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Table for Determining phi Coefficients

Published online by Cambridge University Press:  01 January 2025

C. E. Jurgensen
C. E. Jurgensen*
Affiliation:
Minneapolis Gas Light Company
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Abstract

A table is presented which directly gives phi coefficients accurate to three places when entered by the proportion of one sub-group responding in a specified manner and the proportion of a second sub-group responding in the same manner. The table gives coefficients identical with those obtained by formula if the sub-groups are equal in number. The phi coefficients can readily be expressed, if desired, in terms of critical ratio or chi square. The table is more accurate than the use of abacs and eliminates the use of time-consuming formulas. Accurate determination of item validity on the basis of statistically rigorous techniques can be made more quickly by means of the table than validity determined by less efficient methods which have previously been used to save time.

Information

Type
Original Paper
Information
Psychometrika , Volume 12 , Issue 1 , March 1947 , pp. 17 - 29
Copyright
Copyright © 1947 The Psychometric Society

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References

Edgerton, H. A. and Paterson, D. G. Table of standard errors and probable errors of percentages for varying numbers of cases. J. appl. Psychol., 1926, 10, 378–391.CrossRefGoogle Scholar
Fiske, D. W. and Dunlap, J. W. A graphical test for the significance of differences between frequencies from different samples. Psychometrika, 1945, 10, 225–227.CrossRefGoogle Scholar
Guilford, J. P. Fundamental statistics in psychology and education (pp. 247–247). New York: McGraw-Hill, 1942.Google Scholar
Guilford, J. P. The phi coefficient and chi square as indices of item validity. Psychometrika, 1941, 6, 11–19.CrossRefGoogle Scholar
Long, J. A. and Sandiford, P. The validation of test items (pp. 126–126). Toronto: University of Toronto, 1935.Google Scholar
Lord, F. M. Alignment chart for calculating the fourfold point correlation coefficient. Psychometrika, 1944, 9, 41–42.CrossRefGoogle Scholar
Mosier, C. I. and McQuitty, J. V. Methods of item validation and abacs for item-test correlation and critical ratio of upper-lower differences. Psychometrika, 1940, 5, 57–65.CrossRefGoogle Scholar
Votaw, D. F. Graphical determination of probable errors in validation of test items. J. educ. Psychol., 1933, 24, 682–686.CrossRefGoogle Scholar