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Collapsibility of contingency tables based on conditional models

DSpace at IIT Bombay

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Title Collapsibility of contingency tables based on conditional models
 
Creator VELLAISAMY, P
VIJAY, V
 
Subject log-linear structures
contingency tables
model collapsibility
strict collapsibility
log-linear model
conditional log-linear models
layer models
hierarchical models
 
Description Strict collapsibility and model collapsibility are two important concepts associated with the dimension reduction of a multidimensional contingency table, without losing the relevant information, In this paper, we obtain some necessary and sufficient conditions for the strict collapsibility of the full model, with respect to an interaction factor or a set of interaction factors, based on the interaction parameters of the conditional layer log-linear models. For hierarchical log-linear models, we present also necessary and sufficient conditions for the full model to be model collapsible, based on the conditional interaction parameters. We discuss both the cases where one variable or a set of variables is conditioned. The connections between the strict collapsibility and the model collapsibility are also pointed out. Our results are illustrated through suitable examples, including a real life application. (C) 2009
 
Publisher ELSEVIER SCIENCE BV
 
Date 2011-07-24T13:24:18Z
2011-12-26T12:56:21Z
2011-12-27T05:44:54Z
2011-07-24T13:24:18Z
2011-12-26T12:56:21Z
2011-12-27T05:44:54Z
2010
 
Type Article
 
Identifier JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 140(5), 1243-1255
0378-3758
http://dx.doi.org/10.1016/j.jspi.2009.11.009
http://dspace.library.iitb.ac.in/xmlui/handle/10054/6437
http://hdl.handle.net/10054/6437
 
Language en