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ANALYSIS OF MORTALITY RATES VIA MARGINAL EXTENDED QUASI‐LIKELIHOOD
Author(s) -
LU WANGSHU,
TSUTAKAWA ROBERT K.
Publication year - 1996
Publication title -
statistics in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.996
H-Index - 183
eISSN - 1097-0258
pISSN - 0277-6715
DOI - 10.1002/(sici)1097-0258(19960715)15:13<1397::aid-sim272>3.0.co;2-6
Subject(s) - marginal likelihood , statistics , bayes' theorem , poisson regression , likelihood function , poisson distribution , variance function , quasi likelihood , variance (accounting) , mathematics , econometrics , regression analysis , maximum likelihood , bayesian probability , count data , medicine , population , environmental health , accounting , business
We use a mixed Poisson regression model with extra variation to analyse mortality data cross‐classified by age and geographic region. We use estimates of dispersion parameter and fixed effects parameters, obtained by maximizing a marginal quasi‐likelihood function, to estimate mortality rates in an empirical Bayes manner. This is a modification of an earlier method by Tsutakawa that used the likelihood function and is computationally impractical for routine use. In order to apply the extended quasi‐likelihood function, a linear variance function (of the mean) is used in place of a quadratic one used previously. We illustrate the method with male lung cancer deaths in the state of Missouri.