Paired t Test
Test whether the mean within-pair difference is zero.
Your numbers
t statistic
Pair positions must correspond to the same unit or person; observations between pairs must be independent.
Scenario comparison
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Formula
Apply a one-sample t test to the paired differences.
Test whether the mean within-pair difference is zero.
Worked example
- First measurement
- 8, 9, 10, 11, 12
- Paired second measurement
- 7, 7, 8, 9, 9
- t statistic
- 6.32455532034
- Degrees of freedom
- 4
- Two-sided p-value
- 0.00319820215234
- Mean first-minus-second difference
- 2
Scope and limitations
Pair positions must correspond to the same unit or person; observations between pairs must be independent.
Inputs are checked for missing values and allowed ranges. A result outside the finite numeric range is not displayed. Rounding affects display, while the calculation uses the model’s numeric precision.
Check your units and assumptions before relying on a result. Changing a label does not convert a currency or physical unit.
Formula version: 2e58d7e506a1 · Example checked: