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13 Observed 14 Expected 15 items 3PL model Armed Services Vocational assessing the fit assumption computer-based testing conditional posterior distributions constrained right panels data set data with unknown discriminating power empirical study equality constraint exponential distribution Figure free left panels gamma distribution gamma prior Gelman interpretation IRT model item and person item parameters Items Number joint prior Linden logistic function lognormal model showed Markov chain means and standard misfit model for response model in IRT model upper panels multilevel model normal and lognormal normal data normal distribution normal model upper Number of Items number of persons observed response paper Parameter Estimates parameter structure person and item person parameters persons per item posterior predictive distributions practice of testing Prior Distributions response time distributions response times smaller response variables response-time distribution response-time model Roskam Schnipke and Scrams sect Services Vocational Aptitude speed parameter standard deviations tail test items unknown mean Weibull distribution