An empirical investigation of some effects of sparseness in contingency tables

DOI10.1016/0167-9473(87)90003-XzbMath0605.62061OpenAlexW1974870522MaRDI QIDQ1083805

Ming-Chung Yang, Alan Agresti

Publication date: 1987

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-9473(87)90003-x

zbMATH Keywords

independencesimulation studycontingency tablessparsenessordinal variablesasymptotic chi-squared distributionlikelihood-ratio statisticPearson goodness-of-fit statisticsingle-degree-of-freedom test statisticsunsaturated loglinear models

Mathematics Subject Classification ID

Contingency tables (62H17) Probabilistic methods, stochastic differential equations (65C99)

Related Items (16)

Improved tests of independence in singly-ordered two-way contingency tables ⋮ A Note on Goodness-of-Fit Test in Latent Variable Models with Categorical Variables ⋮ The analysis of ordered categorical data: An overview and a survey of recent developments. (With discussion) ⋮ Odds ratios estimation of rare event in binomial distribution ⋮ The use of uncertainty to choose matching variables in statistical matching ⋮ The Use of Uncertainty to Choose Matching Variables in Statistical Matching ⋮ On mathematical optimization for clustering categories in contingency tables ⋮ Unnamed Item ⋮ How should we assess the fit of Rasch-type models? Approximating the power of goodness-of-fit statistics in categorical data analysis ⋮ An extended GFfit statistic defined on orthogonal components of Pearson's chi-square ⋮ Unnamed Item ⋮ Analysis of residuals for the multinomial item response model ⋮ Optimal testing strategies for large, sparse multinomial models ⋮ Modification indices for the 2-PL and the nominal response model ⋮ Testing homogeneity of the multinomial proportions ⋮ Test-inversion confidence intervals for estimands in contingency tables subject to equality constraints

Cites Work

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• On maximum likelihood estimation in sparse contingency tables
• Log-linear models and frequency tables with small expected cell counts
• The analysis of cross-classified data having ordered and/or unordered categories: Association models, correlation models, and asymmetry models for contingency tables with or without missing entries
• Small-Sample Comparisons of Exact Levels for Chi-Squared Goodness-of-Fit Statistics
• Analysis of Categorical Data by Linear Models
• An Empirical Investigation of Goodness-of-Fit Statistics for Sparse Multinomials
• Association models and the bivariate normal for contingency tables with ordered categories
• Categorical Data Analysis: Some Reflections on the Log Linear Model and Logistic Regression. Part II: Data Analysis
• Power of the Noncentral F-Test: Effect of Additional Variates on Hotelling's T 2 -Test

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