Two substantial and momentous problems in meta-analysis are publication bias and researcher degrees of freedom. Both problems result in overestimation of the effect size in traditional meta-analysis, particularly in small studies that are ubiquitous in psychology. This project proposes developing a new meta-analysis method that (i) detects publication bias, (ii) provides an accurate estimate of effect size whenever there is publication bias, and (iii) does not overestimate effect size in case of researcher degrees of freedom. The proposed method will be straightforward to implement since it only uses regular study characteristics used in any meta-analysis.