The Poisson and chi-squared approximations as compared with the true upper-tail probability of Pearson's \(X^ 2\) for equiprobable multinomials

DOI10.1016/0378-3758(86)90140-0zbMath0592.62017OpenAlexW2078812743MaRDI QIDQ1075711

Golde I. Holtzman, Irving John Good

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0378-3758(86)90140-0

zbMATH Keywords

Poisson approximationcontinuity correctionchi-squared approximationsPearson X-squaredtable of chi-squared correction factors

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Exact distribution theory in statistics (62E15)

Related Items (6)

Continuity corrected approximations for and `exact' inference with Pearson's \(X^ 2\) ⋮ A review and a synthesis of the fast Fourier transform algorithms for exact analysis of discrete data ⋮ Improved likelihood ratio test for multinomial goodness of fit ⋮ A comparison of algorithms for exact goodness-of-fit tests for multinomial data ⋮ Testing homogeneity of the multinomial proportions ⋮ Computation of distributions of statistics by means of Markov chains

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• In dispraise of the exact test: Do the marginal totals of the \(2\times 2\) table contain relevent information respecting the table proportions?
• Comment on J. Berkson's paper In dispraise of the exact test
• Exact distribution for the chi square test in the one way table
• Saddle-point Methods for the Multinomial Distribution
• An Empirical Investigation of Goodness-of-Fit Statistics for Sparse Multinomials
• Exact and approximate distributions of the chi-square statistic for equiprobability
• Of what use are tests of significance and tests of hypothesis
• Goodness-of-Fit Tests for Discrete Data: A Review and an Application to a Health Impairment Scale
• Testing for Hardy-Weinberg Equilibrium in Small Samples
• A Study of the Accuracy of Some Approximations for t, χ 2 , and F Tail Probabilities
• Inaccuracy of the X 2 Test of Goodness of Fit when Expected Frequenies are Small
• The behaviour of some significance tests under experimental randomization
• Exact χ 2 Criterion Tables with Cell Expectations One: An Application to Coleman's Measure of Consensus
• On the Pearson Chi-Squared Goodness-Of-Fit Test Statistic
• Approximate Significance Levels of the Behrens-Fisher Test
• The $\chi^2$ Test of Goodness of Fit

This page was built for publication: The Poisson and chi-squared approximations as compared with the true upper-tail probability of Pearson's \(X^ 2\) for equiprobable multinomials