Many simple statistical operations, including calculation of summary statistics, t-tests, one- and two-way analysis of variance and non-parametric tests are provided by procedures in the Library:

`DESCRIBE` |
calculates summary statistics for variates |
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`TALLY` |
forms a simple tally table of the distinct values in a vector |

`TTEST` |
performs a one- or two-sample t-test |

`A2WAY` |
performs analysis of variance of a balanced or unbalanced design with up to two treatment factors |

`A2DISPLAY` |
provides further output following an analysis of variance by `A2WAY` |

`A2KEEP` |
copies information from an `A2WAY` analysis into Genstat data structures |

`AONEWAY` |
provides one-way analysis of variance |

`BLANDALTMAN` |
produces Bland-Altman plots to assess the agreement between two variates |

`CHISQUARE` |
calculates chi-square statistics for one- and two-way tables |

`CHIPERMTEST` |
performs a random permutation test for a two-dimensional contingency table |

`BNTEST` |
calculates one- or two-sample binomial tests |

`PNTEST` |
calculates one- or two-sample Poisson tests |

`FCORRELATION` |
forms the product moment correlation matrix for a list of variates, and tests whether the correlations are zero |

`PRCORRELATION` |
calculates probabilities for product moment correlations |

`CDESCRIBE` |
calculates summary statistics and tests of circular data |

`CASSOCIATION` |
calculates measures of association for circular data |

`CCOMPARE` |
tests whether samples from circular distributions have a common mean direction or have identical distributions |

`FRIEDMAN` |
performs Friedman’s nonparametric analysis of variance |

`GSTATISTIC` |
calculates the gamma statistic of agreement for ordinal data |

`KAPPA` |
calculates a kappa coefficient of agreement for nominally scaled data |

`KCONCORDANCE` |
calculates Kendall’s Coefficient of Concordance (synonym `CONCORD` ) |

`KOLMOG2` |
performs a Kolmogorov-Smirnoff two-sample test |

`KRUSKAL` |
carries out a Kruskal-Wallis one-way analysis of variance |

`KTAU` |
calculates Kendall’s rank correlation coefficient τ |

`LCONCORDANCE` |
calculates Lin’s concordance correlation coefficient |

`MANNWHITNEY` |
performs a Mann-Whitney U test |

`MCNEMAR` |
performs McNemar’s test for the significance of changes |

`MCOMPARISON` |
performs pairwise multiple comparison tests within a table of means |

`QCOCHRAN` |
performs Cochran’s Q test for differences between related-samples |

`CATRENDTEST` |
calculates the Cochran-Armitage chi-square test for trend |

`CMHTEST` |
performs the Cochran-Mantel-Haenszel test |

`RUNTEST` |
performs a test of randomness of a sequence of observations |

`SIGNTEST` |
performs a one or two sample sign test |

`SPEARMAN` |
calculates Spearman’s rank correlation coefficient |

`STEEL` |
performs Steel’s many-one rank test |

`WILCOXON` |
performs a Wilcoxon Matched-Pairs (Signed-Rank) test |

`STTEST` |
calculates the sample size for t-tests (including equivalence tests) |

`SBNTEST` |
calculates the sample size for binomial tests |

`SCORRELATION` |
calculates the sample size to detect specified correlations |

`SLCONCORDANCE` |
calculates the sample size for Lin’s concordance coefficient |

`SMANNWHITNEY` |
calculates sample sizes for the Mann-Whitney test |

`SMCNEMAR` |
calculates sample sizes for McNemar’s test |

`SPRECISION` |
calculates the sample size to obtain a specified precision |

`SSIGNTEST` |
calculates the sample size for a sign test |

There are also facilities for fitting or assessing statistical distributions:

`DISTRIBUTION` |
estimates the parameters of continuous and discrete distributions |
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`EDFTEST` |
performs empirical-distribution-function goodness-of-fit tests |

`FDRMIXTURE` |
estimates false discovery rates using mixture distributions |

`KERNELDENSITY` |
uses kernel density estimation to estimate a sample density |

`NORMTEST` |
performs tests of univariate and/or multivariate Normality |

`WSTATISTIC` |
calculates the Shapiro-Wilk test for Normality |