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Nonparametric test in semiparametric analysis of covariance model for a crossover design with carryover effects / Leonard Allan F. Almero

By: Material type: TextTextPublication details: Diliman, Quezon City : University of the Philippines Diliman ,2018. Description: ii, 64 leaves ; 29 x 20cmSubject(s): Online resources: Abstract: A semiparametric mixed analysis of covariance model for a crossover design with carryover effects is postulated. A hybrid of restricted maximum likelihood estimation and smoothing splines regression are imbedded into the backfitting algorithm is used to estimate the model. The responses are adjusted for covariate effect through a nonparametric function of the covariates. Simulation study indicates that a bootstrap-based test for variance components is correctly-sized for variance components. The test is powerful in testing for variance component and relatively robust to the magnitude of variance in the alternative hypothesis. Furthermore, the test is advantageous over ordinary analysis of covariance in the presence of misclassification error and in non-normal error on unbalanced data.
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Item type Current library Collection Call number Status Date due Barcode
CHED Funded Research CHED Funded Research Commission on Higher Education CHED Funded research LG 995 2018 C6 A46 (Browse shelf(Opens below)) Storage Area CHEDFR-000344
CHED Funded Research CHED Funded Research Commission on Higher Education Digital Thesis and Dissertation Digital Thesis and Dissertation LG 995 2018 C6 A46 (Browse shelf(Opens below)) Available DCHEDFR-000091

Thesis (Master of Science in Statistics) -- University of the Philippines Diliman, June 2018.

A semiparametric mixed analysis of covariance model for a crossover design with
carryover effects is postulated. A hybrid of restricted maximum likelihood estimation and
smoothing splines regression are imbedded into the backfitting algorithm is used to estimate
the model. The responses are adjusted for covariate effect through a nonparametric function of
the covariates. Simulation study indicates that a bootstrap-based test for variance components
is correctly-sized for variance components. The test is powerful in testing for variance
component and relatively robust to the magnitude of variance in the alternative hypothesis.
Furthermore, the test is advantageous over ordinary analysis of covariance in the presence of
misclassification error and in non-normal error on unbalanced data.

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