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Smith, Richard M. – 1981
In all latent trait models there is an equation which describes the probabilistic outcome of the interaction of a person with a known ability and an item with a known difficulty. This modeled outcome can be compared to the observed outcome, and the residuals can be summed over the items to assess the fit of the person to the model. Various…
Descriptors: Algebra, Error of Measurement, Goodness of Fit, Guessing (Tests)
Smith, Richard M.; Mitchell, Virginia P. – 1980
To analyze test item and person interactions according to the Rasch Model, 822 incoming community college freshman were administered the New Jersey Basic Skills Placement Test. The Logical Relationships and Elementary Algebra subtests were chosen to examine the effect of differing average item difficulty on descriptions of fit statistics and on…
Descriptors: Achievement Tests, Computer Oriented Programs, Difficulty Level, Goodness of Fit
