R to Z Score Calculator
Instantly convert correlation coefficients (r) to z-scores using Fisher transformation with precision and statistical significance
Fisher Z-Transformation Formula
z = 0.5 × ln((1 + r) / (1 - r))
Where r is the correlation coefficient and ln is the natural logarithm
Conversion Results
r
Correlation Coefficient
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z
Z-Score
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p
Significance (p-value)
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SE
Standard Error
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Statistical Interpretation
Enter values to see statistical interpretation
Compare Multiple Correlations
Academic Reference
The Fisher z-transformation is used to stabilize the variance of Pearson's correlation coefficient and make its distribution approximately normal. This transformation is particularly useful for hypothesis testing and constructing confidence intervals for correlation coefficients.
Fisher, R.A. (1915). "Frequency distribution of the values of the correlation coefficient in samples from an indefinitely large population". Biometrika. 10 (4): 507–521.
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