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Autor/inn/enXiao, Leifeng; Hau, Kit-Tai
TitelPerformance of Coefficient Alpha and Its Alternatives: Effects of Different Types of Non-Normality
QuelleIn: Educational and Psychological Measurement, 83 (2023) 1, S.5-27 (23 Seiten)Infoseite zur Zeitschrift
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ZusatzinformationORCID (Xiao, Leifeng)
Spracheenglisch
Dokumenttypgedruckt; online; Zeitschriftenaufsatz
ISSN0013-1644
DOI10.1177/00131644221088240
SchlagwörterStatistical Bias; Statistical Analysis; Likert Scales; Statistical Distributions; Test Reliability; Test Construction; Sample Size; Evaluation Criteria; Foreign Countries; Achievement Tests; International Assessment; Correlation; Scores; Program for International Student Assessment
AbstractWe examined the performance of coefficient alpha and its potential competitors (ordinal alpha, omega total, Revelle's omega total [omega RT], omega hierarchical [omega h], greatest lower bound [GLB], and coefficient "H") with continuous and discrete data having different types of non-normality. Results showed the estimation bias was acceptable for continuous data with varying degrees of non-normality when the scales were strong (high loadings). This bias, however, became quite large with moderate strength scales and increased with increasing non-normality. For Likert-type scales, other than omega h, most indices were acceptable with non-normal data having at least four points, and more points were better. For different exponential distributed data, omega RT and GLB were robust, whereas the bias of other indices for binomial-beta distribution was generally large. An examination of an authentic large-scale international survey suggested that its items were at worst moderately non-normal; hence, non-normality was not a big concern. We recommend (a) the demand for continuous and normally distributed data for alpha may not be necessary for less severely non-normal data; (b) for severely non-normal data, we should have at least four scale points, and more points are better; and (c) there is no single golden standard for all data types, other issues such as scale loading, model structure, or scale length are also important. (As Provided).
AnmerkungenSAGE 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: https://sagepub.com
Erfasst vonERIC (Education Resources Information Center), Washington, DC
Update2024/1/01
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