Revised Parallel Analysis with non-normal ability and a guessing parameter
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.
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DeMars, Christine E., "Revised Parallel Analysis with non-normal ability and a guessing parameter" (2019). Department of Graduate Psychology - Faculty Scholarship. 59.