Testing homogeneity of the multinomial proportions

DOI10.1080/03610926.2014.966839zbMath1338.62060OpenAlexW2294745745MaRDI QIDQ2807802

Joseph Glaz, Cristina P. Sison, Jie Chen

Publication date: 25 May 2016

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2014.966839

zbMATH Keywords

order statisticslikelihood ratio testsconditional testsbootstrap testsMonte Carlo approximations

Mathematics Subject Classification ID

Multivariate distribution of statistics (62H10) Hypothesis testing in multivariate analysis (62H15) Bootstrap, jackknife and other resampling methods (62F40) Approximations to statistical distributions (nonasymptotic) (62E17)

Cites Work

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• The Poisson and chi-squared approximations as compared with the true upper-tail probability of Pearson's \(X^ 2\) for equiprobable multinomials
• An empirical investigation of some effects of sparseness in contingency tables
• A Classification Problem Involving Multinomials
• Improved likelihood ratio tests and pearson chi-square tests for independence in two dimensional contingency tables
• Inference for the maximum cell probability under multinomial sampling
• Asymptotically Optimal Tests for Multinomial Distributions
• A comparison of the chi²and likelihood ratio tests for composite alternatives1

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