The Rasch Model as Additive Conjoint Measurement

1979/04/01 by Richard Perline, Benjamin D. Wright, Howard Wainer · 3 citations
Mathematics · Psychology · #Advanced Statistical Methods and Models #Artificial intelligence #Computer science #Conjoint analysis #Econometrics #Exposition (narrative) #Item response theory #Mathematics #Object (grammar) #Polytomous Rasch model #Preference #Psychology #Psychometrics #Rasch model #Scale (ratio) #Scaling #Statistics

paper · doi:10.1177/014662167900300213

openalex publication_date 1979/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08

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.

Citations

• BINAURAL ADDITIVITY OF LOUDNESS
• A general theory of polynomial conjoint measurement
• Measurement structures and linear inequalities
• The Rasch Model, the Law of Comparative Judgment and Additive Conjoint Measurement
• Simultaneous conjoint measurement: A new type of fundamental measurement
• Multidimensional Scaling by Optimizing Goodness of Fit to a Nonmetric Hypothesis
• Test Theory

Cited by

• The Rasch Model from the Perspective of the Representational Theory of Measurement
• Plausible measurement analogies to some psychometric models of test performance
• Theory of conjoint measurement [wikipedia]