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Abstract

Scale values of stimulus-objects O_j (j = 1, 2 ... n) are calculated in Thurstone's comparative judgment model under the assumption that the perceived difference between each pair (O_j , O_k ), with respect to the attribute being scaled, is normally distributed across a population of subjects. The present study considered the amount of error introduced into Thurstone scale values when difference distributions are not normal. Non-normal distributions were simulated for objects O_j , having known true scale values; and corresponding scale values were derived from this aberrant data. The discrepancy between true and derived scale values thus provided a measure of error. As expected, the amount of error in derived values increased as the degree of non-normality increased. However, the magnitude of error did not reach serious proportions except for distributions that were both extremely non-normal and heterogeneous in shape.

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References

Adams, E. and Messick, S. An axiomatic formulation and generalization of successive intervals scaling. Psychometrika, 1958, 23, 335-368.

Jones, L. V. and Thurstone, L. L. The psychophysics of semantics: An empirical investigation . Journal of Applied Psychology, 1955 , 39, 31-36.

Mosier, C. G. A psychometric study of meaning . Journal of Social Psychology, 1941 , 13, 123-140.

Mosteller, F. Some miscellaneous contributions to scale theory: Remarks on the method of paired comparisons. Cambridge: Harvard University Laboratory of Social Relations, Report No. 10, 1950, 15-26.

Mosteller, F. Remarks on the method of paired comparisons: II. The effect of an aberrant standard deviation when equal standard deviations and equal correlations are assumed. Psychometrika , 1951, 16, 203-206 (a).

Mosteller, F. Remarks on the method of paired comparisons: III. A test of significance for paired comparisons when equal standard deviations and equal correlations are assumed. Psychometrika , 1951, 16, 207-218 (b).

Rambo, W. W. The distribution of successive interval judgments of attitude statements: A note. Journal of Social Psychology, 1963, 60, 251-254.

Torgerson, W. S. Theory and methods of scaling . New York: Wiley, 1958.

Remarks on the Method of Paired Comparisons: the Effect of Non-Normality in Thurstone's Comparative Judgment Model

Abstract

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