A quick and easy empirical Bayes estimate of true scores

RIS ID

73606

Publication Details

Cressie, N. A. (1979). A quick and easy empirical Bayes estimate of true scores. Sankhya: The Indian Journal of Statistics, 41 (1-2), 101-108.

Abstract

Suppose we are examining a population using a questionnaire containing n questions, marked right or wrong. Let $x_{1},\ldots ,x_{N}$ denote the number of questions scored right by N of the population (observed scores). When a new examinee from the population comes to us, we wish to use his observed score x, and the previous information $x_{1},\ldots ,x_{N}$ to discover his true score. An empirical Bayes method is given which we recommend as a quick exploratory tool in the true scores estimation problem.

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