(a)
How do the variables in a research study that uses the ordinary Pearson
correlation...

Question

(a)
How do the variables in a research study that uses the ordinary Pearson
correlation coefficient differ from the variables in a study that uses the
point-biserial correlation coefficient? 

(b)
Is the procedure for computing a point-biserial correlation coefficient
different from the procedure for computing a Pearson correlation coefficient? Why
or why not? 

(c)
Is the procedure for testing a Pearson correlation coefficient for statistical
significance different from the procedure for testing a point-biserial
correlation coefficient for statistical significance? Why or why not? 

(d)
In what way is the meaning of a square point-biserial correlation coefficient
the same as the meaning of any other squared Pearson correlation coefficient?

Pooja · Accepted Answer

a)
In Point Bi-serial Coefficient, one variable is measured by the Nominal scale of measurement and other variable is measured by the Interval scale of measurement (Kapoor, 2020).
In Pearson correlation coefficient, both the variables are measured by the Interval/ratio scale of measurement. 
b)
For Point Bi-serial Coefficient, 
Divide data into two groups having two values of 0 and 1. Then the point-biserial correlation coefficient is computed with formula below (Luck, S. (2020)
Where, where sn is the population standard deviation
For Pearson correlation coefficient, from the data of both variables, calculate sum(x), sum(y), sum(xy), sum(x2) and sum(y2). Then Pearson correlation coefficient is computed with formula below. 
c)
The process is the same involving 5 step hypotheses.

(a) How do the variables in a research study that uses the ordinary Pearson correlation coefficient differ from the variables in a study that uses the point-biserial correlation coefficient? (b) Is...

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