American Journal of Theoretical and Applied Statistics

| Peer-Reviewed |

Significance Test in Meta-analysis Approach: A theoretical Review

Received: 07 December 2015    Accepted: 21 December 2015    Published: 08 January 2016
Views:       Downloads:

Share This Article

Abstract

Meta-analysis, a statistical procedure that integrates the results of several independent studies, plays a central role in statistical research, and a very important task in research problems and statistical significance tests. This paper discusses these principles, along with the practical steps in performing meta-analysis. It describes the issue of meta-analysis, explains what meta-analysis is, how it is done and how it can be interpreted. Some related problems such as statistical significance, effect size and power analysis are described. Examples of implementation on theoretical data would be carried. Results, conclusions, recommendations on the use of meta-analysis would be summarized.

DOI 10.11648/j.ajtas.20150406.35
Published in American Journal of Theoretical and Applied Statistics (Volume 4, Issue 6, November 2015)
Page(s) 630-639
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Effect Size, Meta-analysis, Sample Size, Sensitivity Analysis, Significance Test, Systematic Review

References
[1] Aguinis, H. & Haren, E. E. (2009). Sample size rules of thumb: Evaluating three common practices. In Charles E. Lance and Robert J. Vandenberg (Eds.), Statistical and methodological myths and urban legends: Doctrine, verify and fable in the organizational and social sciences (pp. 267-286). NY York: Routledge.
[2] Baker, R., & Dwyer, F. (2000). A meta-analytic assessment of the effects of visualized instruction, paper presented at the 2000 AECT National Convention. Long Beach, CA.
[3] Becker, L., (2000). Effect Size (ES), This website provides an overview about effect size and its measures.
[4] Berman, N. G., and R. A. Parker.(2002). Meta-analysis: neither quick nor easy. BMC Medical Research Methods 2: 10.
[5] Biostat (2006). Meta-analysis. [On-line] available: http://www.meta-analysis.com/.
[6] Bushman, B. J., & Wells, G. L. (2001). Narrative impressions of literature: The availability bias and the corrective properties of meta-analytic approaches. Personality and Social Psychology Bulletin, 27, 1123-1130.
[7] Buchner, A, Erdfelder, E. and Faul, F. How to use G*power. Viewed 19 Jun 2009 http://www.psycho.uni-duesseldorf.de/aap/projects/gpower/how_to_use_gpower.htm.
[8] Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale, NJ: Lawrence Earlbaum Associates.
[9] DeCoster, J. (2004). Meta-analysis Notes. Retrieved from http://www.stat-help.com/notes.html.
[10] Egger M, Davey Smith G, Schneider M, Minder C(1997). Bias in meta-analysis detected by a simple, graphical test. BMJ 1997; 315: 629-34.
[11] Gerard E. Dallal(2015). Meta Analysis. The Little Handbook of Statistical Practice BMJ 2003; 327: 557-560 (6 September). Copyright © 2003 Gerard E. Dallal Last modified: 07/28/2015 17: 39: 27.
[12] Glass, G. V. (1976). Primary, secondary, and meta-analysis of research. Educational Researcher, 5, 3-8.
[13] Glass, G. V. (1977). Integrating findings: The meta-analysis of research. Review of Research in Education, 5, 351-379.
[14] Gurevitch, J., and L. V. Hedges. (2001). Meta-analysis: combining the results of independent experiments. pp. 347-369 in Design and Analysis of Ecological Experiments, S. M. Scheiner and J. Gurevitch, eds. Oxford University Press,
[15] Haidich A, B. Hippokratia. (2010). Dec; 14(Suppl 1): 29–37. PMCID: PMC3049418 Meta-analysis in medical research.
[16] Hedges, L. V., and I. Olkin. (1985). Statistical methods for meta-analysis. Academic Press, London.
[17] Huberty, C. J. (2002) 'A history of effect size indices'. Educational and Psychological Measurement, 62, 2, 227-240.
[18] James Neil (2006). Meta-analysis Research Methodology. Quantitative Research Methods Last updated: 10 May 2006.
[19] J Hypertens Suppl. 1996 Sep; 14 (2): S9-12; discussion S13. Advantages and disadvantages of the meta-analysis approach. US National Library of Medicine National Institutes of Health PubMed.
[20] Jonathan J Deeks, Julian PT Higgins and Douglas G Altman on behalf of the Cochrane Statistical Methods Group. Analyzing data and undertaking meta-analyses, Part 2: General methods for Cochrane reviews.
[21] Mc Donald, J. H. (2014). Handbook of Biological Statistics (3rded.). Baltimore, Maryland. http://www.biostathandbook.com/metaanalysis.html. revised December 4, 2014.
[22] Mike Fur (2008). Effect sizes and significance Tests. Psychology Dept. Wake Forest university (March, 2008).
[23] Morris, S. B., & DeShon, R. P. (2002). Combining effect size estimates in meta-analysis with repeated measures and independent-groups designs. Psychological Methods, 7, 105-125.
[24] National Center for Biotechnology Information, U. S. National Library of Medicine8600 Rockville Pike, Bethesda MD, 20894 USA.
[25] Olejnik, S. and Algina, J. (2000). Measures of Effect Size for Comparative Studies: Applications, Interpretations and Limitations. Contemporary Educational Psychology, 25, 241-286.
[26] Overview of Meta-Analysis | Books on Meta-Analysis | Other Meta-Analysis Sites | Publication Bias.
[27] Poston, J. M, & Hanson, W. E. (2010). Meta-analysis of psychological assessment as a therapeutic intervention. Psychological Assessment, 22, 203-12.
[28] Richard A. Zeller and Yan (2007). Establishing the Optimum Sample Size. Epidemiology and Medical Statistics, Handbook of Statistics Vol 27, Pages 656-678.
[29] Rosenthal, R. (1994) 'Parametric Measures of Effect Size' in H. Cooper and L. V. Hedges (Eds.), The Handbook of Research Synthesis. New York: Russell Sage Foundation.
[30] Rosenthal, R. Rosnow, R. L. & Rubin (2000) D. B. Contrasts and Effect sizes in behavioral research: A correlational approach. Cambridge. UK. Cambridge University Press.
[31] Rudner, Glass, Evartt, & Emery (2002). A user's guide to the meta-analysis of research studies.
[32] Seto KC, Fragkias M, Güneralp B, Reilly MK (2011) A Meta-Analysis of Global Urban Land Expansion. PLoS ONE 6 (8): e23777. doi: 10.1371/journal.pone.0023777.
[33] Slavin, R., & Smith, D. (2008). Effects of sample size on effect size in systematic reviews in education. Paper presented at the annual meetings of the Society for Research on Effective Education, Crystal City, VI.
[34] The Himmelfarb Health Sciences Library November 2011. Study Design 101 by Himmelfarb Health Sciences Library is licensed under a Creative Commons Attribution-Noncommercial-NoDerivs 3.0 Unported License.
[35] Wolf, F. M. (1986). Meta-analysis: Quantitative methods for research synthesis. Beverly Hills, CA: Sage.
Author Information
  • Department of Mathematics, Al Qunfudha University College, Umm Al Qura University, Al Qunfudha, Saudi Arabia

Cite This Article
  • APA Style

    Habib Ahmed Elsayir. (2016). Significance Test in Meta-analysis Approach: A theoretical Review. American Journal of Theoretical and Applied Statistics, 4(6), 630-639. https://doi.org/10.11648/j.ajtas.20150406.35

    Copy | Download

    ACS Style

    Habib Ahmed Elsayir. Significance Test in Meta-analysis Approach: A theoretical Review. Am. J. Theor. Appl. Stat. 2016, 4(6), 630-639. doi: 10.11648/j.ajtas.20150406.35

    Copy | Download

    AMA Style

    Habib Ahmed Elsayir. Significance Test in Meta-analysis Approach: A theoretical Review. Am J Theor Appl Stat. 2016;4(6):630-639. doi: 10.11648/j.ajtas.20150406.35

    Copy | Download

  • @article{10.11648/j.ajtas.20150406.35,
      author = {Habib Ahmed Elsayir},
      title = {Significance Test in Meta-analysis Approach: A theoretical Review},
      journal = {American Journal of Theoretical and Applied Statistics},
      volume = {4},
      number = {6},
      pages = {630-639},
      doi = {10.11648/j.ajtas.20150406.35},
      url = {https://doi.org/10.11648/j.ajtas.20150406.35},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajtas.20150406.35},
      abstract = {Meta-analysis, a statistical procedure that integrates the results of several independent studies, plays a central role in statistical research, and a very important task in research problems and statistical significance tests. This paper discusses these principles, along with the practical steps in performing meta-analysis. It describes the issue of meta-analysis, explains what meta-analysis is, how it is done and how it can be interpreted. Some related problems such as statistical significance, effect size and power analysis are described. Examples of implementation on theoretical data would be carried. Results, conclusions, recommendations on the use of meta-analysis would be summarized.},
     year = {2016}
    }
    

    Copy | Download

  • TY  - JOUR
    T1  - Significance Test in Meta-analysis Approach: A theoretical Review
    AU  - Habib Ahmed Elsayir
    Y1  - 2016/01/08
    PY  - 2016
    N1  - https://doi.org/10.11648/j.ajtas.20150406.35
    DO  - 10.11648/j.ajtas.20150406.35
    T2  - American Journal of Theoretical and Applied Statistics
    JF  - American Journal of Theoretical and Applied Statistics
    JO  - American Journal of Theoretical and Applied Statistics
    SP  - 630
    EP  - 639
    PB  - Science Publishing Group
    SN  - 2326-9006
    UR  - https://doi.org/10.11648/j.ajtas.20150406.35
    AB  - Meta-analysis, a statistical procedure that integrates the results of several independent studies, plays a central role in statistical research, and a very important task in research problems and statistical significance tests. This paper discusses these principles, along with the practical steps in performing meta-analysis. It describes the issue of meta-analysis, explains what meta-analysis is, how it is done and how it can be interpreted. Some related problems such as statistical significance, effect size and power analysis are described. Examples of implementation on theoretical data would be carried. Results, conclusions, recommendations on the use of meta-analysis would be summarized.
    VL  - 4
    IS  - 6
    ER  - 

    Copy | Download

  • Sections