Version 2.1 Build 208

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**Declarations** Section, **MathStatistics_Initialize** Sub, **SampleData** Property, **StatVarType** Property, **Array2D** Sub, **Average** Function, **AverageArray** Function, **AverageDeviation** Function, **AverageDeviationArray** Function, **ChiTst** Function, **ChiTstVerify** Sub, **ConcatAllTypes** Sub, **ConcatInit** Sub, **ConcatIsNumeric** Sub, **ConcatNumeric** Sub, **ConcatNumericAndString** Sub, **ConcatTerm** Sub, **Correlation** Function, **Count** Function, **CountEqual** Function, **Covariance** Function, **DeviationsSquared** Function, **DeviationsSquaredArray** Function, **Fisher** Function, **FisherInverse** Function, **FlattenNumeric** Sub, **Forecast** Function, **GeometricMean** Function, **GeometricMeanArray** Function, **HarmonicMean** Function, **HarmonicMeanArray** Function, **Intercept** Function, **Kurtosis** Function, **KurtosisArray** Function, **KurtosisExcel** Function, **KurtosisExcelArray** Function, **Large** Function, **Maximum** Function, **MaximumArray** Function, **Median** Function, **MedianDeviation** Function, **MedianOfThree** Function, **MedianOfThreeVerify** Sub, **Minimum** Function, **MinimumArray** Function, **Mode** Function, **Pearson** Function, **Percentile** Function, **PercentRank** Function, **Probability** Function, **Product** Function, **ProductArray** Function, **Quartile** Function, **Range** Function, **RangeArray** Function, **Rank** Function, **RSquared** Function, **Skew** Function, **SkewArray** Function, **SkewExcel** Function, **SkewExcelArray** Function, **Slope** Function, **Small** Function, **StandardDeviation** Function, **StandardDeviationArray** Function, **StandardDeviationPopulation** Function, **StandardDeviationPopulationArray** Function, **StandardError** Function, **Standardize** Function, **Sum** Function, **SumArray** Function, **SumOfSquares** Function, **SumOfSquaresArray** Function, **TrimMean** Function, **Variance** Function, **VarianceArray** Function, **VariancePopulation** Function, **VariancePopulationArray** Function, **ZTst** Function

**Declarations**Section**Math Statistics _ Initialize**Sub- Initialize the MathStatistics Class, describing which numeric data types will be operated upon by the functions in this Class.
**Sample Data**Property- Returns an array of sample data for use in testing the statistical functions.
**Stat Var Type**Property- Determine if a specific numeric type of variable will be recognized by the statistical routines. Set whether a specific numeric type of variable will be recognized by the statistical routines.
**Array 2D**Sub- Converts a one-dimensional array into a two-dimensional array. See the examples in the ChiTstVerify function.
**Average**Function- Average (mean) value of numeric arguments.
**Average Array**Function- Average (mean) of numeric values. More efficient version of the Average Function but with restrictions on the arguments it accepts.
**Average Deviation**Function- Average deviation of numeric values from the mean.
**Average Deviation Array**Function- Average deviation of numeric values from the mean. More efficient version of the AverageDeviation Function but with restrictions on the arguments it accepts.
**Chi Tst**Function- Returns the chi-squared (X2) test for independence.
**Chi Tst Verify**Sub- Test the ChiTst function.
**Concat All Types**Sub- Concatenate all types of elements from vInput to array rOutput using counter rCount.
**Concat Init**Sub- Initialize the array and counter for the array concatenation routines.
**Concat Is Numeric**Sub- Concatenate numeric elements from vInput to array rOutput using counter rCount.
**Concat Numeric**Sub- Concatenate numeric elements from vInput to array rOutput using counter rCount.
**Concat Numeric And String**Sub- Concatenate numeric, boolean, and string numeric elements from vInput to array rOutput using counter rCount.
**Concat Term**Sub- Redimension the array rOutput based upon the number of elements according to the counter rCount.
**Correlation**Function- Returns the correlation coefficient of arrays vXValues and vYValues.
**Count**Function- Count the number of arguments that are numeric.
**Count Equal**Function- Count number of numeric arguments equal to the value vEqual.
**Covariance**Function- Returns the average of the products of the deviations for each data point pair.
**Deviations Squared**Function- Square of deviations of numeric values from the mean.
**Deviations Squared Array**Function- Square of deviations of numeric values from the mean. More efficient version of the DeviationsSquared Function but with restrictions on the arguments it accepts.
**Fisher**Function- Return the Fisher transformation at X.
**Fisher Inverse**Function- Return the inverse of the Fisher Transformation.
**Flatten Numeric**Sub- Accept an Array that contains other arrays and produces a one-dimensional array of "atomic" (non-array) elements.
**Forecast**Function- Predicts a future Y value for a specified X value using linear regression.
**Geometric Mean**Function- Geometric mean of positive numeric arguments.
**Geometric Mean Array**Function- Geometric mean of positive numeric values. More efficient version of the GeometricMean Function but with restrictions on the arguments it accepts.
**Harmonic Mean**Function- Harmonic mean of numeric arguments.
**Harmonic Mean Array**Function- Harmonic mean of numeric values. More efficient version of the HarmonicMean Function but with restrictions on the arguments it accepts.
**Intercept**Function- Calculates the point at which a line will intercept the Y axis using existing vYValues and vXValues. This point is based on a best-fit regression line plotted through the existing vYValues and vXValues.
**Kurtosis**Function- Returns the kurtosis of a distribution, as defined in Numerical Recipes in C, Second Edition. Measures the relative peakedness or flatness of a distribution.
**Kurtosis Array**Function- Returns the kurtosis of a distribution, as defined in Numerical Recipes in C, Second Edition. More efficient version of the Kurtosis Function but with restrictions on the arguments it accepts. Measures the relative peakedness or flatness of a distribution.
**Kurtosis Excel**Function- Returns the kurtosis of a distribution, as defined by Microsoft Excel. Measures the relative peakedness or flatness of a distribution.
**Kurtosis Excel Array**Function- Returns the kurtosis of a distribution, as defined by Microsoft Excel. More efficient version of the KurtosisExcel Function but with restrictions on the arguments it accepts. Measures the relative peakedness or flatness of a distribution.
**Large**Function- Returns the Nth largest number within vValues.
**Maximum**Function- Maximum of numeric arguments.
**Maximum Array**Function- Maximum of numeric values. More efficient version of the Maximum Function but with restrictions on the arguments it accepts.
**Median**Function- Median (middle) value of numeric arguments.
**Median Deviation**Function- Average deviation of numeric values from the median value.
**Median Of Three**Function- Median (or middle) of the three numeric arguments.
**Median Of Three Verify**Sub- Test the MedianOfThree function.
**Minimum**Function- Minimum of numeric arguments.
**Minimum Array**Function- Minimum of numeric values. More efficient version of the Minimum Function but with restrictions on the arguments it accepts.
**Mode**Function- Mode (most-frequently-occurring) value of numeric arguments.
**Pearson**Function- Returns the Pearson product moment correlation coefficient.
**Percentile**Function- Return the value from vValues at the Nth percentile. Inverse of the PercentRank function.
**Percent Rank**Function- Returns the rank of a value as a percentage of the values in the data set. Inverse of the Percentile function.
**Probability**Function- Returns the probability that the values in range vXValues are between two limits.
**Product**Function- Product of numeric arguments.
**Product Array**Function- Product of numeric values. More efficient version of the Product Function but with restrictions on the arguments it accepts.
**Quartile**Function- Returns the value from vValues at the quartile vQuartile.
**Range**Function- Range of numeric arguments. Return the difference between the maximum and minimum values.
**Range Array**Function- Range of numeric values. Return the difference between the maximum and minimum values. More efficient version of the Range Function but with restrictions on the arguments it accepts.
**Rank**Function- Returns the rank of the number vN within the numbers in vValues. vAscending determines how the numbers in vValues are sorted to determine the rank of vN.
**R Squared**Function- Returns the square of the Pearson product moment correlation coefficient. The proportion of the variance in Y attributable to the variance in X.
**Skew**Function- Returns the skewness of a distribution, as defined in Numerical Recipes in C, Second Edition. The skewness characterizes the degree of asymmetry of a distribution around its mean.
**Skew Array**Function- Returns the skewness of a distribution, as defined in Numerical Recipes in C, Second Edition. More efficient version of the Skew Function but with restrictions on the arguments it accepts. The skewness characterizes the degree of asymmetry of a distribution around its mean.
**Skew Excel**Function- Returns the skewness of a distribution, as defined by Microsoft Excel. The skewness characterizes the degree of asymmetry of a distribution around its mean.
**Skew Excel Array**Function- Returns the skewness of a distribution, as defined by Microsoft Excel. More efficient version of the SkewExcel Function but with restrictions on the arguments it accepts. The skewness characterizes the degree of asymmetry of a distribution around its mean.
**Slope**Function- Returns the slope of the linear regression line through data points in vYValues and vXValues.
**Small**Function- Returns the Nth smallest number within vValues.
**Standard Deviation**Function- Standard deviation of numeric arguments.
**Standard Deviation Array**Function- Standard deviation of numeric values. More efficient version of the StandardDeviation Function but with restrictions on the arguments it accepts.
**Standard Deviation Population**Function- Population standard deviation of numeric arguments.
**Standard Deviation Population Array**Function- Population standard deviation of numeric values. More efficient version of the StandardDeviationPopulation Function but with restrictions on the arguments it accepts.
**Standard Error**Function- Returns the standard error of the Y value for each X value in the linear regression.
**Standardize**Function- Returns a normalized value from a distribution with mean vMean and standard deviation vStdDev.
**Sum**Function- Sum (total) of numeric arguments.
**Sum Array**Function- Sum (total) of numeric values. More efficient version of the Sum Function but with restrictions on the arguments it accepts.
**Sum Of Squares**Function- Sum of squares of numeric arguments.
**Sum Of Squares Array**Function- Sum of squares of numeric values. More efficient version of the SumOfSquares Function but with restrictions on the arguments it accepts.
**Trim Mean**Function- Returns the mean of the values in the middle of a data set by excluding vPercent of the data points, half at the top and half at the bottom of the data.
**Variance**Function- Variance of numeric arguments.
**Variance Array**Function- Variance of numeric values. More efficient version of the Variance Function but with restrictions on the arguments it accepts.
**Variance Population**Function- Population variance of numeric arguments.
**Variance Population Array**Function- Population variance of numeric values. More efficient version of the VariancePopulation Function but with restrictions on the arguments it accepts.
**Z Tst**Function- Returns the two-tailed P-value of a z-test.

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