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Table of Mean Deviates for Various Portions of the Unit Normal Distribution

Published online by Cambridge University Press:  01 January 2025

Hollis M. Leverett
Hollis M. Leverett*
Affiliation:
Harvard University
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Abstract

In the absence of sound units of measurement, the data obtained by use of a psychometric instrument may sometimes be so irregular that they cannot be accepted as a good representation of the true function of the trait measured. Frequently, ordered categorical or ranked data and other irregular distributions are obtained to represent traits that are obviously continuous and probably unskewed functions. In such cases, the data may be improved in the direction of a better approximation of the true function by converting them to normal distribution form. A table of mean deviates of various portions of the unit normal curve is presented to facilitate this conversion.

Type
Original Paper
Information
Psychometrika , Volume 12 , Issue 2 , June 1947 , pp. 141 - 152
Copyright
Copyright © 1947 The Psychometric Society

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Footnotes

*

The author wishes to acknowledge the kind counsel of Professor Truman L. Kelley in the preparation of this article.

References

Kelley, Truman L. Statistical method, New York: Macmillan, 1923.Google Scholar
Kelley, Truman L. The Kelley statistical tables, New York: Macmillan, 1938.Google Scholar
Thorndike, Edward L. Introduction to the theory of mental and social measurements, New York: Teachers College, Columbia University, 1913.Google Scholar