期刊名称:Practical Assessment, Research and Evaluation
印刷版ISSN:1531-7714
电子版ISSN:1531-7714
出版年度:2012
卷号:17
期号:3
出版社:ERIC: Clearinghouse On Assessment and Evaluation
摘要:This paper provides a conceptual, empirical, and practical guide for estimating ordinal reliability coefficients
for ordinal item response data (also referred to as Likert, Likert-type, ordered categorical, or rating scale item
responses). Conventionally, reliability coefficients, such as Cronbach’s alpha, are calculated using a Pearson
correlation matrix. Ordinal reliability coefficients, such as ordinal alpha, use the polychoric correlation matrix
(Zumbo, Gadermann, & Zeisser, 2007). This paper presents (i) the theoretical-psychometric rationale for
using an ordinal version of coefficient alpha for ordinal data; (ii) a summary of findings from a simulation
study indicating that ordinal alpha more accurately estimates reliability than Cronbach’s alpha when data
come from items with few response options and/or show skewness; (iii) an empirical example from real data;
and (iv) the procedure for calculating polychoric correlation matrices and ordinal alpha in the freely available
software program R. We use ordinal alpha as a case study, but also provide the syntax for alternative
reliability coefficients (such as beta or omega).