%0 Journal Article
%T Revised Parallel Analysis With Nonnormal Ability and a Guessing Parameter
%A Christine E. DeMars
%J Educational and Psychological Measurement
%@ 1552-3888
%D 2019
%R 10.1177/0013164418767009
%X 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
%K parallel analysis
%K dimensionality
%K item response theory
%K dichotomous
%U https://journals.sagepub.com/doi/full/10.1177/0013164418767009