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Wilson, Mark; Wright, Benjamin D. – 1983
A common problem in practical educational research is that of perfect scores which result when latent trait models are used. A simple procedure for managing the perfect and zero response problem encountered in converting test scores into measures is presented. It allows the test user to chose among two or three reasonable finite representations of…
Descriptors: Factor Analysis, Item Analysis, Latent Trait Theory, Mathematical Models

Wilson, Mark – Applied Psychological Measurement, 1988
A method for detecting and interpreting disturbances of the local-independence assumption among items that share common stimulus material or other features is presented. Dichotomous and polytomous Rasch models are used to analyze structure of the learning outcome superitems. (SLD)
Descriptors: Item Analysis, Latent Trait Theory, Mathematical Models, Test Interpretation

Wang, Wen-chung; Wilson, Mark; Adams, Raymond J. – Journal of Outcome Measurement, 1998
Another Rasch approach to the measurement of change, the multidimensional random coefficient multinomial logit model (MRCML), is proposed. The MRCML model can be applied to polytomous items and the investigation of variations in item difficulties. Some simulation studies demonstrate good parameter recovery for the MRCML model under various testing…
Descriptors: Change, Difficulty Level, Individual Differences, Item Response Theory

Wilson, Mark; Moore, Stephen – Australian Journal of Education, 1989
A guide to the use of microcomputer statistical analysis packages for loglinear analysis describes the application of one popular package to a straightforward problem and critically surveys features available in four of the leading packages. Survey findings and suggestions for further development are included. (Author/MSE)
Descriptors: Computer Oriented Programs, Computer Software, Mathematical Models, Media Selection

Wilson, Mark – Applied Psychological Measurement, 1992
The ordered partition model is described as an extension of the partial credit model, its relationship to other models is discussed, and two examples are presented. The model is designed for a measurement context in which categories of response to an item cannot be completely ordered. (SLD)
Descriptors: Equations (Mathematics), Item Response Theory, Mathematical Models, Measurement Techniques

Wilson, Mark – Journal of Educational Statistics, 1989
An empirical sampling approach was used to assess the accuracy of a Taylor approximation for the estimation of sampling errors. The sampling errors were in the statistics involved in estimating a path model based on medium-sized samples gathered using five sample designs commonly used in educational research. (TJH)
Descriptors: Educational Research, Error of Measurement, Estimation (Mathematics), Mathematical Models

Wilson, Mark; Adams, Raymond J. – Journal of Educational Statistics, 1993
A marginal maximum likelihood estimation algorithm is presented for the ordered partition model of M. Wilson that does not require the set of available responses to be fully ordered. The model and its estimation algorithm are illustrated in a comparison of alternative scoring schemes for open-ended science items. (SLD)
Descriptors: Algorithms, Comparative Analysis, Elementary Secondary Education, Equations (Mathematics)

Wilson, Mark – Journal for Research in Mathematics Education, 1990
Summarizes a reanalysis of the data from an investigation of a test designed to measure a learning sequence in geometry based on the work of van Hiele (1986). Discusses the test based on the Rasch model. (YP)
Descriptors: Geometric Concepts, Geometry, Item Analysis, Mathematical Concepts

Wilson, 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
Wilson, Mark – 1985
A psychometric model called Saltus, which represents the qualitative aspects of hierarchical development in a form applicable to additive measurement, was applied. Both Piaget's theory of cognitive development and Gagne's theory of learning hierarchies were used to establish the common features of hierarchical development: (1) gappiness--the…
Descriptors: Cognitive Development, Cognitive Measurement, Developmental Stages, Elementary Education