An Axiomatic Formulation and Generalization of Successive Intervals Scaling

Ernest Adams · Samuel Messick

32 citations0/0 files storedPsychometrika

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Psychometric Methodologies and Testing Probability and Statistical Research Decision-Making and Behavioral Economics

Abstract

A formal set of axioms is presented for the method of successive intervals, and directly testable consequences of the scaling assumptions are derived. Then by a systematic modification of basic axioms the scaling model is generalized to non-normal stimulus distributions of both specified and unspecified form.

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References

1952Handbook of Experimental Psychology.1951Remarks on the Method of Paired Comparisons: I. The Least Squares Solution Assuming Equal Standard Deviations and Equal Correlations 1925A method of scaling psychological and educational tests.2007Remarks on the Method of Paired Comparisons: III. A Test of Significance for Paired Comparisons when Equal Standard Deviations and Equal Correlations Are Assumed 1951Remarks on the Method of Paired Comparisons: III. A Test of Significance for Paired Comparisons when Equal Standard Deviations and Equal Correlations are Assumed 1952An Internal Consistency Check for Scale Values Determined by the Method of Successive Intervals 1937A Comparative Study of Scales Constructed by Three Psychophysical Methods 1957A General Least Squares Solution for Successive Intervals

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1967A Maximum Likelihood Solution for the Method of Successive Intervals Allowing for Unequal Stimulus Dispersions

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