Paired And Unpaired T Test Formula. The paired t test statistics value can be calculated using the following formula. N is the sample size i e size of d.
T frac m s sqrt n where m is the mean differences. T frac bar x 1 bar x 2 sqrt frac s 1 2 n 1 frac s 2 2 n 2 where. S is the standard deviation of d.
S is the standard deviation of d.
The formula for the paired t test is given by t frac sum d sqrt frac n sum d 2 sum d 2 n 1 where σd is the sum of the differences. In an unpaired t test the variance between groups is assumed to be equal. Paired vs unpaired t test. An unpaired t test compares the means of two independent or unrelated groups.