An exact and optimal standardized person test for assessing consistency with the rasch model |
| |
Authors: | Karl Christoph Klauer |
| |
Affiliation: | (1) Freie Universität Berlin, Germany;(2) FU Berlin, Institut für Psychologie, Habelschwerdter Allee 45, 1000 Berlin 33, FR Germany |
| |
Abstract: | The Rasch model predicts that an individual's ability level is invariant over subtests of the total test, and thus, all subtests measure the same latent trait. A person test of this invariance hypothesis is discussed that is uniformly most powerful and standardized in the sense that the conditional distribution of the test statistic, given a particular level of ability, does not depend on the absolute value of the examinee's ability parameter. The test can be routinely performed by applying a computer program designed by and obtainable from the author. Finally, a suboptimal test is derived that is extremely easy to use, and an overall group test of the invariance hypothesis discussed. All tests considered do not rely on asymptotic approximations; hence, they may be applied when the test is of only moderate length and the group of examinees is small. |
| |
Keywords: | item response theory person fit unidimensionality |
本文献已被 SpringerLink 等数据库收录! |
|