Abstract Details
Activity Number:
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432
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Type:
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Contributed
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Date/Time:
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Tuesday, August 6, 2013 : 2:00 PM to 3:50 PM
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Sponsor:
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International Chinese Statistical Association
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Abstract - #309110 |
Title:
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Information Identity in Categorical Data Analysis
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Author(s):
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Philip Cheng*+ and Michelle Liou
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Companies:
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Institute of Statistical Science and Academia Sinica
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Keywords:
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Information identity ;
logistic regression ;
Mantel-Haenszel test
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Abstract:
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We proposed the information identity and partition the mutual information of categorical variables into orthogonal and interpretable components. In this study, we will apply the information identity to a few real empirical examples. In these examples, we show that the information identity presents a few useful aspects. It measures conditional association between three categorical variables, as compared with the conventional and generalized Mantel-Haenszel statistics. And, it models multivariate categorical variables, as a concise alternative to the conventional hierarchical log-linear model and the logistic regression analysis. The data sets in the empirical examples are those reported in Lahkola et al. (2005), Azen & Walker (2011) and item responses on a mathematics achievement examination.
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Authors who are presenting talks have a * after their name.
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