Multinomial-Poisson homogeneous models for contingency tables.

DOI10.1214/aos/1079120140zbMath1105.62352OpenAlexW1995223682MaRDI QIDQ1884617

Joseph B. Lang

Publication date: 5 November 2004

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1079120140

zbMATH Keywords

estimabilitytestabilityequivalent modelsrestricted maximum likelihoodcategorical datasampling planlarge-sample inferenceapproximate normalityhomogeneous constrainthomogeneous statistic

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Contingency tables (62H17) Asymptotic properties of parametric tests (62F05)

Related Items (21)

Improved tests of independence in singly-ordered two-way contingency tables ⋮ The analysis of ordered categorical data: An overview and a survey of recent developments. (With discussion) ⋮ Marginal Nested Interactions for Contingency Tables ⋮ Poisson loglinear modeling with linear constraints on the expected cell frequencies ⋮ Mantel-Haenszel estimators of odds ratios for stratified dependent binomial data ⋮ A Gibbs Sampler for a Class of Random Convex Polytopes ⋮ Testing lumpability for marginal discrete hidden Markov models ⋮ Maximum likelihood estimation in log-linear models ⋮ Two-Way Classification of a Data Table with Non Negative Entries: The Role of the χ²Distance and Correspondence Analysis ⋮ A Comparison of Marginal and Conditional Models for Capture–Recapture Data with Application to Human Rights Violations Data ⋮ The Pearson Score Statistic for Multinomial-Poisson Models ⋮ Multivariate Tests Comparing Binomial Probabilities, with Application to Safety Studies for Drugs ⋮ Two Bayesian/frequentist challenges for categorical data analyses ⋮ A MANOVA test for multivariate lognormal observations with a spike at zero, with application to ecological niches of South Africa ⋮ Modelling two way contingency tables with recursive logits and odds ratios ⋮ A general class of recapture models based on the conditional capture probabilities ⋮ Simultaneous confidence intervals for comparing margins of multivariate binary data ⋮ Fast estimation algorithm for likelihood-based analysis of repeated categorical responses ⋮ Multinomial-Poisson models subject to inequality constraints ⋮ Test-inversion confidence intervals for estimands in contingency tables subject to equality constraints ⋮ Maximum Likelihood Estimation for Multinomial-Poisson Models: A Generalization of Birch's Numerical Invariance Results

Uses Software

• R
• SAS

Cites Work

• Maximum likelihood methods for a generalized class of log-linear models
• Marginal models for categorical data
• The Lagrangian Multiplier Test
• Maximum-Likelihood Estimation of Parameters Subject to Restraints
• Approximation Theorems of Mathematical Statistics
• Analysis of Categorical Data by Linear Models
• Testing for Pairwise Independence
• Inference for Poisson and multinomial models for capture-recapture experiments
• Two-Dimensional Contingency Tables with Both Completely and Partially Cross-Classified Data
• Log linear representation for paired and multiple comparisons models
• Simultaneously Modeling Joint and Marginal Distributions of Multivariate Categorical Responses
• Association-Marginal Modeling of Multivariate Categorical Responses: A Maximum Likelihood Approach
• An Application of Bradley-Terry-Type Models to the Measurement of Pain
• Contingency tables with given marginals
• Marginal Homogeneity of Multidimensional Contingency Tables
• A New Proof of the Pearson-Fisher Theorem
• Note on the Consistency of the Maximum Likelihood Estimate
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