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Peer reviewedThayer, Dorothy T. – Psychometrika, 1983
Estimation techniques for generating the covariance matrix for two new tests and an existing test without the necessity of any examinee having to take two complete tests is presented. An application of these techniques to linear, observed-score, test equating is presented. (Author/JKS)
Descriptors: Correlation, Equated Scores, Estimation (Mathematics), Matrices
Peer reviewedWilson, Mark; Masters, Geoffery N. – Psychometrika, 1993
A strategy is described for dealing with measurement situations in which certain categories of responses are null, that is, persons do not respond in certain categories to certain items. The method is described for the partial credit model while maintaining the integrity of the original response framework. (SLD)
Descriptors: Equations (Mathematics), Estimation (Mathematics), Item Response Theory, Mathematical Models
Jones, Douglas H.; And Others – 1984
How accurately ability is estimated when the test model does not fit the data is considered. To address this question, this study investigated the accuracy of the maximum likelihood estimator of ability for the one-, two- and three-parameter logistic (PL) models. The models were fitted into generated item characteristic curves derived from the…
Descriptors: Ability, Aptitude Tests, Error of Measurement, Estimation (Mathematics)
Smith, Richard M. – 1983
Measurement disturbances, such as guessing, startup, and plodding, often result in an examinee's ability being either over- or under-estimated by the maximum likelihood estimation employed in latent trait psychometric models. Several authors have suggested methods to lessen the impact of unexpected responses on the ability estimation process. This…
Descriptors: Difficulty Level, Error of Measurement, Estimation (Mathematics), Goodness of Fit
Xiao, Beiling – 1990
Dichotomous search strategies (DSSs) for computerized adaptive testing are similar to golden section search strategies (GSSSs). Each middle point of successive search regions is a testing point. After each item is administered, the subject's obtained score is compared with the expected score at successive testing points. If the subject's obtained…
Descriptors: Ability Identification, Adaptive Testing, Computer Assisted Testing, Equations (Mathematics)
Waller, Michael I. – 1986
This study compares the fit of the 3-parameter model to the Ability Removing Random Guessing (ARRG) model on data from a wide range of tests of cognitive ability in three representative samples. When the guessing parameters under the 3-parameter model are estimated individually for each item, the 3-parameter model yields the better fit to…
Descriptors: Cognitive Tests, Cohort Analysis, Elementary Secondary Education, Equations (Mathematics)


