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Jan 23rd, 2018
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  1. study, mean1, sd1, n1, mean2, sd2, n2
  2.  
  3. Foo2000, 0.78, 0.05, 20, 0.82, 0.07, 25
  4. Sun2003, 0.74, 0.08, 30, 0.72, 0.05, 19
  5. Pric2005, 0.75, 0.12, 20, 0.74, 0.09, 29
  6. Rota2008, 0.62, 0.05, 24, 0.66, 0.03, 24
  7. Pete2008, 0.68, 0.03, 10, 0.68, 0.02, 10
  8.  
  9. df <- structure(list(study = structure(c(1L, 5L, 3L, 4L, 2L), .Label = c("Foo2000",
  10. "Pete2008", "Pric2005", "Rota2008", "Sun2003"), class = "factor"),
  11. mean1 = c(0.78, 0.74, 0.75, 0.62, 0.68), sd1 = c(0.05, 0.08,
  12. 0.12, 0.05, 0.03), n1 = c(20L, 30L, 20L, 24L, 10L), mean2 = c(0.82,
  13. 0.72, 0.74, 0.66, 0.68), sd2 = c(0.07, 0.05, 0.09, 0.03,
  14. 0.02), n2 = c(25L, 19L, 29L, 24L, 10L)), .Names = c("study",
  15. "mean1", "sd1", "n1", "mean2", "sd2", "n2"), class = "data.frame", row.names = c(NA,
  16. -5L))
  17.  
  18. library(metafor)
  19. rma(measure = "SMD", m1i = mean1, m2i = mean2,
  20. sd1i = sd1, sd2i = sd2, n1i = n1, n2i = n2,
  21. method = "REML", data = df)
  22.  
  23. > rma(measure = "SMD", m1i = mean1, m2i = mean2,
  24. + sd1i = sd1, sd2i = sd2, n1i = n1, n2i = n2,
  25. + method = "REML", data = df)
  26.  
  27. Random-Effects Model (k = 5; tau^2 estimator: REML)
  28.  
  29. tau^2 (estimate of total amount of heterogeneity): 0.1951 (SE = 0.2127)
  30. tau (sqrt of the estimate of total heterogeneity): 0.4416
  31. I^2 (% of total variability due to heterogeneity): 65.61%
  32. H^2 (total variability / within-study variance): 2.91
  33.  
  34. Test for Heterogeneity:
  35. Q(df = 4) = 11.8763, p-val = 0.0183
  36.  
  37. Model Results:
  38.  
  39. estimate se zval pval ci.lb ci.ub
  40. -0.2513 0.2456 -1.0233 0.3061 -0.7326 0.2300
  41.  
  42. ---
  43. Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1
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