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A Method of Estimating Accuracy of Test Scoring

Published online by Cambridge University Press:  01 January 2025

Walter L. Deemer
Walter L. Deemer*
Affiliation:
Harvard University, Cambridge, Massachusetts
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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.

Information

Type
Original Paper
Information
Psychometrika , Volume 7 , Issue 1 , February 1942 , pp. 65 - 73
Copyright
Copyright © 1942 The Psychometric Society

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References

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.CrossRefGoogle Scholar
Garwood, F. Fiducial limits for the Poisson distribution. Biometrika, 1936, 28, 437–442.Google Scholar
Kelley, T. L. How many figures are significant?. Science, 1924, 60, 524–524.CrossRefGoogle ScholarPubMed
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
Przyborowski, J. and Wilenski, H. Statistical principles of routine work in testing clover seed for dodder. Biometrika, 1935, 27, 273–292.CrossRefGoogle Scholar
Ricker, W. E. The concept of confidence or fiducial limits applied to the Poisson frequency distribution. J. Amer. Stat. Assoc., 1937, 32, 349–356.CrossRefGoogle Scholar
Student. An explanation of deviations from Poisson's law in practice. Biometrika, 1919, 12, 211–215.CrossRefGoogle Scholar
Uspensky, J. V. Introduction to mathematical probability, New York: McGraw-Hill Book Company, 1937.Google Scholar
Whitaker, L. On Poisson's law of small numbers. Biometrika, 1914, 10, 36–71.CrossRefGoogle Scholar