T Test Correlation Table. Sample qualitative table with variable descriptions. The table contains critical values for two tail tests.
The row names are the degrees of freedom df. The t test is used to establish if the correlation coefficient is significantly different from zero and hence that there is evidence of an association between the two variables. The value of the test statistic t is shown in the computer or calculator output along with the p value.
A table of such critical values can be found in pearson s correlation table.
The critical value of t at a specified level of significance α is calculated for both left right side of the mean of t distribution but the α value is divided by 2 and corresponding critical value of t is derived from the t distribution table for both halves. The p value is the combined area in both tails. The p value is the combined area in both tails. If the calculated pearson s correlation coefficient is greater than the critical value from the table then reject the null hypothesis that there is no correlation i e.
