method

β1 (se)

β2 (se)

β3 (se)

β4 (se)

β5 (se)

Ordinary linear regression on the pooled dataset (n = 768 subjects)

0.067157

(0.057144)

−0.319836

(0.077137)

0.102682

(0.009834)

0.771217

(0.144281)

0.664185

(0.090638)

Meta-analysis (k = 10 studies), using the actual variance-covariance matrix

0.077151

(0.066722)

−0.377597

(0.1288864)

0.108197

(0.012404)

0.818003

(0.156274)

0.657785

(0.118143)

Meta-analysis (k = 10 studies), using the actual variance estimates and assuming zero correlation

0.089251

(0.071367)

−0.374107

(0.131523)

0.110964

(0.012804)

0.819255

(0.156134)

0.657269

(0.114043)

Meta-analysis (k = 10 studies), using the actual variance estimates and the alternative model of Riley

0.024612

(0.055657)

−0.206025

(0.107372)

0.095521

(0.007975)

0.880839

(0.155768)

0.718012

(0.141181)

Meta-analysis (k = 10 studies), using the actual variance estimates and assuming a plausible correlation

0.071282

(0.065038)

−0.346298

(0.124092)

0.107940

(0.011789)

0.826325

(0.160682)

0.667961

(0.121064)

Meta-analysis (k = 10 studies), using a random coefficient model and Individual Patients Data (IPD)

0.078416

(0.064406)

−0.365146

(0.103916)

0.105337

(0.010688)

0.801249

(0.142996)

0.631803

(0.098856)