Calculation and Conversion of Correlation Coefficient as Effect Measure

Scenario 1: Calculating Standard Error and Confidence Interval of the Correlation Coefficient [1]
Correlation Coefficient Sample size
Confidence Level

Result: Correlation Coefficient Standard Error
Confidence Interval        Lower Limit    Upper Limit
Result: Fisher Z Standard Error
Confidence Interval          Lower Limit    Upper Limit
Scenario 2: Estimating Point-Biserial Correlation Coefficient Based on Independent Sample t-Test [2,4]
Sample Size
                    Confidence Level

Result Correlation Coefficient Standard Error
Confidence Interval        Lower Limit    Upper Limit
Scenario 3: Estimating Point-Biserial Correlation Coefficient Based on Standardized Mean Difference and Standard Error [3-4]
Standardized Mean Difference
Standard Error
  Group 1 Sample Size
  Group 2 Sample Size
                    Confidence Level

Result Correlation Coefficient Standard Error
Confidence interval        Lower limit    Upper limit

Reference:

[1] Rosner, Bernard (Bernard A.). Fundamentals of Biostatistics. Boston :Brooks/Cole, Cengage Learning, 2011.
[2] Lipsey, Mark W, and David B Wilson. 2001. Practical Meta-Analysis. SAGE.
[3] Polanin, J.R. and Snilstveit, B. (2016), Converting between effect sizes. Campbell Systematic Reviews, 12: 1-13. https://doi.org/10.4073/cmpn.2016.3
[4] Lakens D (2013) Calculating and reporting effect sizes to facilitate cumulative science: a practical primer for t-tests and ANOVAs. Front. Psychol. 4:863. doi: 10.3389/fpsyg.2013.00863