Class PHPExcel_Calculation_Statistical

PHPExcel_Calculation_Statistical

Package: PHPExcel\Calculation
Category: PHPExcel
Copyright: Copyright (c) 2006 - 2014 PHPExcel (http://www.codeplex.com/PHPExcel)
License: LGPL
Located at controlador/include/phpexcel/PHPExcel/Calculation/Statistical.php

Methods summary
`private static`	# `_checkTrendArrays( & $array1, & $array2 )`
`private static 0`	# `_beta( p $p, q $q )` Beta function. Beta function. Parameters `$p` p>0 `$q` q>0 Returns 0 if p<=0, q<=0 or p+q>2.55E305 to avoid errors and over/underflow Author Jaco van Kooten
`private static 0`	# `_incompleteBeta( x $x, p $p, q $q )` Incomplete beta function Incomplete beta function Parameters `$x` 0<=x<=1 `$p` p>0 `$q` 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 Author Jaco van Kooten Paul Meagher The computation is based on formulas from Numerical Recipes, Chapter 6.4 (W.H. Press et al, 1992).
`private static 0`	# `_logBeta( p $p, q $q )` The natural logarithm of the beta function. The natural logarithm of the beta function. Parameters `$p` p>0 `$q` q>0 Returns 0 if p<=0, q<=0 or p+q>2.55E305 to avoid errors and over/underflow Author Jaco van Kooten
`private static`	# `_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). 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
`private static`	# `_logGamma( $x )`
`private static`	# `_incompleteGamma( $a, $x )`
`private static`	# `_gamma( $data )`
`private static`	# `_inverse_ncdf( $p )`
`private static`	# `_inverse_ncdf2( $prob )`
`private static`	# `_inverse_ncdf3( $p )`
`public static float`	# `AVEDEV( )` AVEDEV 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[, ...]]) Returns float Category Statistical Functions
`public static float`	# `AVERAGE( )` AVERAGE AVERAGE Returns the average (arithmetic mean) of the arguments Excel Function: AVERAGE(value1[,value2[, ...]]) Returns float Category Statistical Functions
`public static float`	# `AVERAGEA( )` AVERAGEA AVERAGEA Returns the average of its arguments, including numbers, text, and logical values Excel Function: AVERAGEA(value1[,value2[, ...]]) Returns float Category Statistical Functions
`public static float`	# `AVERAGEIF( mixed $aArgs, string $condition, mixed[] $averageArgs = array() )` AVERAGEIF AVERAGEIF Returns the average value from a range of cells that contain numbers within the list of arguments Excel Function: AVERAGEIF(value1[,value2[, ...]],condition) Parameters `$aArgs` $arg,... Data values `$condition` The criteria that defines which cells will be checked. `$averageArgs` Data values Returns float Category Mathematical and Trigonometric Functions
`public static float`	# `BETADIST( float $value, float $alpha, float $beta, boolean $rMin = 0, $rMax = 1 )` BETADIST BETADIST Returns the beta distribution. Parameters `$value` Value at which you want to evaluate the distribution `$alpha` Parameter to the distribution `$beta` Parameter to the distribution `$rMin` $cumulative `$rMax` Returns float
`public static float`	# `BETAINV( float $probability, float $alpha, float $beta, float $rMin = 0, float $rMax = 1, boolean $cumulative,… )` BETAINV BETAINV Returns the inverse of the beta distribution. Parameters `$probability` Probability at which you want to evaluate the distribution `$alpha` Parameter to the distribution `$beta` Parameter to the distribution `$rMin` Minimum value `$rMax` Maximum value `$cumulative`,… Returns float
`public static float`	# `BINOMDIST( float $value, float $trials, float $probability, boolean $cumulative )` BINOMDIST BINOMDIST Returns the individual term binomial distribution probability. Use BINOMDIST in problems with a fixed number of tests or trials, when the outcomes of any trial are only success or failure, when trials are independent, and when the probability of success is constant throughout the experiment. For example, BINOMDIST can calculate the probability that two of the next three babies born are male. Parameters `$value` Number of successes in trials `$trials` Number of trials `$probability` Probability of success on each trial `$cumulative` Returns float Todo Cumulative distribution function
`public static float`	# `CHIDIST( float $value, float $degrees )` CHIDIST CHIDIST Returns the one-tailed probability of the chi-squared distribution. Parameters `$value` Value for the function `$degrees` degrees of freedom Returns float
`public static float`	# `CHIINV( float $probability, float $degrees )` CHIINV CHIINV Returns the one-tailed probability of the chi-squared distribution. Parameters `$probability` Probability for the function `$degrees` degrees of freedom Returns float
`public static float`	# `CONFIDENCE( float $alpha, float $stdDev, float $size )` CONFIDENCE CONFIDENCE Returns the confidence interval for a population mean Parameters `$alpha` `$stdDev` Standard Deviation `$size` Returns float
`public static float`	# `CORREL( array $yValues, array $xValues = null )` CORREL CORREL Returns covariance, the average of the products of deviations for each data point pair. Parameters `$yValues` mixed Data Series Y `$xValues` mixed Data Series X Returns float
`public static integer`	# `COUNT( )` COUNT COUNT Counts the number of cells that contain numbers within the list of arguments Excel Function: COUNT(value1[,value2[, ...]]) Returns integer Category Statistical Functions
`public static integer`	# `COUNTA( )` COUNTA COUNTA Counts the number of cells that are not empty within the list of arguments Excel Function: COUNTA(value1[,value2[, ...]]) Returns integer Category Statistical Functions
`public static integer`	# `COUNTBLANK( )` COUNTBLANK COUNTBLANK Counts the number of empty cells within the list of arguments Excel Function: COUNTBLANK(value1[,value2[, ...]]) Returns integer Category Statistical Functions
`public static integer`	# `COUNTIF( mixed $aArgs, string $condition )` COUNTIF COUNTIF Counts the number of cells that contain numbers within the list of arguments Excel Function: COUNTIF(value1[,value2[, ...]],condition) Parameters `$aArgs` $arg,... Data values `$condition` The criteria that defines which cells will be counted. Returns integer Category Statistical Functions
`public static float`	# `COVAR( array $yValues, array $xValues )` COVAR COVAR Returns covariance, the average of the products of deviations for each data point pair. Parameters `$yValues` mixed Data Series Y `$xValues` mixed Data Series X Returns float
`public static integer`	# `CRITBINOM( float $trials, float $probability, float $alpha )` CRITBINOM CRITBINOM Returns the smallest value for which the cumulative binomial distribution is greater than or equal to a criterion value See http://support.microsoft.com/kb/828117/ for details of the algorithm used Parameters `$trials` number of Bernoulli trials `$probability` probability of a success on each trial `$alpha` criterion value Returns integer 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).
`public static float`	# `DEVSQ( )` DEVSQ DEVSQ Returns the sum of squares of deviations of data points from their sample mean. Excel Function: DEVSQ(value1[,value2[, ...]]) Returns float Category Statistical Functions
`public static float`	# `EXPONDIST( float $value, float $lambda, boolean $cumulative )` EXPONDIST EXPONDIST Returns the exponential distribution. Use EXPONDIST to model the time between events, such as how long an automated bank teller takes to deliver cash. For example, you can use EXPONDIST to determine the probability that the process takes at most 1 minute. Parameters `$value` Value of the function `$lambda` The parameter value `$cumulative` Returns float
`public static float`	# `FISHER( float $value )` FISHER FISHER Returns the Fisher transformation at x. This transformation produces a function that is normally distributed rather than skewed. Use this function to perform hypothesis testing on the correlation coefficient. Parameters `$value` Returns float
`public static float`	# `FISHERINV( float $value )` FISHERINV FISHERINV Returns the inverse of the Fisher transformation. Use this transformation when analyzing correlations between ranges or arrays of data. If y = FISHER(x), then FISHERINV(y) = x. Parameters `$value` Returns float
`public static float`	# `FORECAST( float $xValue, array $yValues, array $xValues )` FORECAST FORECAST Calculates, or predicts, a future value by using existing values. The predicted value is a y-value for a given x-value. Parameters `$xValue` of X for which we want to find Y `$yValues` mixed Data Series Y `$xValues` mixed Data Series X Returns float
`public static float`	# `GAMMADIST( float $value, float $a, float $b, boolean $cumulative )` GAMMADIST GAMMADIST Returns the gamma distribution. Parameters `$value` Value at which you want to evaluate the distribution `$a` Parameter to the distribution `$b` Parameter to the distribution `$cumulative` Returns float
`public static float`	# `GAMMAINV( float $probability, float $alpha, float $beta )` GAMMAINV GAMMAINV Returns the inverse of the beta distribution. Parameters `$probability` Probability at which you want to evaluate the distribution `$alpha` Parameter to the distribution `$beta` Parameter to the distribution Returns float
`public static float`	# `GAMMALN( float $value )` GAMMALN GAMMALN Returns the natural logarithm of the gamma function. Parameters `$value` Returns float
`public static float`	# `GEOMEAN( )` GEOMEAN 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[, ...]]) Returns float Category Statistical Functions
`public static array`	# `GROWTH( array $yValues, array $xValues = array(), array $newValues = array(), boolean $const = True )` GROWTH GROWTH Returns values along a predicted emponential trend Parameters `$yValues` mixed Data Series Y `$xValues` mixed Data Series X `$newValues` mixed Values of X for which we want to find Y `$const` logical value specifying whether to force the intersect to equal 0. Returns array of float
`public static float`	# `HARMEAN( )` HARMEAN 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[, ...]]) Returns float Category Statistical Functions
`public static float`	# `HYPGEOMDIST( float $sampleSuccesses, float $sampleNumber, float $populationSuccesses, float $populationNumber )` HYPGEOMDIST HYPGEOMDIST Returns the hypergeometric distribution. HYPGEOMDIST returns the probability of a given number of sample successes, given the sample size, population successes, and population size. Parameters `$sampleSuccesses` Number of successes in the sample `$sampleNumber` Size of the sample `$populationSuccesses` Number of successes in the population `$populationNumber` Population size Returns float
`public static float`	# `INTERCEPT( array $yValues, array $xValues )` INTERCEPT INTERCEPT Calculates the point at which a line will intersect the y-axis by using existing x-values and y-values. Parameters `$yValues` mixed Data Series Y `$xValues` mixed Data Series X Returns float
`public static float`	# `KURT( )` KURT 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. Returns float
`public static float`	# `LARGE( integer $entry,… )` LARGE LARGE Returns the nth largest value in a data set. You can use this function to select a value based on its relative standing. Excel Function: LARGE(value1[,value2[, ...]],entry) Parameters `$entry`,… Position (ordered from the largest) in the array or range of data to return Returns float Category Statistical Functions
`public static array`	# `LINEST( array $yValues, array $xValues = NULL, boolean $const = TRUE, boolean $stats = FALSE )` LINEST LINEST Calculates the statistics for a line by using the "least squares" method to calculate a straight line that best fits your data, and then returns an array that describes the line. Parameters `$yValues` mixed Data Series Y `$xValues` mixed Data Series X `$const` logical value specifying whether to force the intersect to equal 0. `$stats` logical value specifying whether to return additional regression statistics. Returns array
`public static array`	# `LOGEST( array $yValues, array $xValues = null, boolean $const = True, boolean $stats = False )` LOGEST LOGEST Calculates an exponential curve that best fits the X and Y data series, and then returns an array that describes the line. Parameters `$yValues` mixed Data Series Y `$xValues` mixed Data Series X `$const` logical value specifying whether to force the intersect to equal 0. `$stats` logical value specifying whether to return additional regression statistics. Returns array
`public static float`	# `LOGINV( float $probability, float $mean, float $stdDev )` LOGINV LOGINV Returns the inverse of the normal cumulative distribution Parameters `$probability` `$mean` `$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/
`public static float`	# `LOGNORMDIST( float $value, float $mean, float $stdDev )` LOGNORMDIST LOGNORMDIST Returns the cumulative lognormal distribution of x, where ln(x) is normally distributed with parameters mean and standard_dev. Parameters `$value` `$mean` `$stdDev` Returns float
`public static float`	# `MAX( )` MAX 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[, ...]]) Returns float Category Statistical Functions
`public static float`	# `MAXA( )` MAXA MAXA Returns the greatest value in a list of arguments, including numbers, text, and logical values Excel Function: MAXA(value1[,value2[, ...]]) Returns float Category Statistical Functions
`public static float`	# `MAXIF( mixed $aArgs, string $condition, $sumArgs = array() )` MAXIF MAXIF Counts the maximum value within a range of cells that contain numbers within the list of arguments Excel Function: MAXIF(value1[,value2[, ...]],condition) Parameters `$aArgs` $arg,... Data values `$condition` The criteria that defines which cells will be checked. `$sumArgs` Returns float Category Mathematical and Trigonometric Functions
`public static float`	# `MEDIAN( )` MEDIAN 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[, ...]]) Returns float Category Statistical Functions
`public static float`	# `MIN( )` MIN 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[, ...]]) Returns float Category Statistical Functions
`public static float`	# `MINA( )` MINA MINA Returns the smallest value in a list of arguments, including numbers, text, and logical values Excel Function: MINA(value1[,value2[, ...]]) Returns float Category Statistical Functions
`public static float`	# `MINIF( mixed $aArgs, string $condition, $sumArgs = array() )` MINIF MINIF Returns the minimum value within a range of cells that contain numbers within the list of arguments Excel Function: MINIF(value1[,value2[, ...]],condition) Parameters `$aArgs` $arg,... Data values `$condition` The criteria that defines which cells will be checked. `$sumArgs` Returns float Category Mathematical and Trigonometric Functions
`private static`	# `_modeCalc( $data )`
`public static float`	# `MODE( )` MODE MODE Returns the most frequently occurring, or repetitive, value in an array or range of data Excel Function: MODE(value1[,value2[, ...]]) Returns float Category Statistical Functions
`public static float`	# `NEGBINOMDIST( float $failures, float $successes, float $probability )` NEGBINOMDIST NEGBINOMDIST Returns the negative binomial distribution. NEGBINOMDIST returns the probability that there will be number_f failures before the number_s-th success, when the constant probability of a success is probability_s. This function is similar to the binomial distribution, except that the number of successes is fixed, and the number of trials is variable. Like the binomial, trials are assumed to be independent. Parameters `$failures` Number of Failures `$successes` Threshold number of Successes `$probability` Probability of success on each trial Returns float
`public static float`	# `NORMDIST( float $value, float $mean, float $stdDev, boolean $cumulative )` NORMDIST NORMDIST Returns the normal distribution for the specified mean and standard deviation. This function has a very wide range of applications in statistics, including hypothesis testing. Parameters `$value` `$mean` Mean Value `$stdDev` Standard Deviation `$cumulative` Returns float
`public static float`	# `NORMINV( float $probability, float $mean, float $stdDev )` NORMINV NORMINV Returns the inverse of the normal cumulative distribution for the specified mean and standard deviation. Parameters `$probability` $value `$mean` Mean Value `$stdDev` Standard Deviation Returns float
`public static float`	# `NORMSDIST( float $value )` NORMSDIST NORMSDIST Returns the standard normal cumulative distribution function. The distribution has a mean of 0 (zero) and a standard deviation of one. Use this function in place of a table of standard normal curve areas. Parameters `$value` Returns float
`public static float`	# `NORMSINV( float $value )` NORMSINV NORMSINV Returns the inverse of the standard normal cumulative distribution Parameters `$value` Returns float
`public static float`	# `PERCENTILE( float $entry,… )` PERCENTILE PERCENTILE Returns the nth percentile of values in a range.. Excel Function: PERCENTILE(value1[,value2[, ...]],entry) Parameters `$entry`,… Percentile value in the range 0..1, inclusive. Returns float Category Statistical Functions
`public static float`	# `PERCENTRANK( array $valueSet, number $value, number $significance = 3 )` PERCENTRANK PERCENTRANK Returns the rank of a value in a data set as a percentage of the data set. Parameters `$valueSet` number An array of, or a reference to, a list of numbers. `$value` number whose rank you want to find. `$significance` number of significant digits for the returned percentage value. Returns float
`public static integer`	# `PERMUT( integer $numObjs, integer $numInSet )` PERMUT PERMUT Returns the number of permutations for a given number of objects that can be selected from number objects. A permutation is any set or subset of objects or events where internal order is significant. Permutations are different from combinations, for which the internal order is not significant. Use this function for lottery-style probability calculations. Parameters `$numObjs` Number of different objects `$numInSet` Number of objects in each permutation Returns integer Number of permutations
`public static float`	# `POISSON( float $value, float $mean, boolean $cumulative )` POISSON POISSON Returns the Poisson distribution. A common application of the Poisson distribution is predicting the number of events over a specific time, such as the number of cars arriving at a toll plaza in 1 minute. Parameters `$value` `$mean` Mean Value `$cumulative` Returns float
`public static float`	# `QUARTILE( integer $entry,… )` QUARTILE QUARTILE Returns the quartile of a data set. Excel Function: QUARTILE(value1[,value2[, ...]],entry) Parameters `$entry`,… Quartile value in the range 1..3, inclusive. Returns float Category Statistical Functions
`public static float`	# `RANK( number $value, array $valueSet, mixed $order = 0 )` RANK RANK Returns the rank of a number in a list of numbers. Parameters `$value` number whose rank you want to find. `$valueSet` number An array of, or a reference to, a list of numbers. `$order` to sort the values in the value set Returns float
`public static float`	# `RSQ( array $yValues, array $xValues )` RSQ RSQ Returns the square of the Pearson product moment correlation coefficient through data points in known_y's and known_x's. Parameters `$yValues` mixed Data Series Y `$xValues` mixed Data Series X Returns float
`public static float`	# `SKEW( )` SKEW 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. Returns float
`public static float`	# `SLOPE( array $yValues, array $xValues )` SLOPE SLOPE Returns the slope of the linear regression line through data points in known_y's and known_x's. Parameters `$yValues` mixed Data Series Y `$xValues` mixed Data Series X Returns float
`public static float`	# `SMALL( integer $entry,… )` SMALL SMALL Returns the nth smallest value in a data set. You can use this function to select a value based on its relative standing. Excel Function: SMALL(value1[,value2[, ...]],entry) Parameters `$entry`,… Position (ordered from the smallest) in the array or range of data to return Returns float Category Statistical Functions
`public static float`	# `STANDARDIZE( float $value, float $mean, float $stdDev )` STANDARDIZE STANDARDIZE Returns a normalized value from a distribution characterized by mean and standard_dev. Parameters `$value` Value to normalize `$mean` Mean Value `$stdDev` Standard Deviation Returns float Standardized value
`public static float`	# `STDEV( )` STDEV 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[, ...]]) Returns float Category Statistical Functions
`public static float`	# `STDEVA( )` STDEVA STDEVA Estimates standard deviation based on a sample, including numbers, text, and logical values Excel Function: STDEVA(value1[,value2[, ...]]) Returns float Category Statistical Functions
`public static float`	# `STDEVP( )` STDEVP STDEVP Calculates standard deviation based on the entire population Excel Function: STDEVP(value1[,value2[, ...]]) Returns float Category Statistical Functions
`public static float`	# `STDEVPA( )` STDEVPA STDEVPA Calculates standard deviation based on the entire population, including numbers, text, and logical values Excel Function: STDEVPA(value1[,value2[, ...]]) Returns float Category Statistical Functions
`public static float`	# `STEYX( array $yValues, array $xValues )` STEYX STEYX Returns the standard error of the predicted y-value for each x in the regression. Parameters `$yValues` mixed Data Series Y `$xValues` mixed Data Series X Returns float
`public static float`	# `TDIST( float $value, float $degrees, float $tails )` TDIST TDIST Returns the probability of Student's T distribution. Parameters `$value` Value for the function `$degrees` degrees of freedom `$tails` number of tails (1 or 2) Returns float
`public static float`	# `TINV( float $probability, float $degrees )` TINV TINV Returns the one-tailed probability of the chi-squared distribution. Parameters `$probability` Probability for the function `$degrees` degrees of freedom Returns float
`public static array`	# `TREND( array $yValues, array $xValues = array(), array $newValues = array(), boolean $const = True )` TREND TREND Returns values along a linear trend Parameters `$yValues` mixed Data Series Y `$xValues` mixed Data Series X `$newValues` mixed Values of X for which we want to find Y `$const` logical value specifying whether to force the intersect to equal 0. Returns array of float
`public static float`	# `TRIMMEAN( float $discard,… )` TRIMMEAN TRIMMEAN Returns the mean of the interior of a data set. TRIMMEAN calculates the mean taken by excluding a percentage of data points from the top and bottom tails of a data set. Excel Function: TRIMEAN(value1[,value2[, ...]],$discard) Parameters `$discard`,… Percentage to discard Returns float Category Statistical Functions
`public static float`	# `VARFunc( )` VARFunc VARFunc Estimates variance based on a sample. Excel Function: VAR(value1[,value2[, ...]]) Returns float Category Statistical Functions
`public static float`	# `VARA( )` VARA VARA Estimates variance based on a sample, including numbers, text, and logical values Excel Function: VARA(value1[,value2[, ...]]) Returns float Category Statistical Functions
`public static float`	# `VARP( )` VARP VARP Calculates variance based on the entire population Excel Function: VARP(value1[,value2[, ...]]) Returns float Category Statistical Functions
`public static float`	# `VARPA( )` VARPA VARPA Calculates variance based on the entire population, including numbers, text, and logical values Excel Function: VARPA(value1[,value2[, ...]]) Returns float Category Statistical Functions
`public static float`	# `WEIBULL( float $value, float $alpha, float $beta, boolean $cumulative )` WEIBULL WEIBULL Returns the Weibull distribution. Use this distribution in reliability analysis, such as calculating a device's mean time to failure. Parameters `$value` `$alpha` Alpha Parameter `$beta` Beta Parameter `$cumulative` Returns float
`public static float`	# `ZTEST( float $dataSet, float $m0, float $sigma = NULL, boolean $cumulative,… )` ZTEST ZTEST Returns the Weibull distribution. Use this distribution in reliability analysis, such as calculating a device's mean time to failure. Parameters `$dataSet` `$m0` Alpha Parameter `$sigma` Beta Parameter `$cumulative`,… Returns float

Properties summary
`private static float`	`$_logBetaCache_p`	# `0.0`
`private static float`	`$_logBetaCache_q`	# `0.0`
`private static float`	`$_logBetaCache_result`	# `0.0`
`private static float`	`$_logGammaCache_result`	# `0.0`
`private static float`	`$_logGammaCache_x`	# `0.0`

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Functions

Class PHPExcel_Calculation_Statistical

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