Paired Samples T Test Formula. The formula for the paired t test is given by. µ 1 µ 2 the paired population means are equal h1.
µ 1 µ 2 the paired population means are equal h1. A paired samples t test always uses the following null hypothesis. D f n a n b 2.
T m μ s n.
µ 1 µ 2 0 the difference between the paired population means is equal to 0 h1. Where d bar is the mean difference s is the sample variance n is the sample size and t is a student t quantile with n 1 degrees of freedom. N is the sample size i e size of d. In both cases we are interested in comparing the mean measurement between two groups in which each observation in one sample can be paired with an observation in the other sample.