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An alternative approach for item response theoryobserved-score equating is described. The number-correctscore distributions needed in equating are foundby numerical integration over the theoretical or empiricaldistributions of examinees’ traits. The item responsetheory true-score equating method and the observed-scoreequating method described by Lord, in which thenumber-correct score distributions are summed over asample of trait estimates, are compared in a real testexample. In a computer simulation, the observed-scoreequating methods based on numerical integration andsummation were compared using data generated fromstandard normal and skewed populations. The methodbased on numerical integration was found to be lessbiased, especially at the two ends of the score distribution.This method can be implemented without the needto estimate trait level for individual examinees, and it isless computationally intensive than the method based onsummation. Index terms: equating, item responsetheory, numerical integration, observed-score equating

An Alternative Approach for IRT Observed-Score Equating of Number-Correct Scores