# NAG FL InterfaceG08 (Nonpar)Nonparametric Statistics

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G08 (Nonpar) Chapter Introduction – A description of the Chapter and an overview of the algorithms available.

Routine
Mark of
Introduction

Purpose
g08aaf 8 nagf_nonpar_test_sign
Sign test on two paired samples
g08acf 8 nagf_nonpar_test_median
Median test on two samples of unequal size
g08aef 8 nagf_nonpar_test_friedman
Friedman two-way analysis of variance on $k$ matched samples
g08aff 8 nagf_nonpar_test_kruskal
Kruskal–Wallis one-way analysis of variance on $k$ samples of unequal size
g08agf 14 nagf_nonpar_test_wilcoxon
Performs the Wilcoxon one-sample (matched pairs) signed rank test
g08ahf 14 nagf_nonpar_test_mwu
Performs the Mann–Whitney $U$ test on two independent samples
g08ajf 14 nagf_nonpar_prob_mwu_noties
Computes the exact probabilities for the Mann–Whitney $U$ statistic, no ties in pooled sample
g08akf 14 nagf_nonpar_prob_mwu_ties
Computes the exact probabilities for the Mann–Whitney $U$ statistic, ties in pooled sample
g08alf 15 nagf_nonpar_test_cochranq
Performs the Cochran $Q$ test on cross-classified binary data
g08baf 8 nagf_nonpar_test_mooddavid
Mood's and David's tests on two samples of unequal size
g08cbf 14 nagf_nonpar_test_ks_1sample
Performs the one-sample Kolmogorov–Smirnov test for standard distributions
g08ccf 14 nagf_nonpar_test_ks_1sample_user
Performs the one-sample Kolmogorov–Smirnov test for a user-supplied distribution
g08cdf 14 nagf_nonpar_test_ks_2sample
Performs the two-sample Kolmogorov–Smirnov test
g08cgf 14 nagf_nonpar_test_chisq
Performs the ${\chi }^{2}$ goodness-of-fit test, for standard continuous distributions
g08chf 23 nagf_nonpar_gofstat_anddar
Calculates the Anderson–Darling goodness-of-fit test statistic
g08cjf 23 nagf_nonpar_gofstat_anddar_unif
Calculates the Anderson–Darling goodness-of-fit test statistic and its probability for the case of uniformly distributed data
g08ckf 23 nagf_nonpar_gofstat_anddar_normal
Calculates the Anderson–Darling goodness-of-fit test statistic and its probability for the case of a fully-unspecified Normal distribution
g08clf 23 nagf_nonpar_gofstat_anddar_exp
Calculates the Anderson–Darling goodness-of-fit test statistic and its probability for the case of an unspecified exponential distribution
g08daf 8 nagf_nonpar_concordance_kendall
Kendall's coefficient of concordance
g08eaf 14 nagf_nonpar_randtest_runs
Performs the runs up or runs down test for randomness
g08ebf 14 nagf_nonpar_randtest_pairs
Performs the pairs (serial) test for randomness
g08ecf 14 nagf_nonpar_randtest_triplets
Performs the triplets test for randomness
g08edf 14 nagf_nonpar_randtest_gaps
Performs the gaps test for randomness
g08raf 12 nagf_nonpar_rank_regsn
Regression using ranks, uncensored data
g08rbf 12 nagf_nonpar_rank_regsn_censored
Regression using ranks, right-censored data