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Statistics Namespace

Basic statistical routines.

Introduces basic statistical routines, including hypothesis testing, distribution parameter estimation, descriptive statistics, ...

Name 
Description 
The following table lists functions in this documentation. 
The following table lists structs, records, enums in this documentation. 
The following table lists types in this documentation. 
 
Name 
Description 
 
Anderson-Darling GOF test. 
 
Performs the Bartlett test for dimensionality of data. 
 
Calculate parameters for Beta distributed values using MLE. 
 
Calculate parameters for Beta distributed values. 
 
This is function Statistics.BetaLike. 
 
This is function Statistics.BetaLike. 
 
Calculate parameters for binomial distributed values. 
 
Calculate parameters for binomial distributed values. 
 
Calculate parameters for Cauchy distributed values. 
 
Calculate the parameters and their (1-Alpha) confidence invervals for Cauchy distributed values. 
 
Calculate parameters for Chi-Squared distributed values. 
 
Chi-Squared Test. 
 
Pearson correlation coefficients. 
 
Pearson correlation coefficients. 
 
Pearson correlation coefficients between matrix rows and cols. 
 
Calculate the variance-covariance matrix (Result), assuming vectors X and Y are two variable and their elements are the observations. 
 
Calculate the covariance matrix (Result), assuming matrix X columns are variables and its rows are observations. 
 
Covariance/variance. 
 
The Cronbach Alpha coefficient. 
 
Divide the Data vector elements into NumBins equal intervals. 
 
Cumulative histogram. 
 
Empirical CDF. 
 
Calculate parameters for Erlang distributed values. 
 
Calculate parameters for exponentialy distributed values. 
 
Calculate parameters for exponentially distributed values. 
 
FFit 
Calculate parameter for Fisher-F distributed values. 
 
F Test. 
 
Creates the factors for full factorial design. 
 
Performs Mixed-Level Full Factorial Design. 
 
Calculate parameters for Gamma distributed values using MLE. 
 
Calculate parameters for Gamma distributed values. 
 
Calculate parameters for geometrically distributed values. 
 
Calculate parameters for geometrically distributed values. 
 
The Bera-Jarque GOF test to a normal distribution. 
 
The Chi-Squared goodness of fit test. 
 
The Chi-Squared goodness of fit test. 
 
One sample Kolmogorov-Smirnov GOF test. 
 
Two sample Kolmogorov-Smirnov GOF test. 
 
The Lilliefors GOF test to a normal distribution. 
 
Grubb's test for outliers. 
 
Divide the Data vector elements into NumBins equal intervals. 
 
Same as above, but here only values between Min and Max parameters will be counted. 
 
Divide the Data vector elements into NumBins equal intervals. 
 
Same as above, but here only values between Min and Max parameters will be counted. 
 
Histogram. 
 
One-sample Hotelling T2 test. 
 
Two-sample Hotelling T2 test. 
 
InterQuartile range. 
 
Calculate parameters for inverse Gaussian distributed values. 
 
Mu and lambda for inverse Gaussian distributed values. 
 
Calculate parameters for Laplace distributed values. 
 
Latin Hyper-Cube design. 
 
Calculate parameters for Logistic distributed values. 
 
Calculate parameters for log-normally distributed values. 
 
Calculate parameters for log-normally distributed values. 
 
This is function Statistics.MannWCDF1. 
 
Two sample Mann-Whitney test. 
 
Calculate parameters for Maxwell distributed values. 
 
M-Box test for equal covariances. 
 
Classical multidimensional scaling. 
 
The stress factor for multidimensional scaling. 
 
Geometric mean. 
 
Harmonic mean. 
 
Trimmed mean. 
 
Mode 
Mode of all Src vector elements. 
 
Mode 
Mode of Src vector elements [SrcIndex..SrcIndex+Len]. 
 
Moments. 
 
Calculate parameters for negative binomial distributed values. 
 
Calculate parameters for normally distributed values. 
 
Calculate parameters for normally distributed values. 
 
Orthogonal rotation of matrix. 
 
Pairwise distance. 
 
PCA 
Perform a PCA on Data matrix, where Data columns are variables and rows are the observables. 
 
PCA 
Performs a principal component analysis (PCA). 
 
PC residuals. 
 
Percentile (several percentiles in one go). 
 
Percentile. 
 
Calculate parameters for Poisson distributed values. 
 
Calculate parameters for Poisson distributed values. 
 
Range for matrix columns. 
 
Range for matrix rows. 
 
Rank vector elements (no tie adjustment). 
 
Calculate parameters for Rayleigh distributed values. 
 
Calculate parameters for Rayleigh distributed values. 
 
Remove matrix column. 
 
Remove matrix row. 
 
The Shapiro-Francia test for normality of data. 
 
The Shapiro-Wilks test for normality of data. 
 
Performs paired Sign test. The routine tests the null hypothesis that Data1 and Data2 have equal median value. 
 
One or two-sample Sign test. 
 
Spearman rank correlation test. 
 
Calculate parameter for Student-T distributed values. 
 
Tied ranks for vector elements. 
 
Calculate parameters for Triangular distributed values. 
 
Performs the two sample pooled or paired t-test. 
 
One or two sample paired or pooled T-test. 
 
Calculate parameters for discrete uniformly distributed values. 
 
Calculate parameters for discrete uniformly distributed values. 
 
Calculate parameters for uniformly distributed values. 
 
Calculate parameters for uniformly distributed values. 
 
Finds the unique elements in vector/matrix. 
 
Calculate parameters for Weibull distributed values using MLE. 
 
Calculate parameters for Weibull distributed values. 
 
Performs two-sample Wilcoxon Signed-Rank test by comparing Data1 and Data2 medians. 
 
One or two-sample Wilcoxon signed rank test. 
 
Z Test. 
 
Name 
Description 
 
Defines Hotelling T2 test type. 
 
Defines result of the hypothesis test. 
 
Defines one or two sided hypothesis testing. 
 
Defines the criterion for measuring the improvement of Latih Hypercube DOE. 
 
Defines the rotation method. 
 
Defines type of Principal Component Analysis (PCA). 
 
Defines methods for calculatating percentile. 
 
Defines method for pairwise distance calculation. 
Name 
Description 
Defines the array of two double elements. 
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