Use this calculation to reproduce a defined quantitative method when the observations, units, sampling process, and assumptions match the method shown here.

Correlation

Required number.

The cited overview of Statistics supplies background for the terminology and domain context used by this tool.^[1]

Transform a correlation coefficient with the Fisher inverse hyperbolic tangent. Inputs are interpreted exactly in the displayed units and the calculation returns the following fields without presentation rounding.

Fisher z

Returned number.

• A numerical result does not by itself establish data quality, causation, representativeness, independence, distributional fit, or practical significance.
• Correlation must be at least -1.
• Correlation must be no greater than 1.
• Use finite inputs in the displayed units, preserve source measurements and assumptions, and independently verify consequential decisions.

Inspect the underlying data, visualize its distribution, report uncertainty and sample size, and compare the result with a robust or domain-specific method where appropriate.

• Pearson Correlation Calculator

  Calculate Pearson's linear correlation coefficient for two paired numeric series.

• Coefficient of Determination Calculator

  Calculate R² from paired observed and predicted values.

• Coefficient of Range Calculator

  Calculate the range divided by the sum of maximum and minimum values.