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 |
HCOMPAREGROUPINGS |
calculates the Rand index, adjusted Rand index or Jaccard index to compare groupings defined by two factors |
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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BBINOMIAL |
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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 |
PRCORRELATION |
calculates probabilities for product moment correlations |
PRDOUBLEPOISSON |
calculates the probability density for the double Poisson distribution |
PRMANNWHITNEYU |
calculates probabilities for the Mann-Whitney U statistic |
PRSPEARMAN |
calculates probabilities for Spearman’s rank correlation statistic |
PRWILCOXON |
calculates probabilities for the Wilcoxon signed-rank statistic |
WSTATISTIC |
calculates the Shapiro-Wilk test for Normality |