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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Abstract Full text Figures/Tables Video References Cited by

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

1.	羅杰, 主編. 系統評價/Meta分析理論與實踐. 第1版. 北京:軍事醫學科技出版社, 2013.
2.	邱皓政, 林碧芳, 主編. 結構方程模型的原理與應用. 第1版. 北京: 中國輕工業出版社, 2009.
3.	J?reskog KG. Ageneral approach to confirmatory maximum likelihood factor analysis. Psychometrika, 1969, 34(2) :183-202.
4.	J?reskog KG. A general method for analysis of covariance structures. Biometrika, 1970, 57(2) :239-251.
5.	J?reskog 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.	蔣文瀚, 陳炳為, 鄭建光, 等. R語言meta包在Meta分析中的應用. 循證醫學, 2011, 11(5) :305-309.
13.	張天嵩, 熊茜, 袁婷. 附加輪廓線漏斗圖的繪制在R軟件中的實現. 循證醫學, 2013, 13(5) :307-313.
14.	董圣杰, 曾憲濤, 郭毅. R軟件Metafor程序包在Meta分析中的應用. 中國循證醫學雜志, 2012, 12(9) :1141-1147.
15.	魏雪梅, 胡定偉, 敬媛媛, 等. 應用R軟件metafor程序包實現輪廓增強漏斗圖. 中國循證心血管醫學雜志, 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. 羅杰, 主編. 系統評價/Meta分析理論與實踐. 第1版. 北京:軍事醫學科技出版社, 2013.
2. 邱皓政, 林碧芳, 主編. 結構方程模型的原理與應用. 第1版. 北京: 中國輕工業出版社, 2009.
3. J?reskog KG. Ageneral approach to confirmatory maximum likelihood factor analysis. Psychometrika, 1969, 34(2) :183-202.
4. J?reskog KG. A general method for analysis of covariance structures. Biometrika, 1970, 57(2) :239-251.
5. J?reskog 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. 蔣文瀚, 陳炳為, 鄭建光, 等. R語言meta包在Meta分析中的應用. 循證醫學, 2011, 11(5) :305-309.
13. 張天嵩, 熊茜, 袁婷. 附加輪廓線漏斗圖的繪制在R軟件中的實現. 循證醫學, 2013, 13(5) :307-313.
14. 董圣杰, 曾憲濤, 郭毅. R軟件Metafor程序包在Meta分析中的應用. 中國循證醫學雜志, 2012, 12(9) :1141-1147.
15. 魏雪梅, 胡定偉, 敬媛媛, 等. 應用R軟件metafor程序包實現輪廓增強漏斗圖. 中國循證心血管醫學雜志, 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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