McNemar Test Calculator Formula
Understand the math behind the mcnemar test calculator. Each variable explained with a worked example.
Formulas Used
McNemar chi-sq (continuity)
chi2 = pow(abs(b_cell - c_cell) - 1, 2) / (b_cell + c_cell)McNemar chi-sq (no continuity)
chi2_no_cc = pow(b_cell - c_cell, 2) / (b_cell + c_cell)Total Discordant
total_disc = b_cell + c_cellVariables
| Variable | Description | Default |
|---|---|---|
b_cell | Discordant b (+ then -) | 15 |
c_cell | Discordant c (- then +) | 5 |
How It Works
McNemar Test
chi2 = (|b-c|-1)^2 / (b+c)
For paired binary outcomes. Only discordant pairs matter.
Worked Example
b=15, c=5.
b_cell = 15c_cell = 5
- 01chi2 = 81/20 = 4.05
- 02df=1, significant at 0.05
Ready to run the numbers?
Open McNemar Test Calculator