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Cai, Li; Monroe, Scott – National Center for Research on Evaluation, Standards, and Student Testing (CRESST), 2014
We propose a new limited-information goodness of fit test statistic C[subscript 2] for ordinal IRT models. The construction of the new statistic lies formally between the M[subscript 2] statistic of Maydeu-Olivares and Joe (2006), which utilizes first and second order marginal probabilities, and the M*[subscript 2] statistic of Cai and Hansen…
Descriptors: Item Response Theory, Models, Goodness of Fit, Probability
Peer reviewed Peer reviewed
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Jance, Marsha; Thomopoulos, Nick – American Journal of Business Education, 2009
The extreme interval values and statistics (expected value, median, mode, standard deviation, and coefficient of variation) for the smallest (min) and largest (max) values of exponentially distributed variables with parameter ? = 1 are examined for different observation (sample) sizes. An extreme interval value g[subscript a] is defined as a…
Descriptors: Intervals, Statistics, Predictor Variables, Sample Size
Peer reviewed Peer reviewed
Scheuermann, Larry – Journal of Computers in Mathematics and Science Teaching, 1989
Provides a short BASIC program, RANVAR, which generates random variates for various theoretical probability distributions. The seven variates include: uniform, exponential, normal, binomial, Poisson, Pascal, and triangular. (MVL)
Descriptors: College Mathematics, Computer Software, Computer Uses in Education, Courseware