Hostname: page-component-745bb68f8f-cphqk Total loading time: 0 Render date: 2025-01-07T18:09:05.876Z Has data issue: false hasContentIssue false
  • English
  • Français

Further Remarks on Nondichotomization of Graded Responses

Published online by Cambridge University Press:  01 January 2025

David Andrich
David Andrich*
Affiliation:
School of Education, Murdoch University
*
Requests for reprints should be sent to David Andrich, School of Education, Murdoch University, Murdoch WA 6150, AUSTRALIA.
Get access Rights & Permissions [Opens in a new window]

Extract

In addition to addressing the points raised in Roskam (1995) as a rejoinder to Andrich (1995), these further remarks on the nondichotomization of graded responses attempt to clarify the difference in perspective between the two articles that gives rise to the different appreciation of what appear to be the same details. Therefore, these remarks take the following form: first, a brief comment is made on the development of the argument and perspective against routine dichotomization of graded responses (which is often seen as no more than commonsense); second, some points raised in the rejoinder are reexamined and clarified from this perspective; third, the perspective is consolidated with examples to show the way in which nondichotomization of graded responses is consistent with intuition. Roskam (1995) and Andrich (1995) are referred to, respectively, as the rejoinder and the paper.

Keywords

Public PolicyStatistical TheoryAnalytic Difference
Type
Original Paper
Information
Psychometrika , Volume 60 , Issue 1 , March 1995 , pp. 37 - 46
Copyright
Copyright © 1995 The Psychometric Society

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Andersen, E. B. (1977). Sufficient statistics and latent trait models. Psychometrika, 42, 69–81.CrossRefGoogle Scholar
Andrich, D. (1978). A rating formulation for ordered response categories. Psychometrika, 43, 357–374.CrossRefGoogle Scholar
Andrich, D. (1982). An extension of the Rasch model for ratings providing both location and dispersion parameters. Psychometrika, 47, 105–113.CrossRefGoogle Scholar
Andrich, D. (1988, April). A scientific revolution in social measurement. First meeting of the American Educational Research Association's Special Interest Group on Rasch Measurement, New Orleans.Google Scholar
Andrich, D. (1993a). Where linguistics, physical measurement and social measurement converge. Paper presented at the Fourth International Conference on Bibliometrics and Scientometrics, Berlin.Google Scholar
Andrich, D. (1993b). Theoretical and empirical evidence on the dichotomization of graded responses. Paper presented at the Annual Meeting of the AERA, Atlanta, Georgia.Google Scholar
Andrich, D. (1993). A law of the distribution of measurement error as a function of the effective unit of measurement (Report No. 3), Murdoch, Australia: Murdoch University, Social Measurement Laboratory.Google Scholar
Andrich, D. (1995). Models for measurement, precision, and the non-dichotomization of graded responses. Psychometrika, 60, 7–26.CrossRefGoogle Scholar
Harris, J. (1991). Consequences for social measurement of collapsing adjacent categories within items with three or more ordered categories, Australia: Murdoch University.Google Scholar
Jansen, P. G. W., Roskam, E. E. (1986). Latent trait models and dichotomization of graded responses. Psychometrika, 51, 69–91.CrossRefGoogle Scholar
Kuhn, T. S. (1970). The structure of scientific revolutions 2nd ed.,, Chicago: The University of Chicago Press.Google Scholar
Müller, H. (1987). A Rasch model for continuous ratings. Psychometrika, 52, 165–182.CrossRefGoogle Scholar
Rasch, G. (1966). An individualistic approach to item analysis. In Lazarsfeld, P. F., Henry, N. W. (Eds.), Readings in mathematical social science (pp. 89–108). Chicago: Science Research Associates.Google Scholar
Roskam, E. E. (1995). Graded responses and joining categories: A rejoinder to Andrich's “Models for measurement, precision, and the nondichotimization of graded responses. Psychometrika, 60, 27–35.CrossRefGoogle Scholar
Samejima, F. (1969). Estimation of latent ability using a response pattern of graded scores. Psychometric Monographs, 34, 2, (No. 17).CrossRefGoogle Scholar
Saussure, F. (1959). Course in general linguistics, London: Peter Owen.Google Scholar