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A survey was conducted in which patients were asked to identify their sex and whether they...

A survey was conducted in which patients were asked to identify their sex and whether they experienced pain during a clinical trial of a new medical device. The researchers looked for a correlation between sex and the presence or absence of pain. Which correlation coefficient should be used?

Phi

Biserial

Point Biserial

Spearman

Math   Statistics-And-Probability   
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Answer #1

Here, we are trying to analyze the correlation between 2 binary variables: Sex and binary variable representing the presence or absence of pain.

Note that pearson and spearman test are used to find correlation of continuous variables. Biserial correlation is used to find correlation between 2 variables: one binary and the other continuous.

The phi correlation coefficient is used to find the correlation by tabulation ( like a confusion matrix) for 2 binary variables. Therefore phi correlation is the required method here.

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