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Jones, Douglas H. – 1981
A mathematical setting based on a statistical sampling probability mechanism is described. In this setting, a mathematical meaning is given for the information function; and it becomes possible to study the relative merits of various ability-estimating procedures. The maximum likelihood estimation procedure under the one-, two-, three-parameter…
Descriptors: Ability Identification, Estimation (Mathematics), Latent Trait Theory, Mathematical Models
van der Linden, Wim J. – 1988
Several models for optimizing incomplete sample designs with respect to information on the item parameters are presented. The following cases are considered: (1) known ability parameters; (2) unknown ability parameters; (3) item sets with multiple ability scales; and (4) response models with multiple item parameters. The models are able to cope…
Descriptors: Ability Identification, Computer Assisted Testing, Elementary Education, Elementary School Students
Warm, Thomas A. – 1978
This primer is an introduction to item response theory (also called item characteristic curve theory, or latent trait theory) as it is used most commonly--for scoring multiple choice achievement or aptitude tests. Written for the testing practitioner with minimum training in statistics and psychometrics, it presents and illustrates the basic…
Descriptors: Ability Identification, Achievement Tests, Adaptive Testing, Aptitude Tests