Download the full-sized PDF of Evaluating the Performance of the Uncorrected and Corrected Reliability Alpha for Range Restriction and the Confidence Intervals in a Single and Meta-Analytic StudyDownload the full-sized PDF


Download  |  Analytics

Export to: EndNote  |  Zotero  |  Mendeley


This file is in the following communities:

Faculty of Graduate Studies and Research


This file is not currently in any collections.

Evaluating the Performance of the Uncorrected and Corrected Reliability Alpha for Range Restriction and the Confidence Intervals in a Single and Meta-Analytic Study Open Access


Other title
Range restriction
Type of item
Degree grantor
University of Alberta
Author or creator
Li, Johnson C. H.
Supervisor and department
Cui, Ying (Educational Psychology)
Examining committee member and department
Cheung, Mike (Psychology)
Abbott, Marilyn (Educational Psychology)
Gierl, Mark (Educational Psychology)
Mou, Weimin (Psychology)
Poth, Cheryl (Educational Psychology)
Cui, Ying (Educational Psychology)
Department of Educational Psychology
Measurement, Evaluation and Cognition
Date accepted
Graduation date
Doctor of Philosophy
Degree level
Range restriction has long been a methodological problem in educational and psychological research (Hunter & Schmidt, 2004), and this usually leads to a downward-biased estimate of a statistic. Even though much research has examined the performance of Pearson’s correlation under range restriction in both single and meta-analytic studies (e.g., Li, Chan, & Cui, 2011a), the assessment of reliability coefficients (e.g., coefficient alpha) under range restriction is relatively limited. Regarding a single study, Fife, Mendoza, and Terry’s (2012) have recently examined the performance of the uncorrected and bias-corrected coefficient alpha; as an extension, the performance of the confidence intervals (CIs) and widths also need to be examined. Regarding a meta-analytic study, Rodriguez and Maeda (2006) have proposed a framework for conducting a meta-analysis of coefficient alpha; as an extension, the accuracy of the bias-corrected mean alpha as well as the associated CIs also need to be evaluated. In light of these unexamined issues, this dissertation sought to evaluate the performance of the uncorrected and bias-corrected alphas—as well as their CI—in both single and meta-analytic study research situations. This provides a comprehensive assessment of reliability under range restriction, thereby providing guidelines about the treatment of biases that come from range restriction. The Monte Carlo results showed that the uncorrected alpha suffered as a function of the selection ratio and the correlation between the test and the selection variable in both single and meta-analytic studies. By contrast, the bias-corrected alpha could adjust for the bias appropriately. Moreover, the bootstrap CIs constructed for the bias-adjusted alpha in both single and meta-analytic studies were generally accurate across different simulation conditions, including sample size, item number, etc. Application of the correction procedure and CI construction in a real study is demonstrated. Based on these results, conclusions, discussions, and recommendations are also presented.
Permission is hereby granted to the University of Alberta Libraries to reproduce single copies of this thesis and to lend or sell such copies for private, scholarly or scientific research purposes only. Where the thesis is converted to, or otherwise made available in digital form, the University of Alberta will advise potential users of the thesis of these terms. The author reserves all other publication and other rights in association with the copyright in the thesis and, except as herein before provided, neither the thesis nor any substantial portion thereof may be printed or otherwise reproduced in any material form whatsoever without the author's prior written permission.
Citation for previous publication

File Details

Date Uploaded
Date Modified
Audit Status
Audits have not yet been run on this file.
File format: pdf (Portable Document Format)
Mime type: application/pdf
File size: 1732639
Last modified: 2015:10:12 13:11:57-06:00
Filename: Li_Johnson Ching Hong_Spring 2013.pdf
Original checksum: 12365c61e19c25512f4babc1ffc7370e
Well formed: true
Valid: true
File author: Johnson
Page count: 168
File language: en-CA
Activity of users you follow
User Activity Date