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Direct linkHo, Andrew D.; Yu, Carol C. – Educational and Psychological Measurement, 2015
Many statistical analyses benefit from the assumption that unconditional or conditional distributions are continuous and normal. More than 50 years ago in this journal, Lord and Cook chronicled departures from normality in educational tests, and Micerri similarly showed that the normality assumption is met rarely in educational and psychological…
Descriptors: Statistics, Scores, Statistical Distributions, Tests
Download full textCai, 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
Bedwell, Michael – Teaching Statistics: An International Journal for Teachers, 2009
This article argues that the Normal distribution is often not a good model for anthropomorphic data.
Descriptors: Models, Statistical Distributions, Item Response Theory, Statistics
