Two Tailed Paired T Test Formula. Mathematically it is represented as t x 1 x 2 s21 n 1 s22 n 2. 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 case statistics of two samples are to be compared then a two sample t test is to be used and its formula is expressed using respective sample means sample standard deviations and sample sizes. 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.
N is the sample size i e size of d.
T test employs means and standard deviations of two samples to do a comparison. Thus in summary a paired 2 sample t test takes as input 2 sample sets that have their observations linked to the other on a 1 to 1 basis and the test s outputs follow a t distribution. The paired t test used to compare the means between two related groups of samples. S is the standard deviation of d.
