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

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

Share

COinS