Sequential category aggregation and partitioning approaches for multi-way contingency tables based on survey and census data

DOI10.1214/08-AOAS175zbMath1149.62049arXiv0811.1686MaRDI QIDQ958326

Alistair G. Gray, Stephen E. Fienberg, L. Fraser Jackson

Publication date: 3 December 2008

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

Full work available at URL: https://arxiv.org/abs/0811.1686

zbMATH Keywords

collapsibilitySimpson's paradoxKullback-Leibler distancelog-linear modelinglevel mergingpartitioning informationreducing dimensionality

Mathematics Subject Classification ID

Sequential statistical methods (62L99) Contingency tables (62H17) Statistical aspects of information-theoretic topics (62B10)

Related Items (1)

Decomposition and Model Selection for Large Contingency Tables

Uses Software

• DIGRAM

Cites Work

• Ignorability and coarse data
• Elements of statistical disclosure control
• Three centuries of categorical data analysis: Log-linear models and maximum likelihood estima\-tion
• Ignorability for categorical data
• A Single General Method for the Analysis of Cross-Classified Data: Reconciliation and Synthesis of Some Methods of Pearson, Yule, and Fisher, and Also Some Methods of Correspondence Analysis and Association Analysis
• Collapsibility and response variables in contingency tables
• On the Application of Conditional Independence to Ordinal Data
• Model Determination for Categorical Data With Factor Level Merging
• The Analysis of Cross-Classified Data: Independence, Quasi-Independence, and Interactions in Contingency Tables with or Without Missing Entries
• The Analysis of Multidimensional Contingency Tables: Stepwise Procedures and Direct Estimation Methods for Building Models for Multiple Classifications
• THE COMBINATION OF PROBABILITIES ARISING FROM DATA IN DISCRETE DISTRIBUTIONS
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