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Phi (f) Correlation

 

Explanations > Social ResearchAnalysis > Phi (f) Correlation

Description | Discussion | See also

 

Description

Phi (f) correlation is used to assess correlation between two variables where they are in a 2 x 2 table (ie. both variables are dichotomous).

Phi is calculated by first calculating chi-square, then using the following calculation:

f = SQRT(c2 / N)

Discussion

Chi-square says that there is a significant relationship between variables, but it does not say just how significant and important this is. Phi correlation is a post-test to give this additional information.

Phi varies between -1 and 1. Close to 0 it shows little association between variables. Close to 1, it indicates a strong positive association. Close to -1 it shows a strong negative correlation.

Remember that Phi is only of use in 2x2 tables. Where tables are larger, use Cramer's V.

See also

Cramer's V, Chi-square test.

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