Corrections to classical procedures for estimating thurstoneÂ´s case v model for ranking data
The classical method (Mosteller, 1951) for estimating ThurstoneÂ´s Case V model for ranking data consists in a) transforming the observed ranking patterns to patterns of binary paired comparisons, b) obtaining the normal deviate corresponding to the men of each binary variable, and c) estimate the model parameters from these deviates by least squares. However, classical procedures do not take into account the dependencies among the deviates and as a result, asymptotic standard errors (SEs) and goodness of fit (GOF) test are incorrect.
|Date of creation:||Dec 2006|
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- Albert Maydeu-Olivares, 1999. "Thurstonian modeling of ranking data via mean and covariance structure analysis," Psychometrika, Springer, vol. 64(3), pages 325-340, September.
- Rung-Ching Tsai, 2000. "Remarks on the identifiability of thurstonian ranking models: Case V, case III, or neither?," Psychometrika, Springer, vol. 65(2), pages 233-240, June.
- Frederick Mosteller, 1951. "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, Springer, vol. 16(2), pages 207-218, June.
- Frederick Mosteller, 1951. "Remarks on the method of paired comparisons: I. The least squares solution assuming equal standard deviations and equal correlations," Psychometrika, Springer, vol. 16(1), pages 3-9, March.
- Albert Maydeu-Olivares, 2001. "Limited information estimation and testing of Thurstonian models for paired comparison data under multiple judgment sampling," Psychometrika, Springer, vol. 66(2), pages 209-227, June.
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