Abstract

Chance success due to guessing is treated as a component of the error variance of a multiple-choice test score. It is shown that for a test of given item structure the minimum standard error of measurement can be estimated by the formula (N−X)/a. where N is the total number of items, X is the score, and a is the number of alternative choices per item. The significance of non-independence of true score and this component of error score on multiple-choice tests is discussed.

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