Monte Carlo exact tests for log-linear and logistic models.

Forster, Jonathan J., McDonald, John W. and Smith, Peter W.F. (1996) Monte Carlo exact tests for log-linear and logistic models. Journal of the Royal Statistical Society. Series B (Methodological), 58, (2), 445-453.


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The form of the exact conditional distribution of a sufficient statistic for the interest parameters, given a sufficient statistic for the nuisance parameters, is derived for a generalized linear model with canonical link. General results for log-linear and logistic models are given. A Gibbs sampling approach for generating from the conditional distribution is proposed, which enables Monte Carlo exact conditional tests to be performed. Examples include tests for goodness of fit of the all-two-way interaction model for a 28-table and of a simple logistic model. Tests against non-saturated alternatives are also considered.

Item Type: Article
ISSNs: 0035-9246 (print)
Related URLs:
Subjects: Q Science > QA Mathematics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Statistics
ePrint ID: 29952
Accepted Date and Publication Date:
Date Deposited: 19 Mar 2007
Last Modified: 31 Mar 2016 11:56

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