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Defines 1 class

PHPExcel_Calculation_Statistical:: (87 methods):
  checkTrendArrays()
  beta()
  incompleteBeta()
  logBeta()
  betaFraction()
  logGamma()
  incompleteGamma()
  gamma()
  inverseNcdf()
  inverseNcdf2()
  inverseNcdf3()
  AVEDEV()
  AVERAGE()
  AVERAGEA()
  AVERAGEIF()
  BETADIST()
  BETAINV()
  BINOMDIST()
  CHIDIST()
  CHIINV()
  CONFIDENCE()
  CORREL()
  COUNT()
  COUNTA()
  COUNTBLANK()
  COUNTIF()
  COVAR()
  CRITBINOM()
  DEVSQ()
  EXPONDIST()
  FISHER()
  FISHERINV()
  FORECAST()
  GAMMADIST()
  GAMMAINV()
  GAMMALN()
  GEOMEAN()
  GROWTH()
  HARMEAN()
  HYPGEOMDIST()
  INTERCEPT()
  KURT()
  LARGE()
  LINEST()
  LOGEST()
  LOGINV()
  LOGNORMDIST()
  MAX()
  MAXA()
  MAXIF()
  MEDIAN()
  MIN()
  MINA()
  MINIF()
  modeCalc()
  MODE()
  NEGBINOMDIST()
  NORMDIST()
  NORMINV()
  NORMSDIST()
  NORMSINV()
  PERCENTILE()
  PERCENTRANK()
  PERMUT()
  POISSON()
  QUARTILE()
  RANK()
  RSQ()
  SKEW()
  SLOPE()
  SMALL()
  STANDARDIZE()
  STDEV()
  STDEVA()
  STDEVP()
  STDEVPA()
  STEYX()
  TDIST()
  TINV()
  TREND()
  TRIMMEAN()
  VARFunc()
  VARA()
  VARP()
  VARPA()
  WEIBULL()
  ZTEST()


Class: PHPExcel_Calculation_Statistical  - X-Ref

PHPExcel_Calculation_Statistical

Copyright (c) 2006 - 2015 PHPExcel

This library is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public
License as published by the Free Software Foundation; either
version 2.1 of the License, or (at your option) any later version.

This library is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
Lesser General Public License for more details.

You should have received a copy of the GNU Lesser General Public
License along with this library; if not, write to the Free Software
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA

checkTrendArrays(&$array1, &$array2)   X-Ref
No description

beta($p, $q)   X-Ref
Beta function.

param: p require p>0
param: q require q>0
return: 0 if p<=0, q<=0 or p+q>2.55E305 to avoid errors and over/underflow
author: Jaco van Kooten

incompleteBeta($x, $p, $q)   X-Ref
Incomplete beta function

param: x require 0<=x<=1
param: p require p>0
param: q require q>0
return: 0 if x<0, p<=0, q<=0 or p+q>2.55E305 and 1 if x>1 to avoid errors and over/underflow
author: Jaco van Kooten
author: Paul Meagher

logBeta($p, $q)   X-Ref
The natural logarithm of the beta function.

param: p require p>0
param: q require q>0
return: 0 if p<=0, q<=0 or p+q>2.55E305 to avoid errors and over/underflow
author: Jaco van Kooten

betaFraction($x, $p, $q)   X-Ref
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

logGamma($x)   X-Ref
No description

incompleteGamma($a, $x)   X-Ref
No description

gamma($data)   X-Ref
No description

inverseNcdf($p)   X-Ref
No description

inverseNcdf2($prob)   X-Ref
No description

inverseNcdf3($p)   X-Ref
No description

AVEDEV()   X-Ref
AVEDEV

Returns the average of the absolute deviations of data points from their mean.
AVEDEV is a measure of the variability in a data set.

Excel Function:
AVEDEV(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

AVERAGE()   X-Ref
AVERAGE

Returns the average (arithmetic mean) of the arguments

Excel Function:
AVERAGE(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

AVERAGEA()   X-Ref
AVERAGEA

Returns the average of its arguments, including numbers, text, and logical values

Excel Function:
AVERAGEA(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

AVERAGEIF($aArgs, $condition, $averageArgs = array()   X-Ref
AVERAGEIF

Returns the average value from a range of cells that contain numbers within the list of arguments

Excel Function:
AVERAGEIF(value1[,value2[, ...]],condition)

param: mixed        $arg,...        Data values
param: string        $condition        The criteria that defines which cells will be checked.
param: mixed[]        $averageArgs    Data values
return: float

BETADIST($value, $alpha, $beta, $rMin = 0, $rMax = 1)   X-Ref
BETADIST

Returns the beta distribution.

param: float        $value            Value at which you want to evaluate the distribution
param: float        $alpha            Parameter to the distribution
param: float        $beta            Parameter to the distribution
param: boolean        $cumulative
return: float

BETAINV($probability, $alpha, $beta, $rMin = 0, $rMax = 1)   X-Ref
BETAINV

Returns the inverse of the beta distribution.

param: float        $probability    Probability at which you want to evaluate the distribution
param: float        $alpha            Parameter to the distribution
param: float        $beta            Parameter to the distribution
param: float        $rMin            Minimum value
param: float        $rMax            Maximum value
param: boolean        $cumulative
return: float

BINOMDIST($value, $trials, $probability, $cumulative)   X-Ref
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.

param: float        $value            Number of successes in trials
param: float        $trials            Number of trials
param: float        $probability    Probability of success on each trial
param: boolean        $cumulative
return: float

CHIDIST($value, $degrees)   X-Ref
CHIDIST

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

param: float        $value            Value for the function
param: float        $degrees        degrees of freedom
return: float

CHIINV($probability, $degrees)   X-Ref
CHIINV

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

param: float        $probability    Probability for the function
param: float        $degrees        degrees of freedom
return: float

CONFIDENCE($alpha, $stdDev, $size)   X-Ref
CONFIDENCE

Returns the confidence interval for a population mean

param: float        $alpha
param: float        $stdDev        Standard Deviation
param: float        $size
return: float

CORREL($yValues, $xValues = null)   X-Ref
CORREL

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

param: array of mixed        Data Series Y
param: array of mixed        Data Series X
return: float

COUNT()   X-Ref
COUNT

Counts the number of cells that contain numbers within the list of arguments

Excel Function:
COUNT(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: int

COUNTA()   X-Ref
COUNTA

Counts the number of cells that are not empty within the list of arguments

Excel Function:
COUNTA(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: int

COUNTBLANK()   X-Ref
COUNTBLANK

Counts the number of empty cells within the list of arguments

Excel Function:
COUNTBLANK(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: int

COUNTIF($aArgs, $condition)   X-Ref
COUNTIF

Counts the number of cells that contain numbers within the list of arguments

Excel Function:
COUNTIF(value1[,value2[, ...]],condition)

param: mixed        $arg,...        Data values
param: string        $condition        The criteria that defines which cells will be counted.
return: int

COVAR($yValues, $xValues)   X-Ref
COVAR

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

param: array of mixed        Data Series Y
param: array of mixed        Data Series X
return: float

CRITBINOM($trials, $probability, $alpha)   X-Ref
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

param: float        $trials            number of Bernoulli trials
param: float        $probability    probability of a success on each trial
param: float        $alpha            criterion value
return: int

DEVSQ()   X-Ref
DEVSQ

Returns the sum of squares of deviations of data points from their sample mean.

Excel Function:
DEVSQ(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

EXPONDIST($value, $lambda, $cumulative)   X-Ref
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.

param: float        $value            Value of the function
param: float        $lambda            The parameter value
param: boolean        $cumulative
return: float

FISHER($value)   X-Ref
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.

param: float        $value
return: float

FISHERINV($value)   X-Ref
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.

param: float        $value
return: float

FORECAST($xValue, $yValues, $xValues)   X-Ref
FORECAST

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

param: float                Value of X for which we want to find Y
param: array of mixed        Data Series Y
param: array of mixed        Data Series X
return: float

GAMMADIST($value, $a, $b, $cumulative)   X-Ref
GAMMADIST

Returns the gamma distribution.

param: float        $value            Value at which you want to evaluate the distribution
param: float        $a                Parameter to the distribution
param: float        $b                Parameter to the distribution
param: boolean        $cumulative
return: float

GAMMAINV($probability, $alpha, $beta)   X-Ref
GAMMAINV

Returns the inverse of the beta distribution.

param: float        $probability    Probability at which you want to evaluate the distribution
param: float        $alpha            Parameter to the distribution
param: float        $beta            Parameter to the distribution
return: float

GAMMALN($value)   X-Ref
GAMMALN

Returns the natural logarithm of the gamma function.

param: float        $value
return: float

GEOMEAN()   X-Ref
GEOMEAN

Returns the geometric mean of an array or range of positive data. For example, you
can use GEOMEAN to calculate average growth rate given compound interest with
variable rates.

Excel Function:
GEOMEAN(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

GROWTH($yValues, $xValues = array()   X-Ref
GROWTH

Returns values along a predicted emponential trend

param: array of mixed        Data Series Y
param: array of mixed        Data Series X
param: array of mixed        Values of X for which we want to find Y
param: boolean                A logical value specifying whether to force the intersect to equal 0.
return: array of float

HARMEAN()   X-Ref
HARMEAN

Returns the harmonic mean of a data set. The harmonic mean is the reciprocal of the
arithmetic mean of reciprocals.

Excel Function:
HARMEAN(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

HYPGEOMDIST($sampleSuccesses, $sampleNumber, $populationSuccesses, $populationNumber)   X-Ref
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.

param: float        $sampleSuccesses        Number of successes in the sample
param: float        $sampleNumber            Size of the sample
param: float        $populationSuccesses    Number of successes in the population
param: float        $populationNumber        Population size
return: float

INTERCEPT($yValues, $xValues)   X-Ref
INTERCEPT

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

param: array of mixed        Data Series Y
param: array of mixed        Data Series X
return: float

KURT()   X-Ref
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.

param: array    Data Series
return: float

LARGE()   X-Ref
LARGE

Returns the nth largest value in a data set. You can use this function to
select a value based on its relative standing.

Excel Function:
LARGE(value1[,value2[, ...]],entry)

param: mixed        $arg,...        Data values
param: int            $entry            Position (ordered from the largest) in the array or range of data to return
return: float

LINEST($yValues, $xValues = null, $const = true, $stats = false)   X-Ref
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.

param: array of mixed        Data Series Y
param: array of mixed        Data Series X
param: boolean                A logical value specifying whether to force the intersect to equal 0.
param: boolean                A logical value specifying whether to return additional regression statistics.
return: array

LOGEST($yValues, $xValues = null, $const = true, $stats = false)   X-Ref
LOGEST

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

param: array of mixed        Data Series Y
param: array of mixed        Data Series X
param: boolean                A logical value specifying whether to force the intersect to equal 0.
param: boolean                A logical value specifying whether to return additional regression statistics.
return: array

LOGINV($probability, $mean, $stdDev)   X-Ref
LOGINV

Returns the inverse of the normal cumulative distribution

param: float        $probability
param: float        $mean
param: float        $stdDev
return: float

LOGNORMDIST($value, $mean, $stdDev)   X-Ref
LOGNORMDIST

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

param: float        $value
param: float        $mean
param: float        $stdDev
return: float

MAX()   X-Ref
MAX

MAX returns the value of the element of the values passed that has the highest value,
with negative numbers considered smaller than positive numbers.

Excel Function:
MAX(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

MAXA()   X-Ref
MAXA

Returns the greatest value in a list of arguments, including numbers, text, and logical values

Excel Function:
MAXA(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

MAXIF($aArgs, $condition, $sumArgs = array()   X-Ref
MAXIF

Counts the maximum value within a range of cells that contain numbers within the list of arguments

Excel Function:
MAXIF(value1[,value2[, ...]],condition)

param: mixed        $arg,...        Data values
param: string        $condition        The criteria that defines which cells will be checked.
return: float

MEDIAN()   X-Ref
MEDIAN

Returns the median of the given numbers. The median is the number in the middle of a set of numbers.

Excel Function:
MEDIAN(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

MIN()   X-Ref
MIN

MIN returns the value of the element of the values passed that has the smallest value,
with negative numbers considered smaller than positive numbers.

Excel Function:
MIN(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

MINA()   X-Ref
MINA

Returns the smallest value in a list of arguments, including numbers, text, and logical values

Excel Function:
MINA(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

MINIF($aArgs, $condition, $sumArgs = array()   X-Ref
MINIF

Returns the minimum value within a range of cells that contain numbers within the list of arguments

Excel Function:
MINIF(value1[,value2[, ...]],condition)

param: mixed        $arg,...        Data values
param: string        $condition        The criteria that defines which cells will be checked.
return: float

modeCalc($data)   X-Ref
No description

MODE()   X-Ref
MODE

Returns the most frequently occurring, or repetitive, value in an array or range of data

Excel Function:
MODE(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

NEGBINOMDIST($failures, $successes, $probability)   X-Ref
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.

param: float        $failures        Number of Failures
param: float        $successes        Threshold number of Successes
param: float        $probability    Probability of success on each trial
return: float

NORMDIST($value, $mean, $stdDev, $cumulative)   X-Ref
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.

param: float        $value
param: float        $mean        Mean Value
param: float        $stdDev        Standard Deviation
param: boolean        $cumulative
return: float

NORMINV($probability, $mean, $stdDev)   X-Ref
NORMINV

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

param: float        $value
param: float        $mean        Mean Value
param: float        $stdDev        Standard Deviation
return: float

NORMSDIST($value)   X-Ref
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.

param: float        $value
return: float

NORMSINV($value)   X-Ref
NORMSINV

Returns the inverse of the standard normal cumulative distribution

param: float        $value
return: float

PERCENTILE()   X-Ref
PERCENTILE

Returns the nth percentile of values in a range..

Excel Function:
PERCENTILE(value1[,value2[, ...]],entry)

param: mixed        $arg,...        Data values
param: float        $entry            Percentile value in the range 0..1, inclusive.
return: float

PERCENTRANK($valueSet, $value, $significance = 3)   X-Ref
PERCENTRANK

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

param: array of number        An array of, or a reference to, a list of numbers.
param: number                The number whose rank you want to find.
param: number                The number of significant digits for the returned percentage value.
return: float

PERMUT($numObjs, $numInSet)   X-Ref
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.

param: int        $numObjs    Number of different objects
param: int        $numInSet    Number of objects in each permutation
return: int        Number of permutations

POISSON($value, $mean, $cumulative)   X-Ref
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.

param: float        $value
param: float        $mean        Mean Value
param: boolean        $cumulative
return: float

QUARTILE()   X-Ref
QUARTILE

Returns the quartile of a data set.

Excel Function:
QUARTILE(value1[,value2[, ...]],entry)

param: mixed        $arg,...        Data values
param: int            $entry            Quartile value in the range 1..3, inclusive.
return: float

RANK($value, $valueSet, $order = 0)   X-Ref
RANK

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

param: number                The number whose rank you want to find.
param: array of number        An array of, or a reference to, a list of numbers.
param: mixed                Order to sort the values in the value set
return: float

RSQ($yValues, $xValues)   X-Ref
RSQ

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

param: array of mixed        Data Series Y
param: array of mixed        Data Series X
return: float

SKEW()   X-Ref
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.

param: array    Data Series
return: float

SLOPE($yValues, $xValues)   X-Ref
SLOPE

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

param: array of mixed        Data Series Y
param: array of mixed        Data Series X
return: float

SMALL()   X-Ref
SMALL

Returns the nth smallest value in a data set. You can use this function to
select a value based on its relative standing.

Excel Function:
SMALL(value1[,value2[, ...]],entry)

param: mixed        $arg,...        Data values
param: int            $entry            Position (ordered from the smallest) in the array or range of data to return
return: float

STANDARDIZE($value, $mean, $stdDev)   X-Ref
STANDARDIZE

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

param: float    $value        Value to normalize
param: float    $mean        Mean Value
param: float    $stdDev        Standard Deviation
return: float    Standardized value

STDEV()   X-Ref
STDEV

Estimates standard deviation based on a sample. The standard deviation is a measure of how
widely values are dispersed from the average value (the mean).

Excel Function:
STDEV(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

STDEVA()   X-Ref
STDEVA

Estimates standard deviation based on a sample, including numbers, text, and logical values

Excel Function:
STDEVA(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

STDEVP()   X-Ref
STDEVP

Calculates standard deviation based on the entire population

Excel Function:
STDEVP(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

STDEVPA()   X-Ref
STDEVPA

Calculates standard deviation based on the entire population, including numbers, text, and logical values

Excel Function:
STDEVPA(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

STEYX($yValues, $xValues)   X-Ref
STEYX

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

param: array of mixed        Data Series Y
param: array of mixed        Data Series X
return: float

TDIST($value, $degrees, $tails)   X-Ref
TDIST

Returns the probability of Student's T distribution.

param: float        $value            Value for the function
param: float        $degrees        degrees of freedom
param: float        $tails            number of tails (1 or 2)
return: float

TINV($probability, $degrees)   X-Ref
TINV

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

param: float        $probability    Probability for the function
param: float        $degrees        degrees of freedom
return: float

TREND($yValues, $xValues = array()   X-Ref
TREND

Returns values along a linear trend

param: array of mixed        Data Series Y
param: array of mixed        Data Series X
param: array of mixed        Values of X for which we want to find Y
param: boolean                A logical value specifying whether to force the intersect to equal 0.
return: array of float

TRIMMEAN()   X-Ref
TRIMMEAN

Returns the mean of the interior of a data set. TRIMMEAN calculates the mean
taken by excluding a percentage of data points from the top and bottom tails
of a data set.

Excel Function:
TRIMEAN(value1[,value2[, ...]], $discard)

param: mixed        $arg,...        Data values
param: float        $discard        Percentage to discard
return: float

VARFunc()   X-Ref
VARFunc

Estimates variance based on a sample.

Excel Function:
VAR(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

VARA()   X-Ref
VARA

Estimates variance based on a sample, including numbers, text, and logical values

Excel Function:
VARA(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

VARP()   X-Ref
VARP

Calculates variance based on the entire population

Excel Function:
VARP(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

VARPA()   X-Ref
VARPA

Calculates variance based on the entire population, including numbers, text, and logical values

Excel Function:
VARPA(value1[,value2[, ...]])

param: mixed        $arg,...        Data values
return: float

WEIBULL($value, $alpha, $beta, $cumulative)   X-Ref
WEIBULL

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

param: float        $value
param: float        $alpha        Alpha Parameter
param: float        $beta        Beta Parameter
param: boolean        $cumulative
return: float

ZTEST($dataSet, $m0, $sigma = null)   X-Ref
ZTEST

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

param: float        $dataSet
param: float        $m0        Alpha Parameter
param: float        $sigma    Beta Parameter
param: boolean        $cumulative
return: float



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