This study describes a structural equation modeling (SEM) approach to reliability for tests with items having different numbers of ordered categories. A simulation study is provided to compare the performance of this reliability coefficient, coefficient alpha and population reliability for tests having items with different numbers of ordered categories, a one-factor and a bifactor structures, and different skewness distributions of test scores. Results indicated that the proposed reliability coefficient was close to the population reliability in most conditions. An empirical example was used to illustrate the performance of the different coefficients for a test of items with two or three ordered categories.

中文翻译：

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具有不同数量的已排序类别的项目的测试的可靠性。

这项研究描述了一种结构方程模型（SEM）方法，该方法可用于对具有不同数量的有序类别的项目进行测试。提供了一个仿真研究来比较此可靠性系数，系数α和总体可靠性的性能，该测试具有具有不同数量的有序类别，单因素和双因素结构以及测试分数的偏度分布的项目。结果表明，所提出的可靠性系数在大多数情况下都接近总体可靠性。使用一个经验示例来说明测试具有两个或三个有序类别的项目时不同系数的性能。