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xstatstests

PyPI tests build codecov License: MIT Code style: black

Statistical tests on xarray objects. xstatstests currently includes the following statistical tests (most are currently simple, often vectorized, wrappers of scipy.stats functions):

Distribution tests

  • xstatstests.ks_1samp_1d : one-dimensional Kolmogorov-Smirnov test on one sample
  • xstatstests.ks_2samp_1d : one-dimensional Kolmogorov-Smirnov test on two independent samples
  • xstatstests.ks_2samp_2d : two-dimensional Kolmogorov-Smirnov test on two independent samples
  • xstatstests.anderson_ksamp: Anderson-Darling test on K independent samples
  • xstatstests.cramervonmises : Cramér-von Mises test on one sample
  • xstatstests.cramervonmises_2samp : Cramér-von Mises test on two independent samples
  • xstatstests.epps_singleton_2samp : Epps-Singleton test on two independent samples
  • xstatstests.ansari : Ansari-Bradley test for equal distribution scale parameters from two independent samples
  • xstatstests.mood : Mood test for equal distribution scale parameters from two independent samples

Parameter tests

  • xstatstests.ttest_ind : t-test for the means of two independent samples
  • xstatstests.ttest_rel : t-test for the means of two related samples
  • xstatstests.bartlett : Bartlett test for the variances of K independent samples
  • xstatstests.levene : Levene test for the variances of K independent samples
  • xstatstests.fligner : Fligner-Killeen test for the variances of K independent samples
  • xstatstests.median_test : Mood test for the medians of K independent samples

Normality tests

  • xstatstests.skewtest : D’Agostino test for normal sample skewness
  • xstatstests.kurtosistest : Anscombe test for normal sample kurtosis
  • xstatstests.normaltest: D’Agostino/Pearson test for normal sample skewness and kurtosis
  • xstatstests.jarque_bera : Jarque-Bera test for normal sample skewness and kurtosis
  • xstatstests.shapiro : Shapiro-Wilk test for normality

Other tests

  • xstatstests.mannwhitneyu : Mann-Whitney U rank test on two independent samples
  • xstatstests.ranksums : Wilcoxon rank-sum statistic on two independent samples
  • xstatstests.kruskal : Kruskal-Wallis H-test on K independent samples
  • xstatstests.friedmanchisquare : Friedman chi-squared test on K repeated samples
  • xstatstests.brunnermunzel : Brunner-Munzel test on two independent samples

This package was originally called xks but was renamed when tests additional to the KS test were added.

Installation

To install this package from PyPI:

pip install xstatstests

Contributing

Contributions are very welcome, particularly in the form of reporting bugs and writing tests. Please open an issue and check out the contributor guide.

References

Press, W.H. et al. 2007, Numerical Recipes, section 14.8

Peacock, J.A. 1983, Two-Dimensional Goodness-of-Fit Testing in Astronomy, Monthly Notices of the Royal Astronomical Society, vol. 202, pp. 615-627

Fasano, G. and Franceschini, A. 1987, A Multidimensional Version of the Kolmogorov-Smirnov Test, Monthly Notices of the Royal Astronomical Society, vol. 225, pp. 155-170