A Least Squares Solution for Successive Intervals Assuming Unequal Standard Deviations

作者：Harold O. Gulliksen · 发表于：Psychometrika · 年份：1954 · DOI：10.1007/bf02289160 · 被引用次数：28 · 研究领域：Statistical and numerical algorithms、Control Systems and Identification

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.