Application of Structural Equation Model in the Meta-analysis: Fixed Effects Model_Chinese Journal of Evidence-Based Medicine

Authors：

 GUIYu-liang ^1,2 , ZHANGChao ¹ , XUChang ³ , PENGLe ¹ , ZUOHong-xia ¹ , YANGYuan-jun ⁴ ,  NIUYu-ming ^1,5

1. Center for Evidence-Based Medicine and Clinical Research, Taihe Hospital, Hubei University of Medicine, Shiyan 442000, China;
2. College of Pharmacy, Hubei University of Medicine, Shiyan 442000, China;
3. Department of Urology, Zhongnan Hospital, Wuhan University, Wuhan 430071, China;
4. Pharmacy Department, Jianli People's Hospital, Jingzhou 434000, China;
5. Department of Stomatology, Taihe Hospital, Hubei University of Medicine, Shiyan 442000, China;

Corresponding author：

NIUYu-ming, Email: niuyuming@yeah.net

Keywords：

MASEM; TSSEM; metaSEM packages; Meta-analysis

DOI：

10.7507/1672-2531.20160036

Video：

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Structural equation modeling (SEM) is a frequently used multivariate technique in social, psychology, educational, behavioral science. Meta-analytic structural equation modeling (MASEM) combines the ideas of metaanalysis and structural equation modeling for the purpose of synthesizing correlation or covariance matrices and fitting structural equation models on the pooled correlation or covariance matrix. A two-stage structural equation modeling (TSSEM) approach to conducting MASEM that was based on a fixed-effects model will be introduced. To introduce the operation of metaSEM package for multivariate meta-analyst, we are adopt the fixed-effects model, assumes that the population correlation matrices based on TSSEM, to analyze the instance data.

Citation： GUIYu-liang, ZHANGChao, XUChang, PENGLe, ZUOHong-xia, YANGYuan-jun, NIUYu-ming. Application of Structural Equation Model in the Meta-analysis: Fixed Effects Model. Chinese Journal of Evidence-Based Medicine, 2016, 16(2): 229-234. doi: 10.7507/1672-2531.20160036 Copy

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2.	邱皓政, 林碧芳, 主编. 结构方程模型的原理与应用. 第1版. 北京: 中国轻工业出版社, 2009.
3.	Jöreskog KG. Ageneral approach to confirmatory maximum likelihood factor analysis. Psychometrika, 1969, 34(2) :183-202.
4.	Jöreskog KG. A general method for analysis of covariance structures. Biometrika, 1970, 57(2) :239-251.
5.	Jöreskog KG. Structural analysis of covariance and correlation matrices. Psychometrika, 1968, 43(4) :443-477.
6.	Cheung MW, Leung K, Au K. Evaluating multilevel models in crosscultural research:An illustration with Social Axioms. J Cross Cult Psychol, 2006, 37:522-541.
7.	Steinmetz H, Baeuerle N, Isidor R. Testing the circular structure of human values:A meta-analytical structural equation modeling approach. ESRA, 2012, 6(1) :61-75.
8.	Norton S, Cosco T, Doyle F, et al. The hospital anxiety and depression scale:a meta confirmatory factor analysis. J Psychosom Res, 2013, 74(1) :74-81.
9.	Cheung MW. Fixed-and random-effects meta-analytic structural equation modeling:Examples and analyses in R. Behaver's Methods, 2014, 46(1) :29-40.
10.	Cheung MW. Fixed-effects Meta-analyses as Multiple-group Structural Equation Models. Struct Equ Modeling, 2010, 17(3) : 481-509.
11.	Cheung MW, Chan W. Meta-analytic structural equation modeling: a two-stage approach. Psychol Methods, 2005, 10(1) :40-64.
12.	蒋文瀚, 陈炳为, 郑建光, 等. R语言meta包在Meta分析中的应用. 循证医学, 2011, 11(5) :305-309.
13.	张天嵩, 熊茜, 袁婷. 附加轮廓线漏斗图的绘制在R软件中的实现. 循证医学, 2013, 13(5) :307-313.
14.	董圣杰, 曾宪涛, 郭毅. R软件Metafor程序包在Meta分析中的应用. 中国循证医学杂志, 2012, 12(9) :1141-1147.
15.	魏雪梅, 胡定伟, 敬媛媛, 等. 应用R软件metafor程序包实现轮廓增强漏斗图. 中国循证心血管医学杂志, 2015, 7(3) :289-292.
16.	Cheung MW. metaSEM:Meta-Analysis using Structural Equation Modeling. Version:0.9.4. Available at:https://cran.r-project.org/web/packages/metaSEM/index.html.
17.	Craft LL, Magyar TM, Becker BJ, et al. The relationship between the Competitive State Anxiety Inventory-2 and sport performance:a meta-analysis. J Sport Exerc Psychol, 2003, 25(1) :44-65.
18.	Cheung ML. Meta-Analysis:A Structural Equation Modeling Approach. John Wiley & Sons, Ltd, 2015.
19.	Hedges LV, Olkin I. Statistical methods for meta-analysis. Academic Press, Orlando, FL, 1985.
20.	Hunter JE, Schmidt FL. Methods of meta-analysis:correcting error and bias in research findings. Sage Publications, Inc., Newbury Park, CA, 1990.
21.	Hunter JE, Schmidt FL. Methods of meta-analysis:correcting error and bias in research findings, 2nd edn. Sage Publications, Inc., Thousand Oaks, CA, 2004.
22.	Becker BJ. Using results from replicated studies to estimate linear models. J Educ Stat, 1992, 17(4) :341-362.
23.	Becker BJ. Corrections to "using results from replicated studies to estimate linear models". J Educ Behav Stat, 1995, 20(1) :100-102.

1. 罗杰, 主编. 系统评价/Meta分析理论与实践. 第1版. 北京:军事医学科技出版社, 2013.
2. 邱皓政, 林碧芳, 主编. 结构方程模型的原理与应用. 第1版. 北京: 中国轻工业出版社, 2009.
3. Jöreskog KG. Ageneral approach to confirmatory maximum likelihood factor analysis. Psychometrika, 1969, 34(2) :183-202.
4. Jöreskog KG. A general method for analysis of covariance structures. Biometrika, 1970, 57(2) :239-251.
5. Jöreskog KG. Structural analysis of covariance and correlation matrices. Psychometrika, 1968, 43(4) :443-477.
6. Cheung MW, Leung K, Au K. Evaluating multilevel models in crosscultural research:An illustration with Social Axioms. J Cross Cult Psychol, 2006, 37:522-541.
7. Steinmetz H, Baeuerle N, Isidor R. Testing the circular structure of human values:A meta-analytical structural equation modeling approach. ESRA, 2012, 6(1) :61-75.
8. Norton S, Cosco T, Doyle F, et al. The hospital anxiety and depression scale:a meta confirmatory factor analysis. J Psychosom Res, 2013, 74(1) :74-81.
9. Cheung MW. Fixed-and random-effects meta-analytic structural equation modeling:Examples and analyses in R. Behaver's Methods, 2014, 46(1) :29-40.
10. Cheung MW. Fixed-effects Meta-analyses as Multiple-group Structural Equation Models. Struct Equ Modeling, 2010, 17(3) : 481-509.
11. Cheung MW, Chan W. Meta-analytic structural equation modeling: a two-stage approach. Psychol Methods, 2005, 10(1) :40-64.
12. 蒋文瀚, 陈炳为, 郑建光, 等. R语言meta包在Meta分析中的应用. 循证医学, 2011, 11(5) :305-309.
13. 张天嵩, 熊茜, 袁婷. 附加轮廓线漏斗图的绘制在R软件中的实现. 循证医学, 2013, 13(5) :307-313.
14. 董圣杰, 曾宪涛, 郭毅. R软件Metafor程序包在Meta分析中的应用. 中国循证医学杂志, 2012, 12(9) :1141-1147.
15. 魏雪梅, 胡定伟, 敬媛媛, 等. 应用R软件metafor程序包实现轮廓增强漏斗图. 中国循证心血管医学杂志, 2015, 7(3) :289-292.
16. Cheung MW. metaSEM:Meta-Analysis using Structural Equation Modeling. Version:0.9.4. Available at:https://cran.r-project.org/web/packages/metaSEM/index.html.
17. Craft LL, Magyar TM, Becker BJ, et al. The relationship between the Competitive State Anxiety Inventory-2 and sport performance:a meta-analysis. J Sport Exerc Psychol, 2003, 25(1) :44-65.
18. Cheung ML. Meta-Analysis:A Structural Equation Modeling Approach. John Wiley & Sons, Ltd, 2015.
19. Hedges LV, Olkin I. Statistical methods for meta-analysis. Academic Press, Orlando, FL, 1985.
20. Hunter JE, Schmidt FL. Methods of meta-analysis:correcting error and bias in research findings. Sage Publications, Inc., Newbury Park, CA, 1990.
21. Hunter JE, Schmidt FL. Methods of meta-analysis:correcting error and bias in research findings, 2nd edn. Sage Publications, Inc., Thousand Oaks, CA, 2004.
22. Becker BJ. Using results from replicated studies to estimate linear models. J Educ Stat, 1992, 17(4) :341-362.
23. Becker BJ. Corrections to "using results from replicated studies to estimate linear models". J Educ Behav Stat, 1995, 20(1) :100-102.

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