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This supplementary file includes an algorithm to improve efficiency when within-study covariance matrices are reported (Appendix A); the detailed form of the variance estimator of the proposed method (Appendix B); the estimation algorithm and the variance estimator of the model assuming equal between-study variances across treatment comparisons (Appendix C); the modified formulation of the model to relax the consistency assumption (Appendix D); an example to show the limitation of the radar plot (Appendix E), which motivated our proposed origami plot; additional results for the labor induction NMA (Appendix F); regularity conditions and the sketch proof of Theorem 1 (Appendix G); additional lemmas with proofs about the convergence properties of the proposed algorithm (Appendix H); additional simulation results (Appendix I); and some simple calculations (Appendix J).