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Meta-Analysis of Standardized Mean Difference

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Meta-Analysis

Part of the book series: Statistics for Biology and Health ((SBH))

Abstract

If the outcome variable is continuous and interest is to compare the effects of two interventions (e.g. treatment and control), standardized mean difference may be the appropriate effects size measure.

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References

  • Borenstein M, Hedges LV, Higgins JP, Rothstein HR (2010) A basic introduction to fixed-effect and random-effects models for meta-analysis. Res Synth Methods 1(2):97–111

    Article  Google Scholar 

  • Borenstein MH, Larry, Higgins J, Rothstein H (2009) Introduction to meta-analysis. Wiley-Blackwell, Oxford

    Google Scholar 

  • Cochran WG (1973) Experiments for nonlinear functions (R.A. Fisher Memorial Lecture). J Am Stat Assoc 68(344):771–781. https://doi.org/10.1080/01621459.1973.10481423

  • Cohen J (1969) Statistical power analysis for the behavioral sciences. Academic Press, Nw York

    MATH  Google Scholar 

  • Cohen J (1987) Statistical power analysis for the behavioral sciences. Lawrence Erlbaum Associates, Hillside, NJ

    MATH  Google Scholar 

  • Doi AS (2018) Rendering the Doi plot properly in meta-analysis. Int J Evid-Based Healthc 16(4):242–243. https://doi.org/10.1097/XEB.0000000000000158

  • Doi SA, Barendregt JJ, Khan S, Thalib L, Williams GM (2015a) Advances in the meta-analysis of heterogeneous clinical trials I: the inverse variance heterogeneity model. Contemp Clin Trials 45(Pt A):130–138. https://doi.org/10.1016/j.cct.2015.05.009

    Article  Google Scholar 

  • Doi SA, Barendregt JJ, Khan S, Thalib L, Williams GM (2015b) Advances in the meta-analysis of heterogeneous clinical trials II: the quality effects model. Contemp Clin Trials 45(Pt A):123–129. https://doi.org/10.1016/j.cct.2015.05.010

    Article  Google Scholar 

  • Doi SA, Barendregt JJ, Khan S, Thalib L, Williams GM (2015c) Simulation comparison of the quality effects and random effects methods of meta-analysis. Epidemiology 26(4):e42–44

    Article  Google Scholar 

  • Furuya-Kanamori JL, Barendregt ARJ, Doi ARS (2018) A new improved graphical and quantitative method for detecting bias in meta-analysis. Int J Evid-Based Healthc 16(4):195–203. https://doi.org/10.1097/XEB.0000000000000141

    Article  Google Scholar 

  • Glass GV, Smith ML, McGaw B (1981) Meta-analysis in social research. Sage Publications, Incorporated

    Google Scholar 

  • Hedges LV (1981) Distribution theory for Glass’s estimator of effect size and related estimators. J Educ Stat 6(2):107–128

    Google Scholar 

  • Hedges LV (1982) Estimation of effect size from a series of independent experiments. Psychol Bull 92(2):490–499. https://doi.org/10.1037/0033-2909.92.2.490

    Article  Google Scholar 

  • Hedges LV (1985) Statistical methods for meta-analysis. Academic Press, Boston

    MATH  Google Scholar 

  • Higgins JP, Thompson SG, Deeks JJ, Altman DG (2003) Measuring inconsistency in meta-analyses. BMJ 327(7414):557–560

    Article  Google Scholar 

Download references

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Correspondence to Shahjahan Khan .

Appendix 8—Stata Codes for Meta-Analysis of SMD

Appendix 8—Stata Codes for Meta-Analysis of SMD

A8.1 Open Education dataset

Study

d

se

Study 1

0.563

0.307426

Study 2

0.308

0.449858

Study 3

0.081

0.447397

Study 4

0.598

0.4571

Study 5

−0.178

0.226903

Study 6

−0.234

0.200684

A8.2 Stat codes for SMD meta-analysis under different statistical models

. ssc install admetan

Codes for SMD meta-analysis under FE, RRs and Ivhet models

. admetan d se, iv

. admetan d se, re

. admetan d se, ivhet

A8.3 Operative Time dataset

study

n_larr

mean_larr

sd_larr

n_orr

mean_orr

sd_orr

Bonjer et al. (2015)

699

241

33.6

345

191.5

26.2

Fleshman et al. (2015)

240

266.2

101.9

222

220.6

92.4

Stevenson et al. (2015)

238

210

66.7

235

190

59.2

Jeong et al. (2014)

170

244.9

75.4

170

197

62.9

Ng et al. (2014)

40

211.6

53

40

153

41.1

Liang et al. (2011)

169

138.08

23.79

174

118.53

21.99

Lujan et al. (2009)

101

193.7

45.1

103

172.9

59.4

Ng et al. (2008)

51

213.5

46.2

48

163.7

43.4

Zhou et al. (2004)

82

120

18

89

106

25

A8.4 Stata codes for SMD meta-analysis of Operation Time dataset

. ssc install admetan

Codes for SMD meta-analysis of FE model for different effect sizes

. admetan n_larr mean_larr sd_larr n_orr mean_orr sd_orr, cohen

. admetan n_larr mean_larr sd_larr n_orr mean_orr sd_orr, hedges

. admetan n_larr mean_larr sd_larr n_orr mean_orr sd_orr, glass

Codes for SMD meta-analysis of REs model for different effect sizes

. admetan n_larr mean_larr sd_larr n_orr mean_orr sd_orr, cohen re

. admetan n_larr mean_larr sd_larr n_orr mean_orr sd_orr, hedges re

. admetan n_larr mean_larr sd_larr n_orr mean_orr sd_orr, glass re

Codes for SMD meta-analysis of IVhet model for different effect sizes

. admetan n_larr mean_larr sd_larr n_orr mean_orr sd_orr, cohen ivhet

. admetan n_larr mean_larr sd_larr n_orr mean_orr sd_orr, hedges ivhet

. admetan n_larr mean_larr sd_larr n_orr mean_orr sd_orr, glass ivhet

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Khan, S. (2020). Meta-Analysis of Standardized Mean Difference. In: Meta-Analysis. Statistics for Biology and Health. Springer, Singapore. https://doi.org/10.1007/978-981-15-5032-4_8

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