文章基本信息

标题：Bivariate Distributions Underlying Responses to Ordinal Variables
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作者：Laura Kolbe ; Frans Oort ; Suzanne Jak 等
期刊名称：Psych
电子版ISSN：2624-8611
出版年度：2021
卷号：3
期号：4
页码：562-578
DOI：10.3390/psych3040037
语种：English
出版社：MDPI AG
摘要：The association between two ordinal variables can be expressed with a polychoric correlation coefficient. This coefficient is conventionally based on the assumption that responses to ordinal variables are generated by two underlying continuous latent variables with a bivariate normal distribution. When the underlying bivariate normality assumption is violated, the estimated polychoric correlation coefficient may be biased. In such a case, we may consider other distributions. In this paper, we aimed to provide an illustration of fitting various bivariate distributions to empirical ordinal data and examining how estimates of the polychoric correlation may vary under different distributional assumptions. Results suggested that the bivariate normal and skew-normal distributions rarely hold in the empirical datasets. In contrast, mixtures of bivariate normal distributions were often not rejected.