
1225  {
1226  return Statistical\Distributions\StandardNormal::distribution($value, $cumulative);
1227  }
1228 
1243  public static function NORMSINV($value)
1244  {
1246  }
1247 
1265  public static function PERCENTILE(...$args)
1266  {
1267  return Statistical\Percentiles::PERCENTILE(...$args);
1268  }
1269 
1289  public static function PERCENTRANK($valueSet, $value, $significance = 3)
1290  {
1291  return Statistical\Percentiles::PERCENTRANK($valueSet, $value, $significance);
1292  }
1293 
1313  public static function PERMUT($numObjs, $numInSet)
1314  {
1315  return Permutations::PERMUT($numObjs, $numInSet);
1316  }
1317 
1336  public static function POISSON($value, $mean, $cumulative)
1337  {
1338  return Statistical\Distributions\Poisson::distribution($value, $mean, $cumulative);
1339  }
1340 
1358  public static function QUARTILE(...$args)
1359  {
1360  return Statistical\Percentiles::QUARTILE(...$args);
1361  }
1362 
1379  public static function RANK($value, $valueSet, $order = 0)
1380  {
1381  return Statistical\Percentiles::RANK($value, $valueSet, $order);
1382  }
1383 
1399  public static function RSQ($yValues, $xValues)
1400  {
1401  return Trends::RSQ($yValues, $xValues);
1402  }
1403 
1421  public static function SKEW(...$args)
1422  {
1423  return Statistical\Deviations::skew(...$args);
1424  }
1425 
1441  public static function SLOPE($yValues, $xValues)
1442  {
1443  return Trends::SLOPE($yValues, $xValues);
1444  }
1445 
1464  public static function SMALL(...$args)
1465  {
1466  return Statistical\Size::small(...$args);
1467  }
1468 
1485  public static function STANDARDIZE($value, $mean, $stdDev)
1486  {
1487  return Statistical\Standardize::execute($value, $mean, $stdDev);
1488  }
1489 
1508  public static function STDEV(...$args)
1509  {
1510  return StandardDeviations::STDEV(...$args);
1511  }
1512 
1530  public static function STDEVA(...$args)
1531  {
1532  return StandardDeviations::STDEVA(...$args);
1533  }
1534 
1552  public static function STDEVP(...$args)
1553  {
1554  return StandardDeviations::STDEVP(...$args);
1555  }
1556 
1574  public static function STDEVPA(...$args)
1575  {
1576  return StandardDeviations::STDEVPA(...$args);
1577  }
1578 
1594  public static function STEYX($yValues, $xValues)
1595  {
1596  return Trends::STEYX($yValues, $xValues);
1597  }
1598 
1615  public static function TDIST($value, $degrees, $tails)
1616  {
1617  return Statistical\Distributions\StudentT::distribution($value, $degrees, $tails);
1618  }
1619 
1635  public static function TINV($probability, $degrees)
1636  {
1637  return Statistical\Distributions\StudentT::inverse($probability, $degrees);
1638  }
1639 
1657  public static function TREND($yValues, $xValues = [], $newValues = [], $const = true)
1658  {
1659  return Trends::TREND($yValues, $xValues, $newValues, $const);
1660  }
1661 
1681  public static function TRIMMEAN(...$args)
1682  {
1683  return Statistical\Averages\Mean::trim(...$args);
1684  }
1685 
1703  public static function VARFunc(...$args)
1704  {
1705  return Variances::VAR(...$args);
1706  }
1707 
1725  public static function VARA(...$args)
1726  {
1727  return Variances::VARA(...$args);
1728  }
1729 
1747  public static function VARP(...$args)
1748  {
1749  return Variances::VARP(...$args);
1750  }
1751 
1769  public static function VARPA(...$args)
1770  {
1771  return Variances::VARPA(...$args);
1772  }
1773 
1792  public static function WEIBULL($value, $alpha, $beta, $cumulative)
1793  {
1794  return Statistical\Distributions\Weibull::distribution($value, $alpha, $beta, $cumulative);
1795  }
1796 
1816  public static function ZTEST($dataSet, $m0, $sigma = null)
1817  {
1818  return Statistical\Distributions\StandardNormal::zTest($dataSet, $m0, $sigma);
1819  }
1820 }
static RANK($value, $valueSet, $order=0)
RANK.
static PERCENTRANK($valueSet, $value, $significance=3)
PERCENTRANK.
Definition: Percentiles.php:76
static FORECAST($xValue, $yValues, $xValues)
FORECAST.
Definition: Trends.php:116
static distribution($value, $alpha, $beta, $rMin=0.0, $rMax=1.0)
BETADIST.
Definition: Beta.php:29
static distribution($value, $lambda, $cumulative)
EXPONDIST.
Definition: Exponential.php:23
static LINEST($yValues, $xValues=null, $const =true, $stats=false)
LINEST.
static STEYX($yValues, $xValues)
STEYX.
Definition: Trends.php:376
$size
Definition: RandomTest.php:84
static inverse($probability, $mean, $stdDev)
NORMINV.
Definition: Normal.php:64
static negative($failures, $successes, $probability)
NEGBINOMDIST.
Definition: Binomial.php:118
static GROWTH($yValues, $xValues=[], $newValues=[], $const =true)
GROWTH.
static CONFIDENCE($alpha, $stdDev, $size)
CONFIDENCE.
static ZTEST($dataSet, $m0, $sigma=null)
ZTEST.
static TREND($yValues, $xValues=[], $newValues=[], $const =true)
TREND.
Definition: Trends.php:402
static STEYX($yValues, $xValues)
STEYX.
static BETADIST($value, $alpha, $beta, $rMin=0, $rMax=1)
BETADIST.
static COUNTBLANK(... $args)
COUNTBLANK.
static GAMMADIST($value, $a, $b, $cumulative)
GAMMADIST.
static TREND($yValues, $xValues=[], $newValues=[], $const =true)
TREND.
static AVERAGEIF($range, $condition, $averageRange=[])
AVERAGEIF.
Definition: Conditional.php:32
static execute($value, $mean, $stdDev)
STANDARDIZE.
Definition: Standardize.php:21
static FORECAST($xValue, $yValues, $xValues)
FORECAST.
static CHIDIST($value, $degrees)
CHIDIST.
static CORREL($yValues, $xValues=null)
CORREL.
static TDIST($value, $degrees, $tails)
TDIST.
static FDIST2($value, $u, $v, $cumulative)
F.DIST.
static INTERCEPT($yValues, $xValues)
INTERCEPT.
Definition: Trends.php:175
static WEIBULL($value, $alpha, $beta, $cumulative)
WEIBULL.
static LINEST($yValues, $xValues=null, $const =true, $stats=false)
LINEST.
Definition: Trends.php:202
static EXPONDIST($value, $lambda, $cumulative)
EXPONDIST.
static inverse($probability, $alpha, $beta, $rMin=0.0, $rMax=1.0)
BETAINV.
Definition: Beta.php:75
static COUNTIF($range, $condition)
COUNTIF.
static CORREL($yValues, $xValues=null)
CORREL.
Definition: Trends.php:62
static RANK($value, $valueSet, $order=self::RANK_SORT_DESCENDING)
RANK.
static inverse($trials, $probability, $alpha)
CRITBINOM.
Definition: Binomial.php:157
static NORMDIST($value, $mean, $stdDev, $cumulative)
NORMDIST.
static distribution($value, $mean, $stdDev, $cumulative=false)
LOGNORM.DIST.
Definition: LogNormal.php:56
static TINV($probability, $degrees)
TINV.
static GROWTH($yValues, $xValues=[], $newValues=[], $const =true)
GROWTH.
Definition: Trends.php:145
static INTERCEPT($yValues, $xValues)
INTERCEPT.
static SLOPE($yValues, $xValues)
SLOPE.
Definition: Trends.php:352
static LOGNORMDIST2($value, $mean, $stdDev, $cumulative=false)
LOGNORM.DIST.
static distribution($value, $u, $v, $cumulative)
F.DIST.
Definition: F.php:25
static COVAR($yValues, $xValues)
COVAR.
static LOGEST($yValues, $xValues=null, $const =true, $stats=false)
LOGEST.
static BINOMDIST($value, $trials, $probability, $cumulative)
BINOMDIST.
static inverse($probability, $mean, $stdDev)
LOGINV.
Definition: LogNormal.php:99
static STANDARDIZE($value, $mean, $stdDev)
STANDARDIZE.
static GAMMAINV($probability, $alpha, $beta)
GAMMAINV.
static distribution($value, $mean, $stdDev, $cumulative)
NORMDIST.
Definition: Normal.php:27
static PERCENTRANK($valueSet, $value, $significance=3)
PERCENTRANK.
static LOGINV($probability, $mean, $stdDev)
LOGINV.
static NEGBINOMDIST($failures, $successes, $probability)
NEGBINOMDIST.
static cumulative($value, $mean, $stdDev)
LOGNORMDIST.
Definition: LogNormal.php:22
static POISSON($value, $mean, $cumulative)
POISSON.
static PERMUT($numObjs, $numInSet)
PERMUT.
static CRITBINOM($trials, $probability, $alpha)
CRITBINOM.
static CONFIDENCE($alpha, $stdDev, $size)
CONFIDENCE.
Definition: Confidence.php:21
static COVAR($yValues, $xValues)
COVAR.
Definition: Trends.php:90
static distribution($sampleSuccesses, $sampleNumber, $populationSuccesses, $populationNumber)
HYPGEOMDIST.
static inverse($probability, $alpha, $beta)
GAMMAINV.
Definition: Gamma.php:81
static distribution($value, $trials, $probability, $cumulative)
BINOMDIST.
Definition: Binomial.php:27
static CHIINV($probability, $degrees)
CHIINV.
static distribution($value, $a, $b, $cumulative)
GAMMADIST.
Definition: Gamma.php:48
static AVERAGEIF($range, $condition, $averageRange=[])
AVERAGEIF.
static LOGEST($yValues, $xValues=null, $const =true, $stats=false)
LOGEST.
Definition: Trends.php:263
static HYPGEOMDIST($sampleSuccesses, $sampleNumber, $populationSuccesses, $populationNumber)
HYPGEOMDIST.
static SLOPE($yValues, $xValues)
SLOPE.
static distribution($value, $alpha, $beta, $cumulative)
WEIBULL.
Definition: Weibull.php:23
static NORMINV($probability, $mean, $stdDev)
NORMINV.
static LOGNORMDIST($value, $mean, $stdDev)
LOGNORMDIST.
static BETAINV($probability, $alpha, $beta, $rMin=0, $rMax=1)
BETAINV.
static NORMSDIST2($value, $cumulative)
NORM.S.DIST.
static distribution($value, $mean, $cumulative)
POISSON.
Definition: Poisson.php:24