Tau-equivalence and equipercentile equating |
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Authors: | Wendy M Yen |
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Institution: | 1. CTB/McGraw-Hill, 2500 Garden Road, 93940, 93040, Monterey, California
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Abstract: | Test scores that are not perfectly reliable cannot be strictly equated unless they are strictly parallel Lord, 1980]. This fact implies that tau-equivalence can be lost if an equipercentile equating is applied to observed scores that are not strictly parallel. Seventy-two simulated testing conditions are produced to simulate equating tests with different difficulties and discriminations. Number-correct and trait metrics are examined. When an equipercentile equating is applied to these data, locally biased (i.e., non-tau-equivalent) results are produced for tests of unequal difficulty. Differences between the criteria of tau-equivalence and equipercentile equivalence are discussed. |
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