# Significance of correlation : T Test

An assumption for a significance test of the correlation coefficient is that the populations, the variance of each variable is the same at each point of the other variable. Are there other assumptions to correlation coefficient? What happens if these assumptions are not met? What two numbers do you need to figure the t score for the significance test of a correlation coefficient between X and Y?

© BrainMass Inc. brainmass.com June 3, 2020, 10:24 pm ad1c9bdddfhttps://brainmass.com/statistics/pearson-product-moment-correlation/significance-correlation-test-229037

#### Solution Preview

Please see the attachments

Correlation

An assumption for a significance test of the correlation coefficient is that the populations, the variance of each variable are the same at each point of the other variable. Are there other assumptions to correlation coefficient? What happens if these assumptions are not met? What two numbers do you need to figure the t score for the significance test of a correlation coefficient between X and Y?

Answer

The conventional tests of significance of the Pearson product moment correlation coefficient depend on an assumption of a bivariate normal population distribution. Under this assumption a t statistic calculated from a sample correlation provides a test of ...

#### Solution Summary

The solution provides step by step method for the calculation of test statistic for significance of correlation coefficient . Formula for the calculation and Interpretations of the results are also included.