Test Statistic For Correlation Coefficient Calculator. Second we calculate the value of the test statistic using the following formula. The sample correlation r is a statistic that estimates the population correlation rho.
Pearsons correlation coefficient measures the strength and direction of the relationship between two variables. The null hypothesis is rejected when the z-statistic lies on the rejection region which is determined by the significance level alpha and the type of tail two-tailed left-tailed or right-tailed. The p -value is the combined area in both tails.
You may enter data in one of the following two formats.
The correlation coefficient r tells us about the strength and direction of the linear relationship between X 1 and X 2. So for example you could use this test to find out whether peoples height and weight are correlated. The value of the test statistic t is shown in the computer or calculator output along with the p -value. The null hypothesis is rejected when the z-statistic lies on the rejection region which is determined by the significance level alpha and the type of tail two-tailed left-tailed or right-tailed.
