Combinatorics, computer algebra and the Wilcoxon-Mann-Whitney test

DOI10.1016/S0378-3758(98)00261-4zbMath1052.05501OpenAlexW2126559523WikidataQ56502269 ScholiaQ56502269MaRDI QIDQ1297588

Alessandro Di Bucchianico

Publication date: 1999

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-3758(98)00261-4

zbMATH Keywords

PartitionsComputer algebraGenerating functionsGaussian binomial coefficientsRecurrencesWilcoxon-Mann-Whitney two-sample test

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Software, source code, etc. for problems pertaining to statistics (62-04) Exact distribution theory in statistics (62E15) Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17)

Related Items (8)

Reliability and efficiency of algorithms for computing the significance of the Mann-Whitney test ⋮ On the moments of a distribution defined by the Gaussian polynomials. ⋮ On stochastic orderings of the Wilcoxon rank sum test statistic-with applications to reproducibility probability estimation testing ⋮ A generalized wilcoxon-mann-whitney statistic ⋮ Reproducibility probability estimation and testing for the Wilcoxon rank-sum test ⋮ Exact algorithms for computing \(p\)-values of statistics-linear combination of 3-nomial variables ⋮ Combinatorics and Statistical Issues Related to the Kruskal–Wallis Statistic ⋮ Chebyshev’s Inequality for Nonparametric Testing with Small N and α in Microarray Research

Uses Software

• Mathematica

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A recurrence formula for the distribution of the Wilcoxon rank sum statistic
• A note on the distribution of the Wilcoxon rank sum statistic
• Some asymptotic formulas for lattice paths
• Significance Probabilities of the Wilcoxon Test
• Contributions to the Theory of Rank Order Statistics-the Two-Sample Case
• Onq-Binomial Coefficients and Some Statistical Applications
• An Approximation to the Wilcoxon-Mann-Whitney Distribution
• The pair chart*
• On a Test of Whether one of Two Random Variables is Stochastically Larger than the Other

This page was built for publication: Combinatorics, computer algebra and the Wilcoxon-Mann-Whitney test