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Lautenschlager, Gary J.; Park, Dong-Gun – 1987
The effects of variations in degree of range restriction and different subgroup sample sizes on the validity of several item bias detection procedures based on Item Response Theory (IRT) were investigated in a simulation study. The degree of range restriction for each of two subpopulations was varied by cutting the specified subpopulation ability…
Descriptors: Computer Simulation, Item Analysis, Latent Trait Theory, Mathematical Models
Hwang, Chi-en; Cleary, T. Anne – 1986
The results obtained from two basic types of pre-equatings of tests were compared: the item response theory (IRT) pre-equating and section pre-equating (SPE). The simulated data were generated from a modified three-parameter logistic model with a constant guessing parameter. Responses of two replication samples of 3000 examinees on two 72-item…
Descriptors: Computer Simulation, Equated Scores, Latent Trait Theory, Mathematical Models
Livingston, Samuel A. – 1984
Much previously published material for estimating the reliability of classification has been based on the assumption that a test consists of a known number of equally weighted items. The test score is the number of those items answered correctly. These methods cannot be used with classifications based on weighted composite scores, especially if…
Descriptors: Equated Scores, Essay Tests, Estimation (Mathematics), Mathematical Models
Samejima, Fumiko – 1986
Item analysis data fitting the normal ogive model were simulated in order to investigate the problems encountered when applying the three-parameter logistic model. Binary item tests containing 10 and 35 items were created, and Monte Carlo methods simulated the responses of 2,000 and 500 examinees. Item parameters were obtained using Logist 5.…
Descriptors: Computer Simulation, Difficulty Level, Guessing (Tests), Item Analysis
Frick, Theodore W. – 1986
The sequential probability ratio test (SPRT), developed by Abraham Wald, is one statistical model available for making mastery decisions during computer-based criterion referenced tests. The predictive validity of the SPRT was empirically investigated with two different and relatively large item pools with heterogeneous item parameters. Graduate…
Descriptors: Achievement Tests, Adaptive Testing, Classification, Comparative Analysis