Estimate the standardized mean difference (SMD), standard error (SE), and confidence interval (CI).

Scenario 1: Using Sample Sizes, Means, and Standard Deviations for Two Groups [1,2,3]
Sample Size (Group 1) Mean Standard deviation
Sample Size (Group 2) Mean Standard deviation
Method

                    Confidence Level

Result Standardized Mean Difference Standard Error
Confidence Interval           Lower limit    Upper limit
Scenario 2: Using Regression Coefficient and Standard Deviation of Dependent Variable  [1,2,3]
Standard Deviation of Dependent Variable
     Sample Size (Group 1)
     Sample Size (Group 2)
Method

                    Confidence Level

Result Standardized Mean Difference Standard Error
Confidence Interval               Lower limit    Upper limit
Scenario 3: Using Point-Biserial Correlation Coefficient [5]
Sample Size (Group 1)
Sample Size (Group 2)
Method

                    Confidence Level

 

Result Standardized Mean Difference Standard Error
Confidence Interval               Lower limit    Upper limit
Scenario 4: Using t-Statistic from Independent Samples t-Test  [4,6,7]
              t-value
Sample Size (Group 1)
Sample Size (Group 2)
Method

                    Confidence Level

Result Standardized Mean Difference Standard Error
Confidence Interval               Lower limit    Upper limit
Scenario 5: Using F-Statistic from ANOVA for Two Independent Samples [4,6,7]
Sample Size (Group 1)
Sample Size (Group 2)
Method

                    Confidence Level

Result Standardized Mean Difference Standard Error
Confidence Interval               Lower limit    Upper limit
Scenario 6: Using Standardized Mean Difference and P-Value to calculate Standard Error and Confidence Interval  [8]
Standardized Mean Difference
 P-value
                    Confidence Level

Result Standardized Mean Difference Standard Error
Confidence Interval Lower limit    Upper limit

Reference:

[1] Lipsey, Mark W, and David B Wilson. 2001. Practical Meta-Analysis. SAGE.
[2] Michael Borenstein, and Larry V.Hedges et, al. 2013. Introduction to Meta-analysis. Chapter 4 and Chapter 7.
[3] Daniel Lüdecke.2019. esc: Effect Size Computation for Meta Analysis (Version 0.5.1). https://CRAN.R-project.org/package=esc.
[4] Rosnow, R. L., Rosenthal, R., and Rubin, D. B. (2000). Contrasts and correlations in effect-size estimation. Psychological Science, 11(6):446–453.
[5] Mathur MB, VanderWeele TJ. A Simple, Interpretable Conversion from Pearson's Correlation to Cohen's for d Continuous Exposures. Epidemiology. 2020;31(2):e16-e18. doi:10.1097/EDE.0000000000001105
[6] 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
[7] Thalheimer, W. and Cook, S. (2002). How to calculate effect sizes from published research:A simplified methodology.
[8] Altman, D. G. and Bland, J. M. (2011). How to obtain the confidence interval from a P value. BMJ, 343:d2090.