Collapsibility of regression coefficients and its extensions
DSpace at IIT Bombay
View Archive InfoField | Value | |
Title |
Collapsibility of regression coefficients and its extensions
|
|
Creator |
VELLAISAMY, P
VIJAY, V |
|
Subject |
contingency-tables
linear-models marginalization a-collapsibility cg-distribution conditional independence collapsibility generalized linear model linear regression logistic regression coefficients poisson regression coefficients random coefficient regression models strong collapsibility |
|
Description |
Collapsibility with respect to a measure of association implies that the measure of association can be obtained from the marginal model. We first discuss model collapsibility and collapsibility with respect to regression coefficients for linear regression models. For parallel regression models, we give simple and different proofs of some of the known results and obtain also certain new results. For random coefficient regression models, we define (average) A-collapsibility and obtain conditions under which it holds. We consider Poisson regression and logistic regression models also, and derive conditions for collapsibility and A-collapsibility, respectively. These results generalize some of the results available in the literature. Some suitable examples are also discussed. (C) 2007
|
|
Publisher |
ELSEVIER SCIENCE BV
|
|
Date |
2011-07-24T13:27:07Z
2011-12-26T12:56:30Z 2011-12-27T05:45:20Z 2011-07-24T13:27:07Z 2011-12-26T12:56:30Z 2011-12-27T05:45:20Z 2008 |
|
Type |
Article
|
|
Identifier |
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 138(4), 982-994
0378-3758 http://dx.doi.org/10.1016/j.jspi.2007.03.052 http://dspace.library.iitb.ac.in/xmlui/handle/10054/6438 http://hdl.handle.net/10054/6438 |
|
Language |
en
|
|