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Cui, Ying; Leighton, Jacqueline P. – Journal of Educational Measurement, 2009
In this article, we introduce a person-fit statistic called the hierarchy consistency index (HCI) to help detect misfitting item response vectors for tests developed and analyzed based on a cognitive model. The HCI ranges from -1.0 to 1.0, with values close to -1.0 indicating that students respond unexpectedly or differently from the responses…
Descriptors: Test Length, Simulation, Correlation, Research Methodology

Budescu, David – Journal of Educational Measurement, 1985
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)
Descriptors: Correlation, Equated Scores, Mathematical Models, Standardized Tests

Wainer, Howard; Kiely, Gerard L. – Journal of Educational Measurement, 1987
The testlet, a bundle of test items, alleviates some problems associated with computerized adaptive testing: context effects, lack of robustness, and item difficulty ordering. While testlets may be linear or hierarchical, the most useful ones are four-level hierarchical units, containing 15 items and partitioning examinees into 16 classes. (GDC)
Descriptors: Adaptive Testing, Computer Assisted Testing, Context Effect, Item Banks

Woodruff, David – Journal of Educational Measurement, 1991
Improvements are made on previous estimates for the conditional standard error of measurement in prediction, the conditional standard error of estimation (CSEE), and the conditional standard error of prediction (CSEP). Better estimates of how test length affects CSEE and CSEP are derived. (SLD)
Descriptors: Equations (Mathematics), Error of Measurement, Estimation (Mathematics), Mathematical Models

Roberts, Dennis M. – Journal of Educational Measurement, 1987
This study examines a score-difference model for the detection of cheating based on the difference between two scores for an examinee: one based on the appropriate scoring key and another based on an alternative, inappropriate key. It argues that the score-difference method could falsely accuse students as cheaters. (Author/JAZ)
Descriptors: Answer Keys, Cheating, Mathematical Models, Multiple Choice Tests