POINT BISERAL & PHI COEFFICIENT Flashcards
used to measure the relationship between two variables in situations in which one variable consists of regular, numerical scores, but the second variable has only two values
Point-biserial correlation
variable with only two values
dichotomous variable or a
binomial variable
• male vs. female
• college graduate vs. not a college graduate
• first-born child vs. later-born child
• success vs. failure on a particular task
• older than 30 years old vs. younger than 30 years old
dichotomous variable or a
binomial variable
The dichotomous variable is first converted to numerical values by assigning a value of zero (0) to one category and a value of one (1) to the other category. Then the regular Pearson correlation formula is used with the converted data
compute the point-biserial correlation
converted to numerical values by assigning a value of zero (0) to
one category and a value of one (1) to the other category
1st step to compute the point-biserial correlation
regular Pearson correlation formula is used with the converted data
2nd step to compute the point-biserial correlation
When both variables (X and Y) measured for each individual are dichotomous, the correlation between the two variables is called
phi-coefficient
(Φ)
phi
- Convert each of the dichotomous variables to numerical values by assigning a 0 to one category and a 1 to the other category for each of the variables.
- Use the regular Pearson formula with the converted scores.
compute phi (Φ)