Paired Sample T Test Formula. Paired t test table enables the t value from a t test to be converted to a statement about significance. Example of paired samples t test in spss.
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. Let d represents the differences between all pairs. The test statistics used are as follows.
D differences between two paired samples.
Overline d the sample mean of the differences. Please note that a pair of samples each of which are not from normal a distribution often yields differences that are normally distributed. T frac m s sqrt n where m is the mean differences. If the p value that corresponds to the test statistic t with n1 n2 1 degrees of freedom is less than your chosen significance level common choices are 0 10 0 05 and 0 01 then you can reject the null hypothesis.
