The Rasch Model as Additive Conjoint Measurement

Richard Perline · Benjamin D. Wright · Howard Wainer

264 citations0/0 files storedApplied Psychological Measurement

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Psychometric Methodologies and Testing Psychological Testing and Assessment Educational Assessment and Pedagogy

Abstract

The object of this paper is to present Rasch's psychometric model as a special case of additive conjoint measurement. The connection between these two areas has been discussed before, but largely ignored. Because the theory of conjoint measurement has been formulated determinis tically, there have been some difficulties in its application. It is pointed out in this paper that the Rasch model, which is a stochastic model, does not suffer from this fault. The exposition centers on the analyses of two data sets, each of which was ana lyzed using Rasch scaling methods as well as some of the methods of conjoint measurement. The results, using the different procedures, are com pared.

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References

1969Statistical Theories of Mental Test Scores 1961Probabilistic Models for Some Intelligence and Attainment Tests 1964Simultaneous conjoint measurement: A new type of fundamental measurement 1971Foundations of Measurement, Vol. I: Additive and Polynomial Representations 1970Mathematical psychology : an elementary introduction 1965Analysis of Factorial Experiments by Estimating Monotone Transformations of the Data 1964Measurement structures and linear inequalities 1977Sufficient Statistics and Latent Trait Models

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