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THE FEUTEX TOOLKIT

Paired Difference Test Statistic

Calculate a paired-sample test statistic from the mean and standard deviation of paired differences.

Statistics workspace● Runs in your browser
01 Your input
02 Your result
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FormulaT = (mean-null)*sqrt(n)/sd; Df = n-1; Effect Dz = mean/sd
Sources and model references

Worked example

Inputs

Mean paired difference
2 value
SD of differences
4 value
Complete pairs
16 pairs
Null mean difference
0 value

Expected results

T
2 number
Df
15 number
Effect Dz
0.5 number

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter the labeled inputs using consistent units.
  2. Check the stated assumptions and calculate.
  3. Review each output and compare another input scenario.

Try this example

{
  "mean": 2,
  "sd": 4,
  "n": 16,
  "null": 0
}

Accuracy and scope

Requires SD of within-pair differences, not either group SD. No p-value computed. Finite floating-point arithmetic; results can lose precision near singular or extreme inputs.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.