The polyserial correlation coefficient |
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| Authors: | Ulf Olsson Fritz Drasgow Neil J. Dorans |
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| Affiliation: | (1) Department of Economics and Statistics, The Swedish University of Agricultural Sciences, S-750 07 Uppsala 7, Sweden;(2) Department of Economics and Statistics, The Swedish University of Agricultural Sciences, S-750 07 Uppsala 7, North America;(3) Yale University, Israel;(4) Department of Psychology, University of Illinois, 603 E. Daniel Street, 61820 Champaign, IL, USA;(5) Educational Testing Service, USA |
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| Abstract: | The polyserial and point polyserial correlations are discussed as generalizations of the biserial and point biserial correlations. The relationship between the polyserial and point polyserial correlation is derived. The maximum likelihood estimator of the polyserial correlation is compared with a two-step estimator and with a computationally convenient ad hoc estimator. All three estimators perform reasonably well in a Monte Carlo simulation. Some practical applications of the polyserial correlation are described.By coincidence, the first author and the second and third authors learned that they were working independently on closely related problems and, consequently, decided to write a jointly authored paper. |
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| Keywords: | point polyserial correlation dichotomous variables polychotomous variables latent variables |
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