ToolJovia
Math

Student t Mean Comparison Workbench

Compare a sample mean, paired differences or independent Welch means with explicit t-model uncertainty.

✓ Browser-local processing

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How to use Student t Mean Comparison Workbench

Exact sample centering supplies means and sums of squares before numerical standard-error calculations. One-sample and paired modes use n−1 degrees of freedom; Welch mode uses unequal-variance Satterthwaite degrees. A two-sided tail and confidence interval use the t distribution.

  1. Enter model json (schema and units below).
  2. Choose the stated convention and check the units and supported model.
  3. Calculate, inspect the result, then copy or download it.

Good to know

  • Plain decimal JSON numbers or strings, at most six fractional places, magnitude at most 1,000,000,000; raw numeric spellings and duplicate object members are checked. Exact rational arithmetic is capped at 8,192 bits. Text is at most 30,000 characters; a local JSON download preserves exact fractions or full stored approximate numbers. 2–500 values per used sample; one-sample second is []. Confidence 0.5–0.999; zero standard error is refused. Independent sampling and approximately normal observations or differences are assumptions; no automatic decision, multiplicity adjustment or causal/clinical advice.
  • Local calculation only; no input persistence or external lookup. Text/JSON is limited to 30000 characters and output to 1000000 characters. Numeric model inputs and precision/work limits are stated on this page. Approximate JSON numbers retain full stored values; exact arithmetic outputs retain decimal or fraction strings. Unsupported states fail explicitly.

Common questions

Does Welch require equal sample variances?

No. It estimates the standard error from both sample variances separately. The sampling assumptions still need review.

Is the input uploaded or saved?

No. The tool calculates inside this browser tab and provides a local download; it does not persist your input.

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