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Bayesian Inference of the Cell Probabilities of a Two-Way Categorical Table Under Non Ignorability

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  • Balgobin Nandram

Abstract

Given data from a two-way categorical table, we show how to make inference about the cell probabilities using a Bayesian method when there is non ignorable non response. The problem is usually formulated with four sub-tables, one with the complete cases and the remaining three sub-tables with the incomplete cases. A recent Bayesian method has been used to ease the problem of over-parameterization, but as expected, there is loss in efficiency in estimating the cell probabilities. In a new Bayesian method we have collapsed the three tables with the incomplete cases into a single table. We use three examples and a simulation study to show the superiority of the second method over the first method.

Suggested Citation

  • Balgobin Nandram, 2009. "Bayesian Inference of the Cell Probabilities of a Two-Way Categorical Table Under Non Ignorability," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 38(16-17), pages 3015-3030, October.
    • Handle: RePEc:taf:lstaxx:v:38:y:2009:i:16-17:p:3015-3030
    DOI: 10.1080/03610920902947295
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