Binomial Error Models in Mental Testing

Author(s):

Lord, Frederic M.

Publication Year:

1969

Report Number:

RM-69-10

Source:

ETS Research Memorandum

Document Type:

Report

Page Count:

24

Subject/Key Words:

Office of Naval Research, Bayesian Statistics, Error of Measurement, Mathematical Models, Psychometrics, Test Theory

Abstract

A general model for the relation between fallible measurements and "true" measurements is outlined. This model is appropriate in many scientific areas. It leads to the empirical Bayes problem of estimating the frequency distribution of true measurements for a population of measured objects. A special case important in mental test theory is considered. Practical results obtained by one estimation procedure are briefly outlined.

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