DeMars Christine E
James Madison University, Harrisonburg, VA, USA.
Educ Psychol Meas. 2019 Feb;79(1):151-169. doi: 10.1177/0013164418767009. Epub 2018 Apr 1.
Previous work showing that revised parallel analysis can be effective with dichotomous items has used a two-parameter model and normally distributed abilities. In this study, both two- and three-parameter models were used with normally distributed and skewed ability distributions. Relatively minor skew and kurtosis in the underlying ability distribution had almost no effect on Type I error for unidimensional data and reduced power for two-dimensional data slightly with smaller sample sizes of 400. Using a two-parameter model on three-parameter data produced dramatically increased rejection rates for the unidimensional data. Using the correct three-parameter model reduced the unidimensional rejection rates but yielded lower power than the two-parameter data in some conditions.
先前的研究表明，修正平行分析对于二分项目是有效的，这些研究使用的是双参数模型和正态分布的能力。在本研究中，双参数模型和三参数模型都被用于正态分布和偏态能力分布。潜在能力分布中相对较小的偏度和峰度对一维数据的I型错误几乎没有影响，而对于二维数据，在样本量为400的较小样本情况下，会略微降低检验效能。在三参数数据上使用双参数模型会使一维数据的拒绝率大幅增加。使用正确的三参数模型会降低一维数据的拒绝率，但在某些情况下，其检验效能低于双参数数据。
