Nonparametric test in semiparametric analysis of covariance model for a crossover design with carryover effects
Almero, Leonard Allan F.
Nonparametric test in semiparametric analysis of covariance model for a crossover design with carryover effects / Leonard Allan F. Almero - Diliman, Quezon City : University of the Philippines Diliman ,2018. - ii, 64 leaves ; 29 x 20cm.
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.
Analysis of covariance
Crossover designs (Statistics)
Nonparametric test in semiparametric analysis of covariance model for a crossover design with carryover effects / Leonard Allan F. Almero - Diliman, Quezon City : University of the Philippines Diliman ,2018. - ii, 64 leaves ; 29 x 20cm.
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.
Analysis of covariance
Crossover designs (Statistics)