Model selection with the linear mixed effects model for longitudinal data

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Model selection with the linear mixed effects model for longitudinal data

Model Selection with the Linear Mixed Effects Model forLongitudinal DataA DISSERTATIONSUBMITTED TO THE FACULTY OF THE GRADUATE SCHOOL OF THE UNIVERSIT

Model selection with the linear mixed effects model for longitudinal data TY OF MINNESOTABYJi Hoon RyooIN PARTIAL FULFILLMENT OF THE REQUIREMENTS FOR THE DEGREE OF DOCTOR OF PHILOSOPHYJeffrey D. Long. Adviser40330Acknowledge

mentsÍ would like lo express die deepest appreciation to my advisor. Professor Jeffrey D. Long, who has the altitude and the substance of a genius: he Model selection with the linear mixed effects model for longitudinal data

continually and convincingly conveyed a spirit of adventure in regard to research and scholarship. Without his guidance and persistent help this diss

Model selection with the linear mixed effects model for longitudinal data

ertation would not have been possible.1 w ould like to thank my committee members. Professors Michael R. Harw ell. Mark L. Davison, and Melanie M. Wal

Model Selection with the Linear Mixed Effects Model forLongitudinal DataA DISSERTATIONSUBMITTED TO THE FACULTY OF THE GRADUATE SCHOOL OF THE UNIVERSIT

Model selection with the linear mixed effects model for longitudinal data hank you to Professor Joan B. Garfield w ho introduced me statisticseducation, and whose enthusiasm for teaching had lasting effect on my teaching.htt

ps://khothuvien.cori!DedicationThis dissertation would be incomplete without a mention of the support given me by my wife. So Young Park, and my son. Model selection with the linear mixed effects model for longitudinal data

I lyun Suk Ryoo. to whom this dissertation is dedicated.iiAbstractModel building or model selection with linear mixed models (LMM) is complicated by (

Model selection with the linear mixed effects model for longitudinal data

he presence of both fixed effects and random effects. The fixed effects structure and random effects structure are co-dependent, so selection of one i

Model Selection with the Linear Mixed Effects Model forLongitudinal DataA DISSERTATIONSUBMITTED TO THE FACULTY OF THE GRADUATE SCHOOL OF THE UNIVERSIT

Model selection with the linear mixed effects model for longitudinal data variance matrix of the random effects is assumed to be positive definite with non-zero values for the variances. When (he number of fixed effects and

random effects is not known, the predominant approach to model building is a step-up procedure in which one starts with a limited model (e.g.. few fix Model selection with the linear mixed effects model for longitudinal data

ed and random intercepts) and then additional fixed effects and random effects are added based on statistical tests.A procedure that has received less

Model selection with the linear mixed effects model for longitudinal data

attention in psychology and education is top-down model building. In the top-down procedure, (he initial model has a single random intercept but is l

Model Selection with the Linear Mixed Effects Model forLongitudinal DataA DISSERTATIONSUBMITTED TO THE FACULTY OF THE GRADUATE SCHOOL OF THE UNIVERSIT

Model selection with the linear mixed effects model for longitudinal data fects is determined. Once the number of random effects is selected, the fixed effects are tested IO see if any can be omitted from (he model.There has

been little if any examination of the ability of these procedures to identify a true population model (Ĩ.C.. identifying a model that generated the d Model selection with the linear mixed effects model for longitudinal data

ata). The purpose of this dissertation is to examine the performance of the various model building procedures for exploratory,' longitudinal data anal

Model selection with the linear mixed effects model for longitudinal data

ysis. Exploratory refers to the situation in which the correct number of fixed effects and random effects is unknown before the analysis.iiiContentsAc

Model Selection with the Linear Mixed Effects Model forLongitudinal DataA DISSERTATIONSUBMITTED TO THE FACULTY OF THE GRADUATE SCHOOL OF THE UNIVERSIT

Model selection with the linear mixed effects model for longitudinal data ......... 71.2Literature Review...................................................... 91.2.1Model building procedure..................................

..... 91.2.2Variable selection............................................ 13 Model selection with the linear mixed effects model for longitudinal data

Model Selection with the Linear Mixed Effects Model forLongitudinal DataA DISSERTATIONSUBMITTED TO THE FACULTY OF THE GRADUATE SCHOOL OF THE UNIVERSIT