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The Application of Probit Analysis to the Results of Mental Tests

Published online by Cambridge University Press:  01 January 2025

D. J. Finney
D. J. Finney*
Affiliation:
Rothamsted Experimental Station
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Abstract

The application of the Müller-Urban constant process to item selection, as considered in a recent paper in this journal, is shown to be closely analogous to a method now in general use for the analysis of insecticidal and other toxicological tests. This method of probit analysis gives the maximum likelihood estimates of the unknown parameters and, with the aid of published tables, the necessary computations can be rapidly performed. The present paper contains an outline of the method and an illustration of the most convenient form of computations for use in analyses of psychometric data.

Type
Original Paper
Information
Psychometrika , Volume 9 , Issue 1 , March 1944 , pp. 31 - 39
Copyright
Copyright © 1944 The Psychometric Society

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References

Ferguson, G. A. Item selection by the constant process. Psychometrika, 1942, 7, 19–29.CrossRefGoogle Scholar
Gaddum, J. H. Reports on biological standards. III. Methods of biological assay depending on a quantal response, London: His Majesty's Stationery Office, 1933.Google Scholar
Bliss, C. I. The method of probits. Science, 1934, 79, 38–39.CrossRefGoogle ScholarPubMed
Bliss, C. I. The method of probits—a correction. Science, 1934, 79, 409–410.CrossRefGoogle ScholarPubMed
Bliss, C. I. The calculation of the dosage-mortality curve. Ann. appl. Biol., 1935, 22, 134–167.CrossRefGoogle Scholar
Bliss, C. I. The comparison of dosage-mortality data. Ann. appl. Biol., 1935, 22, 307–333.CrossRefGoogle Scholar
Fisher, R. A. and Yates, F. Statistical tables for biological, agricultural, and medical research 2nd ed.,, Edinburgh: Oliver and Boyd, 1943.Google Scholar
Lawley, D. N. On problems connected with item selection and test construction. Proc. Roy. Soc., 1943, A61, 273–287.Google Scholar
Fisher, R. A. On the mathematical foundations of theoretical statistics. Phil. Trans., 1921, A,222, 309–368.Google Scholar
Garwood, F. The application of maximum likelihood to dosage-mortality curves. Biometrika, 1940, 32, 46–58.CrossRefGoogle Scholar
Finney, D. J.The application of the probit method to toxicity test data adjusted for mortality in the controls. Ann. appl. Biol., 1944 (in press).CrossRefGoogle Scholar
Cochran, W. G. Appendix to paper by F. Tattersfield and J. T. Martin. Ann. appl. Biol., 1938, 25, 426–429.Google Scholar
Finney, D. J. The statistical treatment of toxicological data relating to more than one dosage factor. Ann. appl. Biol., 1943, 30, 71–79.CrossRefGoogle Scholar