In: Statistics and Probability
You are running correlation analysis on a data set with 11 items. You calculate the correlation coefficient to be 0.845.
What is the critical value?
The formula for the test statististic is :-
where r = correlation coefficient
n = sample size
So,
, the value of the test statistic.
This ,
distribution.
let, the level of significance be
. Then, if your test is a two sided test ( i.e,
) then, the critical value formula is :
otherwise ( i.e for
or
) , the critical value formula is :
Suppose,
and the test is a two sided test. Then, critical value :
for one sided test , the critical value is :