Two Tailed Paired T Test Formula. Another way to determine the tscore is. For example t 0 5 of single tailed test equals to t 0 25 of two tailed test.
The formula for t test is given below. T score r n 2 1 r 2 displaystyle t text score frac r sqrt n 2 sqrt 1 r 2 where r is the pearson correlation coefficient. T frac bar x 1 bar x 2 s delta where s bar delta sqrt frac s 1 2 n 1 frac s 2 2 n 2 where bar x 1 mean of first set of values bar x 2 mean of second set of values.
In contrast to the paired 2 sample t test we also have the unpaired 2 sample t test.
The paired t test used to compare the means between two related groups of samples. T score intercept α β t score slope s x 2 x 2. N is the sample size i e size of d. T frac bar x 1 bar x 2 s delta where s bar delta sqrt frac s 1 2 n 1 frac s 2 2 n 2 where bar x 1 mean of first set of values bar x 2 mean of second set of values.