One-sample mean equivalence test
Test both prespecified equivalence bounds using a sample mean and SD.
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Use independent observations, n≥2, positive sample SD, ordered margins and alpha from 0.001 to 0.1. Margins must be justified before seeing results.
The starting values are hypothetical. Results update as you edit. Use aggregate or synthetic inputs only.
Calculation results
- Lower-bound one-sided p
- 0.000070350257
- Upper-bound one-sided p
- 0.018322342
- TOST p (maximum)
- 0.018322342
- Interval lower
- -0.055108367
- Interval upper
- 0.25510837
- Assessment
- Equivalence supported under the stated margins and assumptions.
How to interpret the output
TOST rejects non-equivalence only when both one-sided t tests reject at alpha. Equivalently the 100×(1−2alpha)% t interval lies within both margins. Failure to show equivalence is not proof of a meaningful difference. Normality/large-sample and independent-sampling assumptions apply.
Method referenceSource checked 2026-11-06. Read the reproducible calculator validation report.