@inbook{1feadd5d043c417a86d4432c926ffdda,

title = "Don't Tie Yourself to an Onion: Don{\textquoteright}t Tie Yourself to Assumptions of Normality",

abstract = "A structural measurement model (Adams, Wilson, & Wu, 1997) consists of an item response theory model for responses conditional on ability and a structural model that describes the distribution of ability in the population. As a rule, ability is assumed to be normally distributed in the population. However, there are situations where there is reason to assume that the distribution of ability is nonnormal. In this paper, we show that nonnormal ability distributions are easily modeled in a Bayesian framework",

keywords = "Item Response Theory, one-parameter logistic model, finite mixture, Markov chain Monte Carlo, plausible values, IR-80205, Bayes estimates, Gibbs sampler",

author = "Maarten Marsman and Gunter Maris and Timo Bechger",

year = "2012",

doi = "10.3990/3.9789036533744.ch8",

language = "Undefined",

isbn = "9789036533744",

publisher = "RCEC",

pages = "103--114",

editor = "Eggen, {Theodorus Johannes Hendrikus Maria} and Veldkamp, {Bernard P.}",

booktitle = "Psychometrics in practice at RCEC",

}