This article explores the amount of equating error at a passing score when equating scores from exams with small samples sizes. This article focuses on equating using classical test theory methods of Tucker linear, Levine linear, frequency estimation, and chained equipercentile equating. Both simulation and real data studies were used in the…

This article is a response to the commentaries on the position paper on observed-score equating by van der Linden (this issue). The response focuses on the more general issues in these commentaries, such as the nature of the observed scores that are equated, the importance of test-theory assumptions in equating, the necessity to use multiple…

While agreeing with van der Linden (this issue) that test equating needs better theoretical underpinnings, my comments criticize several aspects of his article. His examples are, for the most part, worthless; he does not use well-established terminology correctly; his view of 100 years of attempts to give a theoretical basis for equating is…

In spite of all of the technical progress in observed-score equating, several of the more conceptual aspects of the process still are not well understood. As a result, the equating literature struggles with rather complex criteria of equating, lack of a test-theoretic foundation, confusing terminology, and ad hoc analyses. A return to Lord's…

An important determinant of equating process efficiency is the correlation between the anchor test and components of each form. Use of some monotonic function of this correlation as a measure of equating efficiency is suggested. A model relating anchor test length and test reliability to this measure of efficiency is presented. (Author/DWH)

This paper discusses various issues involved in using the Rasch Model with multiple-choice tests and questions the suitability of this model for multiple-choice items. Results of some past studies supporting the model are shown to be irrelevant. The effects of the model's misfit on test equating are demonstrated. (Author JAZ)

Linear conversions were developed relating scores on recent forms of the Graduate Record Examinations. Conversions based on specially selected subpopulations were compared with total-group conversions and evaluated. Conclusions indicated that the data clearly support the assumption of population independence for homogenoeous tests, but not quite…

Five methods of equating minimum-competency tests were compared using the Florida Statewide Student Assessment Test, Part II, for 1984 and 1986. Four of five methods yielded essentially comparable results for the highest scoring 84% of the students. Different lengths of anchor items were compared, using the concurrent item response theory equating…

Two data collection designs, counterbalanced and spiraling (Angoff's Design I and Angoff's Design II) were compared using item response theory and equipercentile equating methodology in the vertical equating of 2 mathematics achievement tests using 1,000 eleventh graders and 1,000 twelfth graders. The greater stability of Design II is discussed.…