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Download full textMcKinley, Robert L.; Reckase, Mark D. – 1983
Item response theory (IRT) has proven to be a very powerful and useful measurement tool. However, most of the IRT models that have been proposed, and all of the models commonly used, require the assumption of unidimensionality, which prevents their application to a wide range of tests. The few models that have been proposed for use with…
Descriptors: Estimation (Mathematics), Latent Trait Theory, Mathematical Models, Maximum Likelihood Statistics
Reckase, Mark D.; McKinley, Robert L. – 1982
A class of multidimensional latent trait models is described. The properties of the model parameters, and initial results on the accuracy of a maximum likelihood procedure for estimating the model parameters are discussed. The model presented is a special case of the general model described by Rasch (1961), with close similarities to the models…
Descriptors: Correlation, Item Analysis, Latent Trait Theory, Mathematical Models
McKinley, Robert L.; Reckase, Mark D. – 1983
A two-stage study was conducted to compare the ability estimates yielded by tailored testing procedures based on the one-parameter logistic (1PL) and three-parameter logistic (3PL) models. The first stage of the study employed real data, while the second stage employed simulated data. In the first stage, response data for 3,000 examinees were…
Descriptors: Adaptive Testing, Computer Assisted Testing, Estimation (Mathematics), Item Banks
McKinley, Robert L.; Reckase, Mark D. – 1980
A study was conducted to compare the quality of the item parameter estimates obtained from the ANCILLES and LOGIST estimation procedures using goodness of fit as a criterion. Statistics used to compare the fit included a chi-square statistic and a mean square deviation statistic. Other analyses performed included comparisons of the distributions…
Descriptors: Comparative Analysis, Computer Programs, Difficulty Level, Goodness of Fit
Reckase, Mark D. – 1985
Work on item response theory was extended to two areas not extensively researched previously, including models for: (1) test items that require more than one ability for a correct response (MIRT); and (2) interaction between modules of instruction that have a hierarchical relationship (HST). In order to develop the MIRT and HST models, the author…
Descriptors: Instructional Development, Item Analysis, Latent Trait Theory, Mathematical Models
McKinley, Robert L.; Reckase, Mark D. – 1981
A study was conducted to compare tailored testing procedures based on a Bayesian ability estimation technique and on a maximum likelihood ability estimation technique. The Bayesian tailored testing procedure selected items so as to minimize the posterior variance of the ability estimate distribution, while the maximum likelihood tailored testing…
Descriptors: Academic Ability, Adaptive Testing, Bayesian Statistics, Comparative Analysis
Patience, Wayne M.; Reckase, Mark D. – 1979
An experiment was performed with computer-generated data to investigate some of the operational characteristics of tailored testing as they are related to various provisions of the computer program and item pool. With respect to the computer program, two characteristics were varied: the size of the step of increase or decrease in item difficulty…
Descriptors: Adaptive Testing, Computer Assisted Testing, Difficulty Level, Error of Measurement
