TY - JOUR PY - 2023// TI - Recalibrating single-study effect sizes using hierarchical Bayesian models JO - Frontiers in neuroimaging A1 - Cao, Zhipeng A1 - McCabe, Matthew A1 - Callas, Peter A1 - Cupertino, Renata B. A1 - Ottino-Gonzalez, Jonatan A1 - Murphy, Alistair A1 - Pancholi, Devarshi A1 - Schwab, Nathan A1 - Catherine, Orr A1 - Hutchison, Kent A1 - Cousijn, Janna A1 - Dagher, Alain A1 - Foxe, John J. A1 - Goudriaan, Anna E. A1 - Hester, Robert A1 - Li, Chiang-Shan R. A1 - Thompson, Wesley K. A1 - Morales, Angelica M. A1 - London, Edythe D. A1 - Lorenzetti, Valentina A1 - Luijten, Maartje A1 - Martin-Santos, Rocio A1 - Momenan, Reza A1 - Paulus, Martin P. A1 - Schmaal, Lianne A1 - Sinha, Rajita A1 - Solowij, Nadia A1 - Stein, Dan J. A1 - Stein, Elliot A. A1 - Uhlmann, Anne A1 - van Holst, Ruth J. A1 - Veltman, Dick J. A1 - Wiers, Reinout W. A1 - Yücel, Murat A1 - Zhang, Sheng A1 - Conrod, Patricia A1 - Mackey, Scott A1 - Garavan, Hugh SP - e1138193 EP - e1138193 VL - 2 IS - N2 - INTRODUCTION: There are growing concerns about commonly inflated effect sizes in small neuroimaging studies, yet no study has addressed recalibrating effect size estimates for small samples. To tackle this issue, we propose a hierarchical Bayesian model to adjust the magnitude of single-study effect sizes while incorporating a tailored estimation of sampling variance.

METHODS: We estimated the effect sizes of case-control differences on brain structural features between individuals who were dependent on alcohol, nicotine, cocaine, methamphetamine, or cannabis and non-dependent participants for 21 individual studies (Total cases: 903; Total controls: 996). Then, the study-specific effect sizes were modeled using a hierarchical Bayesian approach in which the parameters of the study-specific effect size distributions were sampled from a higher-order overarching distribution. The posterior distribution of the overarching and study-specific parameters was approximated using the Gibbs sampling method.

RESULTS: The results showed shrinkage of the posterior distribution of the study-specific estimates toward the overarching estimates given the original effect sizes observed in individual studies. Differences between the original effect sizes (i.e., Cohen's d) and the point estimate of the posterior distribution ranged from 0 to 0.97. The magnitude of adjustment was negatively correlated with the sample size (r = -0.27, p < 0.001) and positively correlated with empirically estimated sampling variance (r = 0.40, p < 0.001), suggesting studies with smaller samples and larger sampling variance tended to have greater adjustments.

DISCUSSION: Our findings demonstrate the utility of the hierarchical Bayesian model in recalibrating single-study effect sizes using information from similar studies. This suggests that Bayesian utilization of existing knowledge can be an effective alternative approach to improve the effect size estimation in individual studies, particularly for those with smaller samples.

Language: en

LA - en SN - 2813-1193 UR - http://dx.doi.org/10.3389/fnimg.2023.1138193 ID - ref1 ER -