## Properties

### \$_logBetaCache_p

`\$_logBetaCache_p : `

### \$_logBetaCache_q

`\$_logBetaCache_q : `

### \$_logBetaCache_result

`\$_logBetaCache_result : `

### \$_logGammaCache_result

`\$_logGammaCache_result : `

### \$_logGammaCache_x

`\$_logGammaCache_x : `

## Methods

### AVEDEV()

`AVEDEV() : float`

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[, ...]])

float

### AVERAGE()

`AVERAGE() : float`

AVERAGE

Returns the average (arithmetic mean) of the arguments

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

float

### AVERAGEA()

`AVERAGEA() : float`

AVERAGEA

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

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

float

### AVERAGEIF()

`AVERAGEIF(  \$aArgs, string  \$condition, array<mixed,mixed>  \$averageArgs = array()) : float`

AVERAGEIF

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

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

#### Parameters

 \$aArgs string \$condition The criteria that defines which cells will be checked. array \$averageArgs Data values

#### Returns

float

`BETADIST(float  \$value, float  \$alpha, float  \$beta,   \$rMin,   \$rMax = 1) : float`

Returns the beta distribution.

#### Parameters

 float \$value Value at which you want to evaluate the distribution float \$alpha Parameter to the distribution float \$beta Parameter to the distribution \$rMin \$rMax

float

### BETAINV()

`BETAINV(float  \$probability, float  \$alpha, float  \$beta, float  \$rMin, float  \$rMax = 1) : float`

BETAINV

Returns the inverse of the beta distribution.

#### Parameters

 float \$probability Probability at which you want to evaluate the distribution float \$alpha Parameter to the distribution float \$beta Parameter to the distribution float \$rMin Minimum value float \$rMax Maximum value

float

### BINOMDIST()

`BINOMDIST(float  \$value, float  \$trials, float  \$probability, boolean  \$cumulative) : float`

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

float

### CHIDIST()

`CHIDIST(float  \$value, float  \$degrees) : float`

CHIDIST

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

#### Parameters

 float \$value Value for the function float \$degrees degrees of freedom

float

### CHIINV()

`CHIINV(float  \$probability, float  \$degrees) : float`

CHIINV

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

#### Parameters

 float \$probability Probability for the function float \$degrees degrees of freedom

float

### CONFIDENCE()

`CONFIDENCE(float  \$alpha, float  \$stdDev, float  \$size) : float`

CONFIDENCE

Returns the confidence interval for a population mean

#### Parameters

 float \$alpha float \$stdDev Standard Deviation float \$size

float

### CORREL()

`CORREL(  \$yValues,   \$xValues = null) : float`

CORREL

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

#### Parameters

 \$yValues \$xValues

float

### COUNT()

`COUNT() : integer`

COUNT

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

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

integer

### COUNTA()

`COUNTA() : integer`

COUNTA

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

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

integer

### COUNTBLANK()

`COUNTBLANK() : integer`

COUNTBLANK

Counts the number of empty cells within the list of arguments

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

integer

### COUNTIF()

`COUNTIF(  \$aArgs, string  \$condition) : integer`

COUNTIF

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

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

#### Parameters

 \$aArgs string \$condition The criteria that defines which cells will be counted.

integer

### COVAR()

`COVAR(  \$yValues,   \$xValues) : float`

COVAR

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

#### Parameters

 \$yValues \$xValues

float

### CRITBINOM()

`CRITBINOM(float  \$trials, float  \$probability, float  \$alpha) : integer`

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 \$trials number of Bernoulli trials float \$probability probability of a success on each trial float \$alpha criterion value

integer

### DEVSQ()

`DEVSQ() : float`

DEVSQ

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

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

float

### EXPONDIST()

`EXPONDIST(float  \$value, float  \$lambda, boolean  \$cumulative) : float`

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 \$value Value of the function float \$lambda The parameter value boolean \$cumulative

float

### FISHER()

`FISHER(float  \$value) : float`

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

float

### FISHERINV()

`FISHERINV(float  \$value) : float`

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

float

### FORECAST()

`FORECAST(  \$xValue,   \$yValues,   \$xValues) : float`

FORECAST

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

#### Parameters

 \$xValue \$yValues \$xValues

#### Returns

float

`GAMMADIST(float  \$value, float  \$a, float  \$b, boolean  \$cumulative) : float`

Returns the gamma distribution.

#### Parameters

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

float

### GAMMAINV()

`GAMMAINV(float  \$probability, float  \$alpha, float  \$beta) : float`

GAMMAINV

Returns the inverse of the beta distribution.

#### Parameters

 float \$probability Probability at which you want to evaluate the distribution float \$alpha Parameter to the distribution float \$beta Parameter to the distribution

float

### GAMMALN()

`GAMMALN(float  \$value) : float`

GAMMALN

Returns the natural logarithm of the gamma function.

#### Parameters

 float \$value

float

### GEOMEAN()

`GEOMEAN() : float`

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[, ...]])

float

### GROWTH()

`GROWTH(  \$yValues,   \$xValues = array(),   \$newValues = array(),   \$const = True) : array`

GROWTH

Returns values along a predicted emponential trend

#### Parameters

 \$yValues \$xValues \$newValues \$const

array —

of float

### HARMEAN()

`HARMEAN() : float`

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[, ...]])

float

### HYPGEOMDIST()

`HYPGEOMDIST(float  \$sampleSuccesses, float  \$sampleNumber, float  \$populationSuccesses, float  \$populationNumber) : float`

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

float

### INTERCEPT()

`INTERCEPT(  \$yValues,   \$xValues) : float`

INTERCEPT

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

#### Parameters

 \$yValues \$xValues

float

### KURT()

`KURT() : float`

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.

float

### LARGE()

`LARGE() : float`

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)

float

### LINEST()

`LINEST(  \$yValues,   \$xValues = NULL,   \$const = TRUE,   \$stats = FALSE) : array`

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

 \$yValues \$xValues \$const \$stats

array

### LOGEST()

`LOGEST(  \$yValues,   \$xValues = null,   \$const = True,   \$stats = False) : array`

LOGEST

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

#### Parameters

 \$yValues \$xValues \$const \$stats

#### Returns

array

`LOGINV(float  \$probability, float  \$mean, float  \$stdDev) : float`

Returns the inverse of the normal cumulative distribution

#### Parameters

 float \$probability float \$mean float \$stdDev

float

### LOGNORMDIST()

`LOGNORMDIST(float  \$value, float  \$mean, float  \$stdDev) : float`

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

float

### MAX()

`MAX() : float`

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[, ...]])

float

### MAXA()

`MAXA() : float`

MAXA

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

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

float

### MAXIF()

`MAXIF(  \$aArgs, string  \$condition,   \$sumArgs = array()) : float`

MAXIF

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

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

#### Parameters

 \$aArgs string \$condition The criteria that defines which cells will be checked. \$sumArgs

float

### MEDIAN()

`MEDIAN() : float`

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[, ...]])

float

### MIN()

`MIN() : float`

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[, ...]])

float

### MINA()

`MINA() : float`

MINA

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

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

float

### MINIF()

`MINIF(  \$aArgs, string  \$condition,   \$sumArgs = array()) : float`

MINIF

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

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

#### Parameters

 \$aArgs string \$condition The criteria that defines which cells will be checked. \$sumArgs

float

### MODE()

`MODE() : float`

MODE

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

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

float

### NEGBINOMDIST()

`NEGBINOMDIST(float  \$failures, float  \$successes, float  \$probability) : float`

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

float

### NORMDIST()

`NORMDIST(float  \$value, float  \$mean, float  \$stdDev, boolean  \$cumulative) : float`

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 \$mean Mean Value float \$stdDev Standard Deviation boolean \$cumulative

float

### NORMINV()

`NORMINV(  \$probability, float  \$mean, float  \$stdDev) : float`

NORMINV

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

#### Parameters

 \$probability float \$mean Mean Value float \$stdDev Standard Deviation

float

### NORMSDIST()

`NORMSDIST(float  \$value) : float`

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

float

### NORMSINV()

`NORMSINV(float  \$value) : float`

NORMSINV

Returns the inverse of the standard normal cumulative distribution

#### Parameters

 float \$value

float

### PERCENTILE()

`PERCENTILE() : float`

PERCENTILE

Returns the nth percentile of values in a range..

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

float

### PERCENTRANK()

`PERCENTRANK(  \$valueSet,   \$value,   \$significance = 3) : float`

PERCENTRANK

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

#### Parameters

 \$valueSet \$value \$significance

float

### PERMUT()

`PERMUT(integer  \$numObjs, integer  \$numInSet) : integer`

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

 integer \$numObjs Number of different objects integer \$numInSet Number of objects in each permutation

#### Returns

integer —

Number of permutations

### POISSON()

`POISSON(float  \$value, float  \$mean, boolean  \$cumulative) : float`

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 \$mean Mean Value boolean \$cumulative

float

### QUARTILE()

`QUARTILE() : float`

QUARTILE

Returns the quartile of a data set.

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

float

### RANK()

`RANK(  \$value,   \$valueSet,   \$order) : float`

RANK

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

#### Parameters

 \$value \$valueSet \$order

float

### RSQ()

`RSQ(  \$yValues,   \$xValues) : float`

RSQ

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

#### Parameters

 \$yValues \$xValues

float

### SKEW()

`SKEW() : float`

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.

float

### SLOPE()

`SLOPE(  \$yValues,   \$xValues) : float`

SLOPE

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

#### Parameters

 \$yValues \$xValues

float

### SMALL()

`SMALL() : float`

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)

float

### STANDARDIZE()

`STANDARDIZE(float  \$value, float  \$mean, float  \$stdDev) : float`

STANDARDIZE

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

#### Parameters

 float \$value Value to normalize float \$mean Mean Value float \$stdDev Standard Deviation

#### Returns

float —

Standardized value

### STDEV()

`STDEV() : float`

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[, ...]])

float

### STDEVA()

`STDEVA() : float`

STDEVA

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

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

float

### STDEVP()

`STDEVP() : float`

STDEVP

Calculates standard deviation based on the entire population

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

float

### STDEVPA()

`STDEVPA() : float`

STDEVPA

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

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

float

### STEYX()

`STEYX(  \$yValues,   \$xValues) : float`

STEYX

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

#### Parameters

 \$yValues \$xValues

float

### TDIST()

`TDIST(float  \$value, float  \$degrees, float  \$tails) : float`

TDIST

Returns the probability of Student's T distribution.

#### Parameters

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

float

### TINV()

`TINV(float  \$probability, float  \$degrees) : float`

TINV

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

#### Parameters

 float \$probability Probability for the function float \$degrees degrees of freedom

float

### TREND()

`TREND(  \$yValues,   \$xValues = array(),   \$newValues = array(),   \$const = True) : array`

TREND

Returns values along a linear trend

#### Parameters

 \$yValues \$xValues \$newValues \$const

array —

of float

### TRIMMEAN()

`TRIMMEAN() : float`

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.

float

### VARFunc()

`VARFunc() : float`

VARFunc

Estimates variance based on a sample.

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

float

### VARA()

`VARA() : float`

VARA

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

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

float

### VARP()

`VARP() : float`

VARP

Calculates variance based on the entire population

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

float

### VARPA()

`VARPA() : float`

VARPA

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

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

float

### WEIBULL()

`WEIBULL(float  \$value, float  \$alpha, float  \$beta, boolean  \$cumulative) : float`

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 \$alpha Alpha Parameter float \$beta Beta Parameter boolean \$cumulative

float

### ZTEST()

`ZTEST(float  \$dataSet, float  \$m0, float  \$sigma = NULL) : float`

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 \$m0 Alpha Parameter float \$sigma Beta Parameter

float

### _checkTrendArrays()

`_checkTrendArrays(  \$array1,   \$array2) `

#### Parameters

 \$array1 \$array2

### _beta()

`_beta(  \$p,   \$q) : `

Beta function.

 \$p \$q

#### Returns

if p<=0, q<=0 or p+q>2.55E305 to avoid errors and over/underflow

### _incompleteBeta()

`_incompleteBeta(  \$x,   \$p,   \$q) : `

Incomplete beta function

#### Parameters

 \$x \$p \$q

#### Returns

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

### _logBeta()

`_logBeta(  \$p,   \$q) : `

The natural logarithm of the beta function.

 \$p \$q

#### Returns

if p<=0, q<=0 or p+q>2.55E305 to avoid errors and over/underflow

### _betaFraction()

`_betaFraction(  \$x,   \$p,   \$q) `

Evaluates of continued fraction part of incomplete beta function.

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

#### Parameters

 \$x \$p \$q

### _logGamma()

`_logGamma(  \$x) `

 \$x

### _incompleteGamma()

`_incompleteGamma(  \$a,   \$x) `

 \$a \$x

### _gamma()

`_gamma(  \$data) `

 \$data

### _inverse_ncdf()

`_inverse_ncdf(  \$p) `

 \$p

### _inverse_ncdf2()

`_inverse_ncdf2(  \$prob) `

 \$prob

### _inverse_ncdf3()

`_inverse_ncdf3(  \$p) `

 \$p

### _modeCalc()

`_modeCalc(  \$data) `

 \$data