Harnessing the power of excess statistical significance: Weighted and iterative least squares

• Published in: Psychological methods Vol. 29; no. 2; p. 407
• Main Authors: Stanley, T D, Doucouliagos, Hristos
• Format: Journal Article
• Language: English
• Published: United States 01.04.2024
• Subjects: Data Interpretation, Statistical; Humans; Least-Squares Analysis; Meta-Analysis as Topic; Models, Statistical; Psychology - methods; Publication Bias - statistics & numerical data

We introduce a new meta-analysis estimator, the weighted and iterated least squares (WILS), that greatly reduces publication selection bias (PSB) when selective reporting for statistical significance (SSS) is present. WILS is the simple weighted average that has smaller bias and rates of false posit...