DOI
10.17077/etd.caonwmhv
Document Type
Dissertation
Date of Degree
Fall 2010
Degree Name
PhD (Doctor of Philosophy)
Degree In
Psychological and Quantitative Foundations
First Advisor
Robert D. Ankenmann
Second Advisor
Robert L. Brennan
First Committee Member
Mary Kathryn Cowles
Second Committee Member
Deborah J Harris
Third Committee Member
Michael J Kolen
Abstract
This study investigated the extent to which rules proposed by Tong and Brennan (2007) for estimating standard errors of estimated variance components held up across a variety of G theory designs, variance component structures, sample size patterns, and data types. Simulated data was generated for all combinations of conditions, and point estimates, standard error estimates, and coverage for three types of confidence intervals were calculated for each estimated variance component and relative and absolute error variance across a variety of bootstrap procedures for each combination of conditions. It was found that, with some exceptions, Tong and Brennan's (2007) rules produced adequate standard error estimates for normal and polytomous data, while some of the results differed for dichotomous data. Additionally, some refinements to the rules were suggested with respect to nested designs. This study provides support for the use of bootstrap procedures for estimating standard errors of estimated variance components when data are not normally distributed.
Keywords
bootstrap, generalizability theory, standard error
Pages
xiv, 251 pages
Bibliography
Includes bibliographical references (pages 248-251).
Copyright
Copyright 2010 Joann Lynn Moore
Recommended Citation
Moore, Joann Lynn. "Estimating standard errors of estimated variance components in generalizability theory using bootstrap procedures." PhD (Doctor of Philosophy) thesis, University of Iowa, 2010.
https://doi.org/10.17077/etd.caonwmhv