Depicting estimates using the intercept in meta-regression models: The moving constant technique

Research Synthesis Methods

Volumn 2, Issue 3, 2011, Pages 204-220

  Johnson, Blair T ^a   Huedo Medina, Tania B ^a  

^a UNIVERSITY OF CONNECTICUT   (United States)

Author keywords

confidence bands; confidence intervals; graphical displays; meta analysis regression; meta regression; point estimates; prediction intervals; weighted regression

Indexed keywords

EID: 84856406284     PISSN: None     EISSN: 17592887     Source Type: Journal    
DOI: 10.1002/jrsm.49     Document Type: Article

References (45)

1. Anzures-Cabrera, J, Higgins JPT. 2010. Graphical displays for meta-analysis: An overview with suggestions for practice. Research Synthesis Methods 1: 68–80.
2. Berkey, C, Hoaglin DC, Mosteller F, Colditz GA. 1995. A random-effects regression model for Meta-analysis. Statistics in Medicine 14: 395–411.
3. Borenstein, M, Hedges LV, Higgins JPT, Rothstein HR. 2009. Introduction to Meta-Analysis. John Wiley & Sons, West Sussex.
4. Borman, G, Grigg JA. 2009. Visual and narrative interpretation, in The Handbook of Research Synthesis and Meta-analysis. 2nd Ed., (Eds: Cooper H, Hedges LV, Valentine JC) Russell Sage Foundation, New York, NY 497–519.
5. Brown, J, Huedo-Medina TB, Pescatello LS, Pescatello SM, Ferrer RA, Johnson BT. 2011. Efficacy of exercise interventions in modulating cancer-related fatigue among adult cancer survivors: a meta-analysis. Cancer Epidemiology Biomarkers and Prevention 20: 123–133.
6. Burns, P. 2006. R relative to statistical packages: a look at Stata, sas and spss. Accessed 10 June 2010 (http://lib.stat.cmu.edu/S/Spoetry/Tutor/R_relative_statpack.pdf).
7. Cleveland, W. 1984. Graphs in scientific publications. The American Statistician 38: 261–269.
8. Cohen, J. 1988. Statistical Power Analysis for the Behavioral Sciences. 2nd Ed. Lawrence Erlbaum Associates: Mahwah Hillsdale, NJ.
9. Cohen, J, Cohen P, West SG, Aiken LS. 2003. Applied multiple regression/correlation analysis for the behavioral sciences. 3rd Ed. Lawrence Erlbaum Associates Publishers: Mahwah, NJ.
10. Cooper, H, Hedges LV, Valentine JC. 2009. The Handbook of Research Synthesis and Meta-analysis. 2nd Ed. Russell Sage Foundation, New York, NY.
11. Ferrer, R, Huedo-Medina TB, Johnson BT, Stacey R, Pescatello L. 2010. Exercise interventions for cancer survivors: a meta-analysis of quality of life outcomes. Annals of Behavioral Medicine 41: 32–47.
12. Harbord, R, Higgins JPT. 2008. Meta-regression in Stata. The Stata Journal 8: 493–519.
13. Hayter, A, Liu W, Wynn HP. 2007. Easy-to-construct confidence bands for comparing two simple linear regression lines. Journal of Statistical Planning and Infererence 137: 1213–1225.
14. Hedges, L. 1992. Meta-analysis. Journal of Educational Statistics 17: 279–296.
15. Hedges, L, Olkin I. 1985. Statistical Methods for Meta-analysis. Academic Press, Orlando, FL.
16. Hedges, L, Vevea JL. 1998. Fixed- and random-effects models in meta-analysis. Psychological Methods 3: 486–504.
17. Higgins, J, Green S. 2009. Cochrane handbook for systematic reviews of interventions, version 5.0.2. Accessed 18 February 2011 (www.cochrane-handbook.org).
18. Higgins, J, Thompson SG. 2002. Quantifying heterogeneity in a meta-analysis. Statistics in Medicine 21: 1539–58.
19. Huedo-Medina, T, Johnson BT. 2010. Modelos Estadísticos en Meta-Análisis [Statistical Models in Meta-Analysis]. Netbiblio, La Coruña.
20. Hunter, J, Schmidt FL. 2004. Methods of Meta-Analysis: Correcting Error and Bias in Research Findings, 2nd Ed. Sage Publications, Thousand Oaks, CA.
21. IBM. SPSS Statistics. 2010. Release 19.0, SPSS Inc., Chicago, IL.
22. Johnson, BT, Carey MP, Marsh KL, Levin KD, Scott-Sheldon LAJ. 2003. Interventions to reduce sexual risk for the human immunodeficiency virus in adolescents, 1985–2000. Archives of Pediatrics and Adolescent Medicine 157: 381–388.
23. Johnson, BT, Kirsch I. 2008. Do antidepressants work? Statistical significance versus clinical benefits. Significance 5: 54–58.
24. Kirsch, I, Deacon BJ, Huedo-Medina TB, Scoboria A, Moore TJ, Johnson BT. 2008. Initial severity and antidepressant benefits: a meta-analysis of data submitted to the Food and Drug Administration. PLoS Medicine 5(e45): 0260–0268.
25. Knapp, G, Hartun J. 2003. Improved tests for a random-effects meta-regression with a single covariate. Statistics in Medicine 22: 2693–2710.
26. Konstantopoulos S, Hedges LV. 2004. Meta-analysis, in The Handbook of Quantitative Methods in the Social Sciences, (Ed: Kaplan M), Sage Publications, Thousand Oaks, CA 281–297.
27. Konstantopoulos, S, Hedges LV. 2009. Analyzing effect sizes: fixed-effects models, in The Handbook of Research Synthesis and Meta-Analysis. 2nd Ed., (Eds: Cooper H, Hedges LV, Valentine JC).Russell Sage Foundation, New York, NY 279–294.
28. Lane, D, Sándor A. 2009. Designing better graphs by including distributional information and integrating words, numbers, and images. Psychological Methods 14: 239–257.
29. Lau, J, Ioannidis JPA, Terrin N, Schmid CH, Olkin I. 2006. The case of the misleading funnel plot. British Medical Journal 333: 597–600.
30. Light, E, Singer JD, Willett JB. 1994. The visual presentation and interpretation of meta-analyses, in The Handbook of Research Synthesis and Meta-analysis, 2nd Ed., (Eds: Cooper H, Hedges LV, Valentine JC) Russell Sage Foundation, New York, NY 439–453.
31. Lipsey, M, Wilson DB. 2001. Practical Meta-Analysis. Sage Publications, Thousand Oaks, CA.
32. Liu, W, Lin S, Piegorsch WW. 2008. Construction of exact simultaneous confidence bands for a simple linear regression model. International Statistical Review 76: 39–57.
33. Macskassy, S, Provost, F. 2004. Confidence Bands for ROC Curves: Methods and an Empirical Study. Proceedings of the First Workshop on ROC Analysis in AI.
34. Myers, J, Well AD. 2003. Research Design and Statistical Analysis. Lawrence Erlbaum Associates, Mahwah, NJ.
35. Raudenbush, S. 2009. Analyzing effect sizes: random-effects models, in The Handbook of Research Synthesis and Meta-Analysis, 2nd Ed., (Eds: Cooper H, Hedges LV, Valentine JC), 295–315. Russell Sage Foundation, New York, NY.
36. Seber, G, Lee AJ. 2003. Linear Regression Analysis. 2nd Ed. John Wiley & Sons, Hoboken, NJ.
37. Solomon, S, Plattner G, Knutti R, Friedlingstein P. 2009. PNAS: irreversible climate change due to carbon dioxide emissions. Proceedings of the National Academy of Science of the United States of America 106: 1704–1709.
38. StataCorp. 2009. Stata statistical software: release 11, StataCorp LP, College Station.
39. Sweller, J, Chandler P, Tierney P, Cooper M. 1990. Cognitive load as a factor in the structure of technical material. Journal of Experimental Psychology 119: 176–192.
40. Thombs, B, Coyne JC, Cuijpers P, de Jonge P, Gilbody S, Ioannidis JP, Johnson BT, Patten SB, Turner EH, Ziegelstein RC. 2011. Rethinking recommendations for screening for depression in primary care. Canadian Medical Association Journal. DOI: cmaj.111035.
41. Tufte E. 2006. Beautiful Evidence. Graphic Press, Cheshire, CT.
42. Tufte, E. 2001. The Visual Display of Quantitative Information. 2nd Ed. Graphic Press, Cheshire.
43. Viechtbauer, W. 2010a. The metafor package: a meta-analysis package for R. Accessed 10 June 2010 (http://www.wvbauer.com/downloads.html).
44. Viechtbauer, W. 2010b. Conducting meta-analyses in R with the metafor package. Journal of Statistic Software 36: 1–48.
45. Working, H, Hotelling H. 1929. Applications of the theory of error to the interpretation of trends. Journal of the American Statistical Association 24: 73–85.