Phi-coefficient-of-correlation: Phi coefficient of correlation

Description Usage Arguments Details Value References

Description

The phi coefficient of is a correlation coefficient applied to dichotomous data. Given a two x two table of counts a b R1 c d R2 C1 C2 n or a vector c(a,b,c,d) of frequencies.

Usage

1
phi(x)

Arguments

x

a 1 x 4 vector or a matrix 2 x 2 of frequencies.

Details

The coefficient phi is calculated from (ad - bc)/sqrtp_qp_2q_1q_2 where p_i and q_i are the ratios of the dichotomous variables.

Value

the value of the phi coefficient correlation.

References

Warrens, Matthijs (2008), On Association Coefficients for 2x2 Tables and Properties That Do Not Depend on the Marginal Distributions. Psychometrika, 73, 777-789.

Yule, G.U. (1912). On the methods of measuring the association between two attributes. Journal of the Royal Statistical Society, 75, 579-652.


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