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On the large sample distributions of modified sample biserial correlation coefficients

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Abstract

The asymptotic distributions of Brogden's and Lord's modified sample biserial correlation coefficients are derived. The asymptotic variances of these estimators are evaluated for bivariate normal populations and compared to the asymptotic variance of the maximum likelihood estimator.

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References

  • Brogden, Hubert E. (1949). A new coefficient: Application to biserial correlation and to estimation of selective effciency. Psychometrika, 14, 169–182.

    Google Scholar 

  • Clemans, W. V. (1958). An index of item-criterion relationship. Educational and Psychological Measurement, 18, 167–172.

    Google Scholar 

  • Johnson, N. L., & Kotz, S. (1970). Distributions in statistics: Continuous multivariate distributions. New York: John Wiley & Sons.

    Google Scholar 

  • Koopman, R. F. (1983). On the standard error of the modified biserial correlation. Psychometrika, 48, 639–641.

    Google Scholar 

  • Kraemer, H. C. (1981). Modified biserial correlation coefficients. Psychometrika, 46, 275–282.

    Google Scholar 

  • Lord, F. M. (1963). Biserial estimates of correlation. Psychometrika, 28, 81–85.

    Google Scholar 

  • Pearson K. (1909). On a new method of determining the correlation between a measured character A and a character B. Biometrika, 7, 96–105.

    Google Scholar 

  • Prince, B. M., & Tate, R. F. (1966). Accuracy of maximum likelihood estimates of correlation for a biserial model. Psychometrika, 31, 85–92.

    Google Scholar 

  • Serfling, R. J. (1980). Approximation theorems of mathematical statistics. New York: John Wiley & Sons.

    Google Scholar 

  • Shorack, G. R. (1974). Random means. Annals of Statistics, 2, 661–675.

    Google Scholar 

  • Tate, R. F. (1955). Applications of correlation models for biserial data. Journal of the American Statistical Association, 50, 1078–1095.

    Google Scholar 

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The author would like to thank the referees for several suggestions which improved the presentation of the paper.

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Bedrick, E.J. On the large sample distributions of modified sample biserial correlation coefficients. Psychometrika 55, 217–228 (1990). https://doi.org/10.1007/BF02295284

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  • DOI: https://doi.org/10.1007/BF02295284

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