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ERIC Number: EJ971006
Record Type: Journal
Publication Date: 2012-Jul
Pages: 26
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0146-6216
EISSN: N/A
Evaluating EIV, OLS, and SEM Estimators of Group Slope Differences in the Presence of Measurement Error: The Single-Indicator Case
Culpepper, Steven Andrew
Applied Psychological Measurement, v36 n5 p349-374 Jul 2012
Measurement error significantly biases interaction effects and distorts researchers' inferences regarding interactive hypotheses. This article focuses on the single-indicator case and shows how to accurately estimate group slope differences by disattenuating interaction effects with errors-in-variables (EIV) regression. New analytic findings were presented along with simulation results to compare the relative bias, power, and Type I error rates of EIV, ordinary least squares (OLS), and sparse (i.e., single indicator) multigroup structural equation model (SEM) estimators of interaction effects in the presence of measurement error. The results suggest that EIV was less biased than were OLS and sparse SEM. Furthermore, OLS and sparse SEM were unable to control the Type I error rate for tests of slope differences in circumstances where groups differ in predictor reliability. Additional derivations examined the impact of using Cronbach's alpha, which is typically a lower bound for reliability, with EIV. The results provided evidence that using alpha does result in overcorrected EIV estimates and the bias in EIV estimates associated with using Cronbach's alpha increases with variability in item loadings and bias decreases as either test length or the average loading increases. The bias in EIV estimates when using alpha is not larger than the bias produced by using OLS or sparse SEM. In summary, the results provide compelling evidence that researchers should use EIV instead of OLS and sparse SEM to estimate group slope differences in the presence of measurement error. (Contains 9 figures and 2 notes.)
SAGE Publications. 2455 Teller Road, Thousand Oaks, CA 91320. Tel: 800-818-7243; Tel: 805-499-9774; Fax: 800-583-2665; e-mail: journals@sagepub.com; Web site: http://sagepub.com
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A