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, σ s 2 , σ d 2 , and σ b 2 . Several coefficients, analogous to reliability coefficients, based on these three variances are indicated. The techniques are illustrated in a replicated comparison of handwriting specimens.
Keywords
Reliability (semiconductor)StatisticsMathematicsComponent (thermodynamics)Variance (accounting)Binomial distributionValue (mathematics)Standard deviationStandard errorScale (ratio)EconometricsApplied mathematics
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Publication Info
- Year
- 1958
- Type
- article
- Volume
- 23
- Issue
- 2
- Pages
- 95-110
- Citations
- 85
- Access
- Closed
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Cite This
Harold Gulliksen,
John W. Tukey
(1958).
Reliability for the Law of Comparative Judgment.
Psychometrika
, 23
(2)
, 95-110.
https://doi.org/10.1007/bf02289008
Identifiers
- DOI
- 10.1007/bf02289008