I am conducting a meta-analysis but the raw study coefficients are probit coefficients. I am planning to convert these to log odds to meta-analyse through the formula: 1.61 * probit_coefficient.
Q1) Is this conversion correct?
Q2) Also, is it appropriate to then convert the standard errors of the probit coefficients to log odds standard errors via 1.61*probit_SE?
Q3) And then calculate the variance for the log odds as logodds_SE^2 * sample_size?