Generalized score tests for missing covariate data /

Bibliographic Details
Main Author: Jin, Lei
Other Authors: Wang, Suojin (Thesis advisor)
Format: Thesis eBook
Language:English
Published: [College Station, Tex.] : [Texas A&M University], [2010]
Subjects:
Online Access:Link to OAK Trust copy

MARC

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245 1 0 |a Generalized score tests for missing covariate data /  |c by Lei Jin. 
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500 |a "Major Subject: Statistics" 
500 |a Title from author supplied metadata (automated record created 2010-03-12 12:08:51). 
502 |b Doctor of Philosophy  |c Texas A&M University  |d 2007  |o http://hdl.handle.net/1969.1/ETD-TAMU-1625 
504 |a Includes bibliographical references. 
516 |a Text (Dissertation) 
520 3 |a In this dissertation, the generalized score tests based on weighted estimating equations are proposed for missing covariate data. Their properties, including the effects of nuisance functions on the forms of the test statistics and efficiency of the tests, are investigated. Different versions of the test statistic are properly defined for various parametric and semiparametric settings. Their asymptotic distributions are also derived. It is shown that when models for the nuisance functions are correct, appropriate test statistics can be obtained via plugging the estimates of the nuisance functions into the appropriate test statistic for the case that the nuisance functions are known. Furthermore, the optimal test is obtained using the relative efficiency measure. As an application of the proposed tests, a formal model validation procedure is developed for generalized linear models in the presence of missing covariates. The asymptotic distribution of the data driven methods is provided. A simulation study in both linear and logistic regressions illustrates the applicability and the finite sample performance of the methodology. Our methods are also employed to analyze a coronary artery disease diagnostic dataset. 
500 |a Electronic resource. 
650 4 |a Major statistics. 
653 |a Data driven method 
653 |a Generalized score test 
653 |a Goodness of fit 
653 |a Nuisance function 
653 |a Missing at random 
653 |a Weighted estimating equation. 
700 1 |a Wang, Suojin,  |e thesis advisor. 
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