Reliability for the Law of Comparative Judgment

Harold O. Gulliksen · John W. Tukey

86 citations0/0 files storedPsychometrika

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Psychometric Methodologies and Testing Psychological Testing and Assessment Reliability and Agreement in Measurement

Abstract

A variance-components analysis is presented for paired comparisons in terms of three components: s, the scale value of the stimuli; d, a deviation from the linear model specified by the law of comparative judgment; and b, a binomial error component. Estimates are given for each of the three variances, σs2, σd2, and σb2. Several coefficients, analogous to reliability coefficients, based on these three variances are indicated. The techniques are illustrated in a replicated comparison of handwriting specimens.

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1957Rank Correlation Methods.1951Rank Correlation Methods.1967Quality Control and Industrial Statistics.1955Design and Analysis of Industrial Experiments.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 1952Quality Control and Industrial Statistics.

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