Research Article
Meta‐analysis of single‐arm survival studies: a distribution‐free approach for estimating summary survival curves with random effects
Abstract
In epidemiologic studies and clinical trials with time‐dependent outcome (for instance death or disease progression), survival curves are used to describe the risk of the event over time. In meta‐analyses of studies reporting a survival curve, the most informative finding is a summary survival curve. In this paper, we propose a method to obtain a distribution‐free summary survival curve by expanding the product‐limit estimator of survival for aggregated survival data. The extension of DerSimonian and Laird's methodology for multiple outcomes is applied to account for the between‐study heterogeneity. Statistics I2 and H2 are used to quantify the impact of the heterogeneity in the published survival curves. A statistical test for between‐strata comparison is proposed, with the aim to explore study‐level factors potentially associated with survival. The performance of the proposed approach is evaluated in a simulation study. Our approach is also applied to synthesize the survival of untreated patients with hepatocellular carcinoma from aggregate data of 27 studies and synthesize the graft survival of kidney transplant recipients from individual data from six hospitals. Copyright © 2014 John Wiley & Sons, Ltd.
Citing Literature
Number of times cited according to CrossRef: 19
- Kelu Hou, Zhiying Yu, Yueping Jia, Huihui Fang, Shuai Shao, Lin Huang, Yufei Feng, Efficacy and safety of ibrutinib in diffuse large B-cell lymphoma: A single-arm meta-analysis, Critical Reviews in Oncology/Hematology, 10.1016/j.critrevonc.2020.103010, (103010), (2020).
- Wei Phin Tan, Wei Shen Tan, Brant A. Inman, PD-L1/PD-1 Biomarker for Metastatic Urothelial Cancer that Progress Post-platinum Therapy: A Systematic Review and Meta-analysis, Bladder Cancer, 10.3233/BLC-190238, (1-13), (2019).
- Marine Lorent, Haïfa Maalmi, Philippe Tessier, Stéphane Supiot, Etienne Dantan, Yohann Foucher, Meta-analysis of predictive models to assess the clinical validity and utility for patient-centered medical decision making: application to the CAncer of the Prostate Risk Assessment (CAPRA), BMC Medical Informatics and Decision Making, 10.1186/s12911-018-0727-2, 19, 1, (2019).
- Giuseppe Cabibbo, Alessandro Cucchetti, Calogero Cammà, Andrea Casadei-Gardini, Ciro Celsa, Giacomo Emanuele Maria Rizzo, Philip Johnson, Giorgio Ercolani, Outcomes of hepatocellular carcinoma patients treated with sorafenib: a meta-analysis of Phase III trials, Future Oncology, 10.2217/fon-2019-0287, (2019).
- C.L. Poh, Y. d’Udekem, Life After Surviving Fontan Surgery: A Meta-Analysis of the Incidence and Predictors of Late Death, Heart, Lung and Circulation, 10.1016/j.hlc.2017.11.007, 27, 5, (552-559), (2018).
- Arndt Vogel, Stefan Kasper, Michael Bitzer, Andreas Block, Marianne Sinn, Henning Schulze-Bergkamen, Markus Moehler, Nicole Pfarr, Volker Endris, Benjamin Goeppert, Kirsten Merx, Elisabeth Schnoy, Jens T. Siveke, Patrick Michl, Dirk Waldschmidt, Jan Kuhlmann, Michael Geissler, Christoph Kahl, Ralph Evenkamp, Torben Schmidt, Alexander Kuhlmann, Wilko Weichert, Stefan Kubicka, PICCA study: panitumumab in combination with cisplatin/gemcitabine chemotherapy in KRAS wild-type patients with biliary cancer—a randomised biomarker-driven clinical phase II AIO study, European Journal of Cancer, 10.1016/j.ejca.2017.12.028, 92, (11-19), (2018).
- Matteo Tacelli, Ciro Celsa, Bianca Magro, Luca Barresi, Salvatore Guastella, Gabriele Capurso, Luca Frulloni, Giuseppe Cabibbo, Calogero Cammà, Risk Factors for Rate of Relapse and Effects of Steroid Maintenance Therapy in Patients With Autoimmune Pancreatitis: Systematic Review and Meta-Analysis, Clinical Gastroenterology and Hepatology, 10.1016/j.cgh.2018.09.051, (2018).
- Yaru Liang, Chang Liu, Maoyang Lu, Qiongye Dong, Zimu Wang, Zhuoran Wang, Wenxiang Xiong, Nannan Zhang, Jiawei Zhou, Qingfei Liu, Xiaowo Wang, Zhao Wang, Calorie restriction is the most reasonable anti-ageing intervention: a meta-analysis of survival curves, Scientific Reports, 10.1038/s41598-018-24146-z, 8, 1, (2018).
- Zi Yin, Yu Zhou, Baohua Hou, Tingting Ma, Min Yu, Chuanzhao Zhang, Xin Lu, Zhixiang Jian, Revision of Surgical Margin under Frozen Section to Achieve R0 Status on Survival in Patients with Pancreatic Cancer, Journal of Gastrointestinal Surgery, 10.1007/s11605-018-3806-x, 22, 9, (1565-1575), (2018).
- Panagiotis M. Kitrou, Konstantinos Katsanos, Panagiotis Papadimatos, Stavros Spiliopoulos, Dimitris Karnabatidis, A survival guide for endovascular declotting in dialysis access: procedures, devices, and a statistical analysis of 3,000 cases, Expert Review of Medical Devices, 10.1080/17434440.2018.1454311, 15, 4, (283-291), (2018).
- Boris Itkin, Samanta Straminsky, Gabriela De Ronato, Daniel Lewi, Adolfo Marantz, Ariel Bardach, Prognosis of metastatic giant cell tumor of bone in the pre-denosumab era. A systematic review and a meta-analysis, Japanese Journal of Clinical Oncology, 10.1093/jjco/hyy067, 48, 7, (640-652), (2018).
- Min Soo Choo, Myong Kim, Ja Hyeon Ku, Cheol Kwak, Hyeon Hoe Kim, Chang Wook Jeong, Extended versus Standard Pelvic Lymph Node Dissection in Radical Prostatectomy on Oncological and Functional Outcomes: A Systematic Review and Meta-Analysis, Annals of Surgical Oncology, 10.1245/s10434-017-5822-6, 24, 7, (2047-2054), (2017).
- Giuseppe Cabibbo, Salvatore Petta, Marco Barbàra, Gabriele Missale, Roberto Virdone, Eugenio Caturelli, Fabio Piscaglia, Filomena Morisco, Antonio Colecchia, Fabio Farinati, Edoardo Giannini, Franco Trevisani, Antonio Craxì, Massimo Colombo, Calogero Cammà, Laura Bucci, Marco Zoli, Francesca Garuti, Barbara Lenzi, Maurizio Biselli, Paolo Caraceni, Alessandro Cucchetti, Annagiulia Gramenzi, Alessandro Granito, Donatella Magalotti, Carla Serra, Giulia Negrini, Lucia Napoli, Veronica Salvatore, Francesca Benevento, Luisa Benvegnù, Alessia Gazzola, Francesca Murer, Caterina Pozzan, Veronica Vanin, Alessandro Moscatelli, Gaia Pellegatta, Antonino Picciotto, Vincenzo Savarino, Francesca Ciccarese, Paolo Poggio, Stefano Olmi, Nicoletta Matthaeis, Mariella Di Marco Claudia Balsamo, Elena Vavassori, Paola Roselli, Serena Dell’Isola, Anna Maria Ialungo, Elena Rastrelli, Simona Attardo, Margherita Rossi, Andrea Costantino, Andrea Affronti, Marco Affronti, Marta Mascari, Martina Felder, Andrea Mega, Antonio Gasbarrini, Maurizio Pompili, Emanuele Rinninella, Rodolfo Sacco, Valeria Mismas, Francesco Giuseppe Foschi, Anna Chiara Dall’Aglio, Valentina Feletti, Arianna Lanzi, Federica Mirici Cappa, Elga Neri, Giuseppe Francesco Stefanini, Stefano Tamberi, Andrea Olivani, Elisabetta Biasini, Gerardo Nardone, Maria Guarino, Gialuca Svegliati‐Baroni, Alessio Ortolani, Alberto Masotto, Fabiana Marchetti, Matteo Valerio, Fabio Marra, Sami Aburas, Andrea L Inghilesi, Alberta Cappelli, Rita Golfieri, Cristina Mosconi, Matteo Renzulli, Piero Coccoli, Marco Sanduzzi Zamparelli, A meta‐analysis of single HCV‐untreated arm of studies evaluating outcomes after curative treatments of HCV‐related hepatocellular carcinoma, Liver International, 10.1111/liv.13357, 37, 8, (1157-1166), (2017).
- Prabin Dahal, Julie A. Simpson, Grant Dorsey, Philippe J. Guérin, Ric N. Price, Kasia Stepniewska, Statistical methods to derive efficacy estimates of anti-malarials for uncomplicated Plasmodium falciparum malaria: pitfalls and challenges, Malaria Journal, 10.1186/s12936-017-2074-7, 16, 1, (2017).
- Olha Bodnar, Alfred Link, Barbora Arendacká, Antonio Possolo, Clemens Elster, Bayesian estimation in random effects meta‐analysis using a non‐informative prior, Statistics in Medicine, 10.1002/sim.7156, 36, 2, (378-399), (2016).
- Anne‐Hélène Querard, Yohann Foucher, Christophe Combescure, Etienne Dantan, David Larmet, Marine Lorent, Lise‐Marie Pouteau, Magali Giral, Florence Gillaizeau, Comparison of survival outcomes between Expanded Criteria Donor and Standard Criteria Donor kidney transplant recipients: a systematic review and meta‐analysis, Transplant International, 10.1111/tri.12736, 29, 4, (403-415), (2016).
- Lorenzo A. Orci, Jeremy Meyer, Christophe Combescure, Leo Bühler, Thierry Berney, Philippe Morel, Christian Toso, A meta‐analysis of extended versus standard lymphadenectomy in patients undergoing pancreatoduodenectomy for pancreatic adenocarcinoma, HPB, 10.1111/hpb.12407, 17, 7, (565-572), (2015).
- Andrea Mancuso, Alessandra Mazzola, Giuseppe Cabibbo, Giovanni Perricone, Marco Enea, Antonio Galvano, Claudio Zavaglia, Luca Belli, Calogero Cammà, Survival of patients treated with sorafenib for hepatocellular carcinoma recurrence after liver transplantation: A systematic review and meta-analysis, Digestive and Liver Disease, 10.1016/j.dld.2015.01.001, 47, 4, (324-330), (2015).
- Sameh Mikhail, David Cosgrove, Amer Zeidan, Hepatocellular carcinoma: systemic therapies and future perspectives, Expert Review of Anticancer Therapy, 10.1586/14737140.2014.949246, 14, 10, (1205-1218), (2014).
