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A method of estimating accuracy of test scoring

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Abstract

When errors of test scoring obey a Poisson frequency law (theoretical considerations suggest that they do), the method described may be used for finding the upper fiducial limits of scoring errors per paper. A criterion is suggested for establishing tolerance limits on scoring errors, and a method is given (1) for finding the probability of being wrong in the statement that the tolerance limit is being met for a given size sample or (2) for finding the size of sample that will make this probability not greater than some fixed value.

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References

  1. Clopper, C. J. and Pearson, E. S. The use of confidence or fiducial limits illustrated in the case of the binomial.Biometrika, 1934,26, 404–413.

    Google Scholar 

  2. Garwood, F. Fiducial limits for the Poisson distribution.Biometrika, 1936,28, 437–442.

    Google Scholar 

  3. Kelley, T. L. How many figures are significant?Science, 1924,60, 524.

    Google Scholar 

  4. Pearson, K. On certain types of compound frequency distributions in which the components can be individually described by binomial series.Biometrika, 1915,11, 139–144.

    Google Scholar 

  5. Przyborowski, J. and Wilenski, H. Statistical principles of routine work in testing clover seed for dodder.Biometrika, 1935,27, 273–292.

    Google Scholar 

  6. Ricker, W. E. The concept of confidence or fiducial limits applied to the Poisson frequency distribution.J. Amer. Stat. Assoc., 1937,32, 349–356.

    Google Scholar 

  7. Student. An explanation of deviations from Poisson's law in practice.Biometrika, 1919,12, 211–215.

    Google Scholar 

  8. Uspensky, J. V. Introduction to mathematical probability. New York: McGraw-Hill Book Company, 1937.

    Google Scholar 

  9. Whitaker, L. On Poisson's law of small numbers.Biometrika, 1914,10, 36–71.

    Google Scholar 

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Deemer, W.L. A method of estimating accuracy of test scoring. Psychometrika 7, 65–73 (1942). https://doi.org/10.1007/BF02288604

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