Inaccuracy of the X 2 Test of Goodness of Fit when Expected Frequenies are Small

DOI10.2307/2284509zbMath0286.62017OpenAlexW4232509203MaRDI QIDQ4773147

Leon A. Hyer, Merle W. Tate

Publication date: 1973

Published in: Journal of the American Statistical Association (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2284509

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Exact distribution theory in statistics (62E15) Monte Carlo methods (65C05)

Related Items

Small-sample comparisons for powerdivergence goodness-of-fit statistics for symmetric and skewed simple null hypotheses ⋮ Power-law distributions in binned empirical data ⋮ Analysis of residuals for the multinomial item response model ⋮ A Simple Algorithm for Exact Multinomial Tests ⋮ The sizes of the three popular asymptotic tests for testing homogeneity of two binomial proportions ⋮ Improving the accuracy of goodness-of-fit tests based on Rao's divergence with small sample size. ⋮ A survey of algorithms for exact distributions of test statistics in r\(\times c\) contingency tables with fixed margins ⋮ The Poisson and chi-squared approximations as compared with the true upper-tail probability of Pearson's \(X^ 2\) for equiprobable multinomials