Pearson Correlation Interval Explorer
Calculate an approximate Fisher-transformed 95% interval for independent paired measurements.
Your entries stay in this page’s memory and are not submitted to us. Downloads are generated locally. Reloading or leaving the page clears your entries. Do not enter patient information.
Explore an approximate 95% confidence interval for Pearson correlation. All default values are fictional.
Calculation results
Approximate 95% interval: 0.170431 to 0.728959
Fisher z: 0.549306; z-scale SE: 0.19245
Assumptions and limits
Fisher z = atanh(r), SE = 1/√(n−3); transform z ± 1.95996398454 SE back with tanh. Requires independent pairs and an approximately bivariate normal sampling model. Not for Spearman correlation, repeated measurements, or causal conclusions. n must be an integer from 4 to 10 million; r must be strictly between −1 and 1. Perfect sample correlations need separate assessment; rejecting them here does not mean the data are invalid.
SciPy: Pearson correlation and Fisher intervals · Read the practical guide · Download blank worksheet (TXT)