On the index of dissimilarity for lack of fit in log-linear and log-multiplicative models

Kuha, J and Firth, D (2011) On the index of dissimilarity for lack of fit in log-linear and log-multiplicative models. Computational Statistics and Data Analysis, 55 (1). pp. 375-388. ISSN 0167-9473

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Abstract

The index of dissimilarity, often denoted by Delta, is commonly used, especially in social science and with large datasets, to describe the lack of fit of models for categorical data. The definition and sampling properties of the index for general loglinear and log-multiplicative models are investigated. It is argued that in some applications a standardized version of the index is appropriate for interpretation. A simple, approximate variance formula is derived for the index, whether standardized or not. A simple bias reduction formula is also given. The accuracy of these formulae and of confidence intervals based upon them is investigated in a simulation study based on large-scale social mobility data.

Item Type:Article
Uncontrolled Keywords:bias reduction; delta; iterative proportional fitting; model selection; raking; stratified sampling; total variation distance
Subjects:5. Quantitative Data Handling and Data Analysis > 5.17 Quantitative Approaches (other)
ID Code:1326
Deposited By: L-W-S user
Deposited On:31 Mar 2011 07:08
Last Modified:09 Feb 2012 15:08

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