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Download full textReckase, Mark D.; McKinley, Robert L. – 1984
The purpose of this paper is to present a generalization of the concept of item difficulty to test items that measure more than one dimension. Three common definitions of item difficulty were considered: the proportion of correct responses for a group of individuals; the probability of a correct response to an item for a specific person; and the…
Descriptors: Difficulty Level, Item Analysis, Latent Trait Theory, Mathematical Models
McKinley, Robert L.; Reckase, Mark D. – 1984
To assess the effects of correlated abilities on test characteristics, and to explore the effects of correlated abilities on the use of a multidimensional item response theory model which does not explicitly account for such a correlation, two tests were constructed. One had two relatively unidimensional subsets of items, the other had all…
Descriptors: Ability, Correlation, Factor Structure, Item Analysis
PDF pending restorationReckase, Mark D.; McKinley, Robert L. – 1984
A new indicator of item difficulty, which identifies effectiveness ranges, overcomes the limitations of other item difficulty indexes in describing the difficulty of an item or a test as a whole and in aiding the selection of appropriate ability level items for a test. There are three common uses of the term "item difficulty": (1) the probability…
Descriptors: Difficulty Level, Evaluation Methods, Item Analysis, Latent Trait Theory
Mills, Craig N.; McKinley, Robert L. – 1984
A study was conducted to evaluate six goodness-of-fit procedures using data simulation techniques. The procedures evaluated included the weighted average absolute deviation (WAAD), the mean absolute deviation (MAD), Bock's chi-square (BCHI), Yen's chi-square (YCHI), Wright and Mead's chi-square (WCHI), and the likelihood ratio chi-square (LCHI)…
Descriptors: Analysis of Variance, Data Analysis, Evaluation, Goodness of Fit
McKinley, Robert L.; Reckase, Mark D. – 1984
A new procedure is proposed for developing, evaluating, and implementing routing procedures for use with individualized instruction programs. An item response theory model for describing the relationship between performance on sequentially arranged units of instruction, and procedures for using the model to evaluate sequential relationships and…
Descriptors: Estimation (Mathematics), Individualized Instruction, Latent Trait Theory, Mastery Tests
Reckase, Mark D.; McKinley, Robert L. – 1982
This paper reviews the existing multidimensional item response theory (IRT) models and demonstrates how one of the models can be applied to estimation of abilities from a test measuring more than one dimension. The purposes of this paper were threefold. First, the fundamental concepts required when considering multidimensional models for the…
Descriptors: Estimation (Mathematics), Higher Education, Latent Trait Theory, Mathematical Models
