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MATH / CORRELATION INFERENCE

Fisher Correlation Confidence Interval Calculator

Calculate a Fisher-transformed confidence interval for a Pearson correlation. Review the equation, substituted values, result, assumptions, and interpretation in one guided workspace.

  • 01 Calculated in this tab
  • 02 Values stay in this browser tab
  • 03 Use boundary

Conversion input

Known value

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Calculation path

Calculate a Fisher-transformed confidence interval for a Pearson correlation. The page evaluates the displayed equation from your supplied values and presents both symbolic and substituted KaTeX working so the arithmetic can be checked.

Calculation path

z_r=0.5ln((1+r)/(1-r)); z_r+/-z*/sqrt(n-3)

What you provide

What you provide

  • Sample correlation, using the same scenario as the other inputs
  • Pair count, using the same scenario as the other inputs
  • Critical z value, using the same scenario as the other inputs

What you receive

What you receive

  • Lower correlation bound from the stated equation
  • A symbolic formula plus substituted working with your values
  • Visible assumptions, field guidance, and an authoritative learning reference

Use boundary

Choose the maximum decimal places shown. This does not increase source accuracy.

Use one consistent dataset or scale and verify statistical or geometric assumptions before interpretation.

Use internally consistent units and retain extra precision when carrying the result into another calculation.

Reviewed reference factors

Reviewed reference factors