A Test of Significance of Difference Between Correlated Proportions

Author(s):

Keats, John A.

Publication Year:

1955

Report Number:

RB-55-20

Source:

ETS Research Bulletin

Document Type:

Report

Page Count:

9

Subject/Key Words:

Correlation, Maximum Likelihood Statistics, Ratios (Mathematics), Statistical Significance, Wilks, Samuel Stanley

Abstract

This bulletin reports a likelihood ratio test of the significance of the difference between correlated proportions developed by Dr. S.S. Wilks. A test of the independence of the variables yielding these proportions on the assumption of equal difficulty is also presented. It is also shown that the tests of the significance of differences between correlated proportions used in the literature are in fact ways of estimating a conditional probability. Computational formulae and a computational layout as well as an illustrative example are included.

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• http://dx.doi.org/10.1002/j.2333-8504.1955.tb00263.x