NMath User's Guide

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36.1 Product Features (.NET, C#, CSharp, VB, Visual Basic, F#)

The statistical features of NMath include:

● A data frame class for holding data of various types (numeric, string, boolean, datetime, and generic), with methods for appending, inserting, removing, sorting, and permuting rows and columns.

● Functions for computing descriptive statistics, such as mean, variance, standard deviation, percentile, median, quartiles, geometric mean, harmonic mean, RMS, kurtosis, skewness, and many more.

● Probability density function (PDF), cumulative distribution function (CDF), inverse CDF, and random variable moments for a variety of probability distributions.

● Multiple linear regression and logistic regression.

● Basic hypothesis tests, such as z-test, t-test, F-test, and Pearson's chi-square test, with calculation of p-values, critical values, and confidence intervals.

● One-way and two-way analysis of variance (ANOVA) and analysis of variance with repeated measures (RANOVA).

● Non-parametric tests, such as the Kolmogorov-Smirnov test and Kruskal-Wallis rank sum test.

● Multivariate statistical analyses, including principal component analysis, factor analysis, hierarchical cluster analysis, and k-means cluster analysis.

● Nonnegative matrix factorization (NMF), and data clustering using NMF.

● Partial least squares (PLS).

● Statistical process control.


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