Improved likelihood ratio tests and pearson chi-square tests for independence in two dimensional contingency tables

DOI10.1080/03610928608829224zbMath0605.62042OpenAlexW2001867300MaRDI QIDQ3742504

Balakrishna S. Hosmane

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/03610928608829224

zbMATH Keywords

Monte Carlo simulationcontingency tablePearson chi-square statistictesting independenceadjustmentsnominal level of significancelikelihood ratio goodness-of-fit statistic

Mathematics Subject Classification ID

Nonparametric hypothesis testing (62G10) Contingency tables (62H17)

Related Items (6)

Improved likelihood ratio test for multinomial goodness of fit ⋮ On the asymptotic bias and mean squared error of an improved estimator for coefficients in linear regression ⋮ Smoothing of likelihood ratio statistic for equiprobable multinomial goodness-of-fit ⋮ Unnamed Item ⋮ Testing homogeneity of the multinomial proportions ⋮ Improving the accuracy of goodness-of-fit tests based on Rao's divergence with small sample size.

Cites Work

• Unnamed Item
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• Analysis of Categorical Data by Linear Models
• Approximating the Moments and Distribution of the Likelihood Ratio Statistic for Multinomial Goodness of Fit
• Finite-Sample Properties of Some Old and Some New Estimators of a Common Odds Ratio from Multiple 2 × 2 Tables
• An Analysis of Variance for Categorical Data, II: Small Sample Comparisons with Chi Square and Other Competitors
• A Comparison of the X 2 , -2 \Log R, and Multinomial Probability Criteria for Significance Tests when Expected Frequencies Are Small
• Improved likelihood ratio tests for complete contingency tables
• A Comparison of Minimum Logit Chi-Square Estimation and Maximum Likelihood Estimation in 2 | times 2 | times 2 and 3 | times 2 | times 2 Contingency Tables: Tests for Interaction
• A comparison of the chi²and likelihood ratio tests for composite alternatives1
• Linear Statistical Inference and its Applications
• The $\chi^2$ Test of Goodness of Fit
• A Statistically Precise and Relatively Simple Method of Estimating the Bioassay with Quantal Response, Based on the Logistic Function

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