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.	曾憲濤, 曹世義, 孫鳳, 等. Meta分析系列之六:間接比較及網狀Meta分析. 中國循證心血管醫學雜志, 2012, 4(5):399-402.
2.	曾憲濤, 張超, 鄺心穎, 等. 基于使用的網狀Meta分析軟件的比較研究與選擇. 中國循證醫學雜志, 2014, 14(10):1270-1275.
3.	李倫, 田金徽, 楊克虎. 網狀Meta分析相關術語和定義的研究. 中國藥物評價, 2014, 31(6):321-326.
4.	劉國偉, 于莉莉, 賈紅霞, 等. 系統評價中的間接比較與網狀Meta分析方法研究進展. 中國循證醫學雜志, 2014, 14(10):1276-1280.
5.	曾憲濤, 冷衛東, 郭毅, 等. Meta分析系列之一:Meta分析的類型. 中國循證心血管醫學雜志, 2012, 4(1):3-5.
6.	曾憲濤, 張超, 郭毅. R軟件R2WinBUGS程序包在網狀Meta分析中的應用. 中國循證醫學雜志, 2013, 13 (9):1137-1144.
7.	張超, 陶華, 李勝, 等. 應用Stata軟件mvmeta程序包能實現網狀Meta分析. 中國循證醫學雜志, 2014, 14(9):1150-1159.
8.	曾憲濤, 張超, 鄺心穎, 等. 基于使用的網狀Meta分析軟件的比較研究與選擇. 中國循證醫學雜志, 2014, 14(10):1270-1275.
9.	李勝, 張超, 陳曉凡, 等. 應用Microsoft Excel軟件NetMetaXL宏命令實現網狀Meta分析. 中國循證醫學雜志, 2014, 14(11):1396-1401.
10.	張超, 鄢金柱, 孫鳳, 等. 網狀Meta分析一致性的鑒別與處理方法. 中國循證醫學雜志, 2014, 14(7):884-888.
11.	羅杰, 冷衛東, 主編. 系統評價/Meta分析理論與實踐. 北京:軍事醫學科學出版社, 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. 應用SAS軟件宏命令實現Meta分析統計效能計算. 中國循證醫學雜志, 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.	李勝, 張超, 原瑞霞, 等. 間接比較軟件簡介. 中國循證醫學雜志, 2015, 15(3):362-366.
23.	田金徽, Fujian Song, 李倫, 等. 間接比較方法簡介. 中國循證醫學雜志, 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.	張天嵩, 熊茜. 網絡Meta分析在R軟件中的實現. 循證醫學, 2012, 12(3):185-188.

1. 曾憲濤, 曹世義, 孫鳳, 等. Meta分析系列之六:間接比較及網狀Meta分析. 中國循證心血管醫學雜志, 2012, 4(5):399-402.
2. 曾憲濤, 張超, 鄺心穎, 等. 基于使用的網狀Meta分析軟件的比較研究與選擇. 中國循證醫學雜志, 2014, 14(10):1270-1275.
3. 李倫, 田金徽, 楊克虎. 網狀Meta分析相關術語和定義的研究. 中國藥物評價, 2014, 31(6):321-326.
4. 劉國偉, 于莉莉, 賈紅霞, 等. 系統評價中的間接比較與網狀Meta分析方法研究進展. 中國循證醫學雜志, 2014, 14(10):1276-1280.
5. 曾憲濤, 冷衛東, 郭毅, 等. Meta分析系列之一:Meta分析的類型. 中國循證心血管醫學雜志, 2012, 4(1):3-5.
6. 曾憲濤, 張超, 郭毅. R軟件R2WinBUGS程序包在網狀Meta分析中的應用. 中國循證醫學雜志, 2013, 13 (9):1137-1144.
7. 張超, 陶華, 李勝, 等. 應用Stata軟件mvmeta程序包能實現網狀Meta分析. 中國循證醫學雜志, 2014, 14(9):1150-1159.
8. 曾憲濤, 張超, 鄺心穎, 等. 基于使用的網狀Meta分析軟件的比較研究與選擇. 中國循證醫學雜志, 2014, 14(10):1270-1275.
9. 李勝, 張超, 陳曉凡, 等. 應用Microsoft Excel軟件NetMetaXL宏命令實現網狀Meta分析. 中國循證醫學雜志, 2014, 14(11):1396-1401.
10. 張超, 鄢金柱, 孫鳳, 等. 網狀Meta分析一致性的鑒別與處理方法. 中國循證醫學雜志, 2014, 14(7):884-888.
11. 羅杰, 冷衛東, 主編. 系統評價/Meta分析理論與實踐. 北京:軍事醫學科學出版社, 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. 應用SAS軟件宏命令實現Meta分析統計效能計算. 中國循證醫學雜志, 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. 李勝, 張超, 原瑞霞, 等. 間接比較軟件簡介. 中國循證醫學雜志, 2015, 15(3):362-366.
23. 田金徽, Fujian Song, 李倫, 等. 間接比較方法簡介. 中國循證醫學雜志, 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. 張天嵩, 熊茜. 網絡Meta分析在R軟件中的實現. 循證醫學, 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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