Statistical reasoning in psychometric models and educational measurement
Andrich, D. (1989) Statistical reasoning in psychometric models and educational measurement. Journal of Educational Measurement, 26 (1). pp. 81-90.
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This paper explores three points raised by Divgi (1986) in order to explicate the important distinction between deterministic and statistical reasoning in the application of statistical models to educational measurement. The three issues concern the relationship between data and esimation equations, the distinction between parameters and parameter estimates, and the power of tests of fit of responses across the ability continuum.
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