I'm utilizing R's metacor function from the meta package (Balduzzi et al., 2019) for correlational meta-analysis using Fisher's z transformation. I aim to extract specific metacor object elements. However, when extracting individual elements like aggregated correlation, confidence interval, etc., the values slightly diverge from the print and summary function outputs of the metacor object. Additionally, I cannot locate the values from these functions within the metacor object elements.

This mismatch could stem from metacor converting correlations to Fisher's z values and then back-transforming them. My objective is to extract values, e.g., confidence intervals, prediction intervals, after back-transformation, i.e, I want values that align with the print and summary outputs. Seeking guidance on how to extract these back-transformed values from the metacor object/ or the print and summary outputs.

Appreciate your assistance, thank you very much!