A Phi Coefficient (Φ) is a measure of the association between two binary variables.
The Phi Coefficient can be calculated as:
Φ = (AD-BC) / √(A+B)(C+D)(A+C)(B+D)
How to
Interpret a Phi Coefficient
Similar to a Pearson Correlation Coefficient, a Phi Coefficient
takes on values between -1 and 1 where:
·
-1 indicates
a perfectly negative relationship between the two variables.
·
0 indicates
no association between the two variables.
·
1 indicates a
perfectly positive relationship between the two variables.
In general, the further away a Phi Coefficient is from zero, the
stronger the relationship between the two variables.
In other words, the further away a Phi Coefficient is from zero,
the more evidence there is for some type of systematic pattern between the two
variables.
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