Question

When conducting a t test for the correlation coefficient in a study with 16 individuals, the degrees of freedom will be

14

15

30

31

Answer 1

we know that

The t-test of correlation coefficient we use the (n-2) degrees of freedom because in the correlation coefficient test we check whether there is a correlation between the variable x and y.

and we know that the degrees of freedom = number of observations (n) - number of independent factors used in anlaysis.

here, to check the correlation we use the two-factor variable x and y.

Hence for t-test of the correlation coefficient, we use the (n-2) degrees of freedom.

In our case, we have given that,

n=number of individuals = 16

we get,

The degrees of freedom = n-2

= 16 -2

=14

i.e. first option is correct.