Kuha, Jouni and Firth, D. (David). (2011) On the index of dissimilarity for lack of fit in loglinear and log-multiplicative models. Computational Statistics & Data Analysis, Vol.55 (No.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. (C) 2010 Elsevier B.V. All rights reserved.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics > QA76 Electronic computers. Computer science. Computer software Q Science > QA Mathematics
Divisions:	Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH):	Iterative methods (Mathematics), Mathematical models, Log-linear models, Sampling (Statistics), Probability measures
Journal or Publication Title:	Computational Statistics & Data Analysis
Publisher:	Elsevier Science Ltd
ISSN:	0167-9473
Date:	1 January 2011
Volume:	Vol.55
Number:	No.1
Number of Pages:	14
Page Range:	pp. 375-388
Identification Number:	10.1016/j.csda.2010.05.005
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	Economic and Social Research Council (Great Britain) (ESRC)
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URI:	http://wrap.warwick.ac.uk/id/eprint/4987

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