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The Relationship Between the Phi Coefficient and the G Index1

University of Uppsala, Sweden

Jan Vegelius

University of Uppsala, Sweden

The value of the phi coefficient () cannot, in general, be uniquely determined from the G index. Its value is shown to obey the inequalities

G-1/3+G 1+G/3-G if -1 < G < 1

When G equals -1 or 1 so does . As a consequence of this is too unstable over item reflection when used as a measure of similarity between individuals. G is a more suitable choice.

Educational and Psychological Measurement, Vol. 40, No. 3, 569-574 (1980)
DOI: 10.1177/001316448004000302


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