Calculate Prediction Interval for a Correlation Coefficient

This function calculates the prediction interval for a correlation coefficient based on the Fisher's Z-transformation. It uses the approach proposed in the supplementary materials of Patil et al. (2016).

Usage

calculate_prediction_interval(r, n_o, n_r = n_o, confidence_level = 0.95)

Arguments

r

Numeric. The correlation coefficient from the original study.

n_o

Integer. The sample size of the original study.

n_r

Integer. The sample size of the replication study. Defaults to the same as n_o.

confidence_level

Numeric. The confidence level for the prediction interval. Defaults to 0.95.

Value

A named numeric vector with two elements:

lower

The lower bound of the prediction interval.

upper

The upper bound of the prediction interval.

References

Patil, P., Peng, R. D., & Leek, J. T. (2016). A statistical framework for enhancing reproducibility in data analysis. Perspectives on Psychological Science, 11(5), 633-640. https://doi.org/10.1177/1745691616646366

Examples

# Example usage:
r <- 0.5   # Correlation coefficient
n_o <- 30  # Sample size of the original study
n_r <- 30  # Sample size of the replication study

calculate_prediction_interval(r, n_o, n_r)
#> $lower
#> [1] 0.01587018
#> 
#> $upper
#> [1] 0.7942133
#>