# Correlation Tests Two-Sample Independent Test

The Two-Sample Independent Test for Correlation is used to test if differences exist in correlations from two independent bivariate populations from which the samples were drawn.

## Hypotheses

The following hypotheses may be tested:

Where and are the population correlations from which the samples were drawn.

## Assumptions

- The samples has been randomly drawn from two independent bivariate (two-dimensional) populations (Critical)
- The populations may be modeled with a bivariate normal distribution (Not Critical, if unimodal)
- The correlations represent the degree to which a linear relationship exists between two variables (Critical)

## Test Statistics

## Output

### Note

The p-value is flagged with an asterisk (*) when p <= alpha.