Ordinal Versions of Coefficients Alpha and Theta for Likert Rating Scales
Ordinal Versions of Coefficients Alpha and Theta for Likert Rating Scales
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DOI：
10.22237/jmasm/1177992180
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发表时间：
2007-05-01
影响因子：
--
通讯作者：
Zeisser, Cornelia
中科院分区：
文献类型：
--
作者：
Zumbo, Bruno D.;Gadermann, Anne M.;Zeisser, Cornelia
引入了两个新的可靠性指标--序系数α和序系数θ。进行了模拟研究，以比较新的有序可靠性估计值彼此之间以及与Likert数据的系数α之间的差异。结果表明，顺序系数α和θ是一致的理论可靠性的适当估计，无论理论可靠性的大小，规模点的数量，和偏度的规模点分布。相反，系数α通常是可靠性的负偏估计。在基于李克特回答项目估计可靠性时，建议使用有序系数α和θ作为系数α的替代方案。两个序系数之间的选择取决于是否假设因子分析模型（序系数α）或主成分分析模型（序系数θ）。
Two new reliability indices, ordinal coefficient alpha and ordinal coefficient theta, are introduced. A simulation study was conducted in order to compare the new ordinal reliability estimates to each other and to coefficient alpha with Likert data. Results indicate that ordinal coefficients alpha and theta are consistently suitable estimates of the theoretical reliability, regardless of the magnitude of the theoretical reliability, the number of scale points, and the skewness of the scale point distributions. In contrast, coefficient alpha is in general a negatively biased estimate of reliability. The use of ordinal coefficients alpha and theta as alternatives to coefficient alpha when estimating the reliability based on Likert response items are recommended. The choice between the two ordinal coefficients depends on whether one is assuming a factor analysis model (ordinal coefficient alpha) or a principal components analysis model (ordinal coefficient theta).