A Least Squares Solution for Successive Intervals Assuming Unequal Standard Deviations

Harold O. Gulliksen

28 citations0/0 files storedPsychometrika

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Psychometric Methodologies and Testing Statistical Methods and Applications Statistical and numerical algorithms

Abstract

A least squares solution has been presented for the Law of Categorical Judgment and the Method of Successive Intervals, which is formally equivalent to Horst's solution for the matrix of incomplete data. A simplified approximation which is recommended for use with any matrix of complete data is also given. A procedure, analogous to that originally devised by Thurstone and presented by Saffir, is outlined for the typical experimental matrix of incomplete data. It is essentially a “point and slope” method of fitting a straight line which comes rather directly from the least squares solution.

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1952Multidimensional Scaling: I. Theory and Method 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 1942The Prediction of Personal Adjustment.1936THE INVERTED FACTOR TECHNIQUE 1937A Comparative Study of Scales Constructed by Three Psychophysical Methods

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