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THE FEUTEX TOOLKIT

Correlation Fisher Interval

Construct an approximate Fisher-transformed confidence interval for a Pearson correlation.

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FormulaFisher Z = atanh(r); Lower = tanh(atanh(r)-z/sqrt(n-3)); Upper = tanh(atanh(r)+z/sqrt(n-3))
Sources and model references

Worked example

Inputs

Sample correlation
0.5 correlation
Sample pairs
103 pairs
Normal critical value
1.96 number

Expected results

Fisher Z
0.5493061443 number
Lower
0.3393043356 number
Upper
0.6323403119 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

{
  "r": 0.5,
  "n": 103,
  "z": 1.96
}

Accuracy and scope

Approximate Fisher transformation interval; assumes independent paired observations and approximately bivariate normal data. 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.