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Educational and Psychological Measurement
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Relationships Between the Item Difficulty and Discrimination Indexes

Lewis R. Aiken

Pepperdine University, Malibu

The dependence of the item discrimination index (D) on the item difficulty index (p), and the relationship of D and p to the phi coefficient ({phi}) are delineated. A table of critical values of D for significance at the .10 and .05 levels, with the number of examinees in the upper group (n, ) on total test score ranging from 10 to 25 and p ranging from .10 to .90, is presented. This table may be used to determine an acceptable magnitude of D for a given p and n1 or to find whether a particular combination of p and D will yield a significant {phi}.

Educational and Psychological Measurement, Vol. 39, No. 4, 821-824 (1979)
DOI: 10.1177/001316447903900415
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