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Direct linkvan der Linden, Wim J. – Journal of Educational and Behavioral Statistics, 2019
Lord's (1980) equity theorem claims observed-score equating to be possible only when two test forms are perfectly reliable or strictly parallel. An analysis of its proof reveals use of an incorrect statistical assumption. The assumption does not invalidate the theorem itself though, which can be shown to follow directly from the discrete nature of…
Descriptors: Equated Scores, Testing Problems, Item Response Theory, Evaluation Methods
Peer reviewedvan der Linden, Wim J. – Psychometrika, 1998
Dichotomous item response theory (IRT) models can be viewed as families of stochastically ordered distributions of responses to test items. This paper explores several properties of such distributions, especially those related to transfer to other distributions. Results are formulated as a series of theorems and corollaries that apply to…
Descriptors: Item Response Theory, Responses, Statistical Distributions, Test Items
van der Linden, Wim J.; Sotaridona, Leonardo – Journal of Educational Measurement, 2004
A statistical test for the detection of answer copying on multiple-choice tests is presented. The test is based on the idea that the answers of examinees to test items may be the result of three possible processes: (1) knowing, (2) guessing, and (3) copying, but that examinees who do not have access to the answers of other examinees can arrive at…
Descriptors: Multiple Choice Tests, Test Items, Hypothesis Testing, Statistical Distributions
Peer reviewedvan der Linden, Wim J.; Luecht, Richard M. – Psychometrika, 1998
Derives a set of linear conditions of item-response functions that guarantees identical observed-score distributions on two test forms. The conditions can be added as constraints to a linear programming model for test assembly. An example illustrates the use of the model for an item pool from the Law School Admissions Test (LSAT). (SLD)
Descriptors: Equated Scores, Item Banks, Item Response Theory, Linear Programming
An Optimization Model for Test Assembly To Match Observed-Score Distributions. Research Report 94-7.
Download full textvan der Linden, Wim J.; Luecht, Richard M. – 1994
An optimization model is presented that allows test assemblers to control the shape of the observed-score distribution on a test for a population with a known ability distribution. An obvious application is for item response theory-based test assembly in programs where observed scores are reported and operational test forms are required to produce…
Descriptors: Ability, Foreign Countries, Heuristics, Item Response Theory
Veldkamp, Bernard P.; van der Linden, Wim J. – 1999
A method of item pool design is proposed that uses an optimal blueprint for the item pool calculated from the test specifications. The blueprint is a document that specifies the attributes that the items in the computerized adaptive test (CAT) pool should have. The blueprint can be a starting point for the item writing process, and it can be used…
Descriptors: Ability, Adaptive Testing, Classification, Computer Assisted Testing
