Question

which statistical test should I use if I want to see the correlation between two measured variables for the same species? For example, the correlation between the metabolism of a fish and its wet weight.

Answer 1

We can use here the t test to test the correlation between two variables.

Where the two hypotheses will be

vs to test if there is any correlation between the two data.

Where = population correlation coefficient

And r = sample correlation coefficient.

We will calculate r from our sample.

Our test statistic for this test is

We will calculate the t value.and then find the p value for the calculated t score from t distribution table with df

(n-2)

If the p value is less than the given level of significance then we will reject the null. That means there is correlation between the two variables. Otherwise we will fail to reject the null. That means there is no correlation between them