Statistics

Paired T-Test Calculator

Before-and-after comparison with t, df, p-value and effect size.

Enter your values

ⓘ Live results

Results
t statistic
7
p-value (two-tailed)
0.0009
Verdict
p < 0.001 — very strong evidence
Mean difference
2.3333
SD of differences
0.8165
Degrees of freedom
5
Cohen's d
2.858

Quick answer

A paired t-test analyses the differences within each pair: t = mean difference ÷ (SD of differences ÷ √n), with n − 1 degrees of freedom.

t = d̄ ÷ (s_d ÷ √n)

How to use the Paired T-Test Calculator

  1. 1Enter the before measurements in order.
  2. 2Enter the after measurements for the same subjects in the same order.
  3. 3Read t and the p-value, then check Cohen's d for how big the change actually is.

Worked example

Using the values the calculator loads with:

Inputs

  • Before values12, 15, 11, 14, 13, 16
  • After values14, 18, 12, 17, 15, 19

Results

  • t statistic7
  • p-value (two-tailed)0.0009
  • Verdictp < 0.001 — very strong evidence
  • Mean difference2.3333
  • SD of differences0.8165
  • Degrees of freedom5
  • Cohen's d2.858

Frequently asked questions

When do I use a paired test instead of an independent one?

When each pair of numbers comes from the same person, item or matched unit — pairing removes between-subject variation and gives far more power.

What if my lists are different lengths?

The test cannot run: every observation needs a partner. Use an independent two-sample t-test instead.

About this calculator

Results are estimates for general information. For medical, legal, structural or financial decisions, confirm with a qualified professional.