Go to calculators
calcmintly

Confidence interval for correlation

Use Fisher z transform take estimate Pearson correlation interval.

Add to workspace

Your numbers

Calculations dey happen locally. Results na estimates, no be professional advice.

Lower bound for di correlation

—

This approximation assume independent paired observations and data wey approximately follow bivariate normal distribution.

Formula

Use tanh[atanh(r)±z/√(n−3)]. r na sample Pearson correlation, n na paired observation count, and z na di two-sided standard-normal critical value for di confidence wey you choose. Di transforms dey convert between correlation and Fisher scale.

Use Fisher z transform take estimate Pearson correlation interval.

Example wey show the calculation

Sample correlation wey be r
0
Observations wey come as pairs
30
Di confidence level (%)
95
Lower bound for di correlation
-0.360269222596
Upper bound for di correlation
0.360269222596

Where e fit work and limits

This approximation assume independent paired observations and data wey approximately follow bivariate normal distribution.

We check inputs for missing values and allowed ranges. Result wey pass the finite numeric range no go show. Rounding affect wetin display, while calculation use the model numeric precision.

Check your units and assumptions before you rely on result. Changing label no convert currency or physical unit.

Version of di formula: 298fb2aab2da · Example don get check:

Method

Other tools wey relate to dis