TOST Mean Equivalence Test Calculator
Test an entered mean difference against two prespecified equivalence bounds using two one-sided Student t tests.
YOUR CALCULATION
Result
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Calculation steps
Work through one step at a time or reveal the complete calculation. The steps use your current inputs.
How to calculate
Use mean/SE statistics at both equivalence boundaries and require both one-sided p-values below the chosen alpha.
tL=(mean−lower)/SE; tU=(mean−upper)/SE; pTOST=max(pL,pU)
Worked example
The default differences have mean 0, sample SE about 0.0707107 and bounds −0.5,0.5. Both one-sided boundary tests fall below 5%, while the displayed corresponding interval is 90%.
Assumptions and input details
3–500 independent differences in consistent units, lower bound strictly below upper. Bounds must be substantively prespecified, not selected after inspecting data. Normal-difference assumptions matter for small samples. The corresponding mean interval has level 1−2α; zero sample variance leaves inference undefined. This differs from a conventional no-difference test; a nonsignificant difference does not establish equivalence.
References: statsmodels: paired two-one-sided equivalence test
Using this calculator
Can I enter my own problem?
Yes. Replace the example values with your own inputs. The result, calculation steps, tables and applicable diagrams update from those inputs. Blank or invalid values clear the result; example values are never silently substituted for missing inputs.
Are the results exact?
Results use floating-point arithmetic and displayed rounding. Read the formula, assumptions and any stated data precision before interpreting the result.
Is my input uploaded?
The calculation runs in your browser. No account, file upload or external AI service is required. Inputs are not saved between page reloads.
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