Sample Size and Statistical Power in Network Meta-analysis: An Introduction of Theory, Computational Principles and Software Implementation_Chinese Journal of Evidence-Based Medicine

Authors：

 TIANXu ^1,2 ,  YILi-juan ¹ , SONGGuo-min ³ , WANGXin-tian ⁴ , ZHANGChao ⁵ ,  ZENGXian-tao ^2,5

1. Graduate College, Tianjin University of Traditional Chinese Medicine, Tianjin 300193, China;
2. Center for Evidence-Based and Translational Medicine, Zhongnan Hospital, Wuhan University, Wuhan 430071, China;
3. Department of Nursing, Tianjin Hospital, Tianjin 300211, China;
4. Department of Nursing, Medical College, Northwest University for Nationalities, Lanzhou 730030, China;
5. Center for Evidence-based Medicine and Clinical Research, Taihe Hospital, Hubei University of Medicine, Shiyan 442000, China;

Corresponding author：

ZENGXian-tao, Email: zengxiantao1128@163.com

Keywords：

Network meta-analysis; Sample size; Statistical power

DOI：

10.7507/1672-2531.20150098

Video：

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Network meta-analysis (NMA) is a new statistical approach which comes from head to head meta-analysis. Hence, NMA inherits all methodology challenges of head to head meta-analysis and with increased complexity results due to more intervention treatments involved. The issue of sample size and statistical power in individual trial and head to head meta-analysis is widely emphasized currently; however, they are not been paid due attention in NMA. This article aims to introduce the theory, computational principles and software implementation using examples with step by step approach.

Citation： TIANXu, YILi-juan, SONGGuo-min, WANGXin-tian, ZHANGChao, ZENGXian-tao. Sample Size and Statistical Power in Network Meta-analysis: An Introduction of Theory, Computational Principles and Software Implementation. Chinese Journal of Evidence-Based Medicine, 2015, 15(5): 592-599. doi: 10.7507/1672-2531.20150098 Copy

1.	曾宪涛, 曹世义, 孙凤, 等. Meta分析系列之六:间接比较及网状Meta分析. 中国循证心血管医学杂志, 2012, 4(5):399-402.
2.	曾宪涛, 张超, 邝心颖, 等. 基于使用的网状Meta分析软件的比较研究与选择. 中国循证医学杂志, 2014, 14(10):1270-1275.
3.	李伦, 田金徽, 杨克虎. 网状Meta分析相关术语和定义的研究. 中国药物评价, 2014, 31(6):321-326.
4.	刘国伟, 于莉莉, 贾红霞, 等. 系统评价中的间接比较与网状Meta分析方法研究进展. 中国循证医学杂志, 2014, 14(10):1276-1280.
5.	曾宪涛, 冷卫东, 郭毅, 等. Meta分析系列之一:Meta分析的类型. 中国循证心血管医学杂志, 2012, 4(1):3-5.
6.	曾宪涛, 张超, 郭毅. R软件R2WinBUGS程序包在网状Meta分析中的应用. 中国循证医学杂志, 2013, 13 (9):1137-1144.
7.	张超, 陶华, 李胜, 等. 应用Stata软件mvmeta程序包能实现网状Meta分析. 中国循证医学杂志, 2014, 14(9):1150-1159.
8.	曾宪涛, 张超, 邝心颖, 等. 基于使用的网状Meta分析软件的比较研究与选择. 中国循证医学杂志, 2014, 14(10):1270-1275.
9.	李胜, 张超, 陈晓凡, 等. 应用Microsoft Excel软件NetMetaXL宏命令实现网状Meta分析. 中国循证医学杂志, 2014, 14(11):1396-1401.
10.	张超, 鄢金柱, 孙凤, 等. 网状Meta分析一致性的鉴别与处理方法. 中国循证医学杂志, 2014, 14(7):884-888.
11.	罗杰, 冷卫东, 主编. 系统评价/Meta分析理论与实践. 北京:军事医学科学出版社, 2013.
12.	Sutton AJ, Higgins JP. Recent developments in meta-analysis. Stat Med, 2008, 27(5):625-650.
13.	Cipriani A, Higgins JPT, Geddes JR, et al. Conceptual and technical challenges in network meta-analysis. Ann Intern Med, 2013, 159(2):130-137.
14.	田旭, 曾子, 毛智, 等. 应用SAS软件宏命令实现Meta分析统计效能计算. 中国循证医学杂志, 2015, 15(1):110-115.
15.	Hedges LV, Pigott TD. The Power of Statistical Tests for Moderators in Meta-Analysis. Psychol Methods, 2004, 9(4):426-445.
16.	Cafri G, Kromrey JD, Brannick MT. A SAS macro for statistical power calculations in meta-analysis. Behav Res Methods, 2009, 41(1):35-46.
17.	Salanti G, Higgins JP, Ades AE, et al. Evaluation of networks of randomized trials. Stat Methods Med Res, 2008, 17(3):279-282.
18.	Lumley T. Network met-analysis for indirect treatment comparisons. Stat Med, 2002, 21(16):2313-2324.
19.	Mills EJ, Ghement I, O'Regan C, et al. Estimating the power of indirect comparisons:a simulation study. Plos One, 2011, 6:e16237.
20.	Mills EJ, Ioannidis JPA, Throlund K, et al. How to use an article reporting multiple treatment comparison meta-analysis. JAMA, 2012, 308(12):1246-1253.
21.	Thorlund K, Mills EJ. Sample size and power consideration in network meta-analysis. Systematic Review, 2012, 1:41.
22.	李胜, 张超, 原瑞霞, 等. 间接比较软件简介. 中国循证医学杂志, 2015, 15(3):362-366.
23.	田金徽, Fujian Song, 李伦, 等. 间接比较方法简介. 中国循证医学杂志, 2014, 14(3):365-368.
24.	Glenny AM, Altman DG, Song F, et al. Indirect comparisons of competing interventions. Health Technol Assess, 2005, 9(26):1-134.
25.	Brok J, Thorlund K, Wetterslev J, et al. Trial sequential analysis reveals insufficient information size and potentially false positive results in many meta-analysis. J Clin Epidemiol, 2008, 61(8):763-769.
26.	Pogue J, Yusuf S. Overcoming the limitations of current meta-analysis of randomized controlled trials. Lancet, 1998, 351(9095):47-52.
27.	Wetterslev J, Thorlund K,Broker J, et al. Estimating required information size by quantifying diversity in random-effects model meta-analysis. BMC Med Res Methodol, 2009, 9:86.
28.	Guyatt GH, Oxman AD, Kunz R, et al. GRADE guidelines 6. Rating the quality of evidence-impression. J Clin Epidemiol, 2011, 64(9):1283-1293.
29.	Higgins JP, Whitehead A, Simmonds M. Sequential methods for random-effects meta-analysis. Stat Med, 2011, 30(9):903-921.
30.	张天嵩, 熊茜. 网络Meta分析在R软件中的实现. 循证医学, 2012, 12(3):185-188.

1. 曾宪涛, 曹世义, 孙凤, 等. Meta分析系列之六:间接比较及网状Meta分析. 中国循证心血管医学杂志, 2012, 4(5):399-402.
2. 曾宪涛, 张超, 邝心颖, 等. 基于使用的网状Meta分析软件的比较研究与选择. 中国循证医学杂志, 2014, 14(10):1270-1275.
3. 李伦, 田金徽, 杨克虎. 网状Meta分析相关术语和定义的研究. 中国药物评价, 2014, 31(6):321-326.
4. 刘国伟, 于莉莉, 贾红霞, 等. 系统评价中的间接比较与网状Meta分析方法研究进展. 中国循证医学杂志, 2014, 14(10):1276-1280.
5. 曾宪涛, 冷卫东, 郭毅, 等. Meta分析系列之一:Meta分析的类型. 中国循证心血管医学杂志, 2012, 4(1):3-5.
6. 曾宪涛, 张超, 郭毅. R软件R2WinBUGS程序包在网状Meta分析中的应用. 中国循证医学杂志, 2013, 13 (9):1137-1144.
7. 张超, 陶华, 李胜, 等. 应用Stata软件mvmeta程序包能实现网状Meta分析. 中国循证医学杂志, 2014, 14(9):1150-1159.
8. 曾宪涛, 张超, 邝心颖, 等. 基于使用的网状Meta分析软件的比较研究与选择. 中国循证医学杂志, 2014, 14(10):1270-1275.
9. 李胜, 张超, 陈晓凡, 等. 应用Microsoft Excel软件NetMetaXL宏命令实现网状Meta分析. 中国循证医学杂志, 2014, 14(11):1396-1401.
10. 张超, 鄢金柱, 孙凤, 等. 网状Meta分析一致性的鉴别与处理方法. 中国循证医学杂志, 2014, 14(7):884-888.
11. 罗杰, 冷卫东, 主编. 系统评价/Meta分析理论与实践. 北京:军事医学科学出版社, 2013.
12. Sutton AJ, Higgins JP. Recent developments in meta-analysis. Stat Med, 2008, 27(5):625-650.
13. Cipriani A, Higgins JPT, Geddes JR, et al. Conceptual and technical challenges in network meta-analysis. Ann Intern Med, 2013, 159(2):130-137.
14. 田旭, 曾子, 毛智, 等. 应用SAS软件宏命令实现Meta分析统计效能计算. 中国循证医学杂志, 2015, 15(1):110-115.
15. Hedges LV, Pigott TD. The Power of Statistical Tests for Moderators in Meta-Analysis. Psychol Methods, 2004, 9(4):426-445.
16. Cafri G, Kromrey JD, Brannick MT. A SAS macro for statistical power calculations in meta-analysis. Behav Res Methods, 2009, 41(1):35-46.
17. Salanti G, Higgins JP, Ades AE, et al. Evaluation of networks of randomized trials. Stat Methods Med Res, 2008, 17(3):279-282.
18. Lumley T. Network met-analysis for indirect treatment comparisons. Stat Med, 2002, 21(16):2313-2324.
19. Mills EJ, Ghement I, O'Regan C, et al. Estimating the power of indirect comparisons:a simulation study. Plos One, 2011, 6:e16237.
20. Mills EJ, Ioannidis JPA, Throlund K, et al. How to use an article reporting multiple treatment comparison meta-analysis. JAMA, 2012, 308(12):1246-1253.
21. Thorlund K, Mills EJ. Sample size and power consideration in network meta-analysis. Systematic Review, 2012, 1:41.
22. 李胜, 张超, 原瑞霞, 等. 间接比较软件简介. 中国循证医学杂志, 2015, 15(3):362-366.
23. 田金徽, Fujian Song, 李伦, 等. 间接比较方法简介. 中国循证医学杂志, 2014, 14(3):365-368.
24. Glenny AM, Altman DG, Song F, et al. Indirect comparisons of competing interventions. Health Technol Assess, 2005, 9(26):1-134.
25. Brok J, Thorlund K, Wetterslev J, et al. Trial sequential analysis reveals insufficient information size and potentially false positive results in many meta-analysis. J Clin Epidemiol, 2008, 61(8):763-769.
26. Pogue J, Yusuf S. Overcoming the limitations of current meta-analysis of randomized controlled trials. Lancet, 1998, 351(9095):47-52.
27. Wetterslev J, Thorlund K,Broker J, et al. Estimating required information size by quantifying diversity in random-effects model meta-analysis. BMC Med Res Methodol, 2009, 9:86.
28. Guyatt GH, Oxman AD, Kunz R, et al. GRADE guidelines 6. Rating the quality of evidence-impression. J Clin Epidemiol, 2011, 64(9):1283-1293.
29. Higgins JP, Whitehead A, Simmonds M. Sequential methods for random-effects meta-analysis. Stat Med, 2011, 30(9):903-921.
30. 张天嵩, 熊茜. 网络Meta分析在R软件中的实现. 循证医学, 2012, 12(3):185-188.

Chinese Journal of Evidence-Based Medicine

Sample Size and Statistical Power in Network Meta-analysis: An Introduction of Theory, Computational Principles and Software Implementation

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