Wind Stefanie A
The University of Alabama, Tuscaloosa, AL, USA.
Educ Psychol Meas. 2022 Aug;82(4):747-756. doi: 10.1177/00131644211045347. Epub 2021 Sep 13.
Researchers frequently use Mokken scale analysis (MSA), which is a nonparametric approach to item response theory, when they have relatively small samples of examinees. Researchers have provided some guidance regarding the minimum sample size for applications of MSA under various conditions. However, these studies have not focused on item-level measurement problems, such as violations of monotonicity or invariant item ordering (IIO). Moreover, these studies have focused on problems that occur for a complete sample of examinees. The current study uses a simulation study to consider the sensitivity of MSA item analysis procedures to problematic item characteristics that occur within limited ranges of the latent variable. Results generally support the use of MSA with small samples ( around 100 examinees) as long as multiple indicators of item quality are considered.
当研究者拥有相对较少的受测者样本时，他们经常使用莫肯量表分析（MSA），这是一种项目反应理论的非参数方法。研究者针对各种条件下MSA应用的最小样本量提供了一些指导。然而，这些研究并未关注项目层面的测量问题，比如单调性的违背或项目顺序不变性（IIO）。此外，这些研究关注的是受测者完整样本中出现的问题。当前的研究采用模拟研究来考量MSA项目分析程序对潜在变量有限范围内出现的有问题项目特征的敏感性。结果总体上支持在考虑多个项目质量指标的情况下，对小样本（约100名受测者）使用MSA。
