BucherEtAl1997 | R Documentation |
Numbers of subjects and events in the different treatment arms of 22 studies.
data("BucherEtAl1997")
The data frame contains the following columns:
study | character | publication identifier (first author and publication year) |
treat.A | factor | treatment in first study arm (“TMP-SMX” or “AP”) |
treat.B | factor | treatment in second study arm (“D/P” or “AP”) |
events.A | numeric | number of events in first study arm |
events.B | numeric | number of events in second study arm |
total.A | numeric | total number of patients in first study arm |
total.B | numeric | total number of patients in second study arm |
Bucher et al. (1997) discussed the example case of the comparison of sulphametoxazole-trimethoprim (TMP-SMX) versus dapsone/pyrimethamine (D/P) for the prophylaxis of Pneumocystis carinii pneumonia in HIV patients. Eight studies had undertaken a head-to-head comparison of both medications, but an additional 14 studies were available investigating one of the two medications with aerosolized pentamidine (AP) as a comparator. Nine studies compared TMP-SMX vs. AP, and five studies compared D/P vs. AP. Together these provide indirect evidence on the effect of TMP-SMX compared to D/P (Kiefer et al., 2015).
The example constitutes a simple case of a network meta-analysis (NMA) setup, where only two-armed studies are considered, and analysis is based on pairwise comparisons of treatments (or contrasts). In this case, the joint analysis of direct and indirect evidence may be implemented as a special case of a meta-regression (Higgins et al., 2019; Sec. 11.4.2). The original data in fact included some three-armed studies, in which case one of the arms was deliberately omitted (Bucher et al.; 1997).
H.C. Bucher, G.H. Guyatt, L.E. Griffith, S.D. Walter. The results of direct and indirect treatment comparisons in meta-analysis of randomized controlled trials. Journal of Clinical Epidemiology, 50(6):683-691, 1997. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1016/S0895-4356(97)00049-8")}.
C. Roever, T. Friede. Using the bayesmeta R package for Bayesian random-effects meta-regression. Computer Methods and Programs in Biomedicine, 299:107303, 2023. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1016/j.cmpb.2022.107303")}.
J.P.T. Higgins, J. Thomas, J. Chandler, M. Cumpston, T. Li, M.J. Page, V.A. Welch (eds.). Cochrane handbook for systematic reviews of interventions. Wiley and Sons, 2nd edition, 2019. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1002/9781119536604")}. http://training.cochrane.org/handbook.
C. Kiefer, S. Sturtz, R. Bender. Indirect comparisons and network meta-analyses. Deutsches Aerzteblatt International, 112(47):803-808, 2015. \Sexpr[results=rd]{tools:::Rd_expr_doi("10.3238/arztebl.2015.0803")}.
# load data:
data("BucherEtAl1997")
# show data:
head(BucherEtAl1997)
## Not run:
# compute effect sizes (log-ORs for pairwise comparisons)
# from the count data:
es <- escalc(measure="OR",
ai=events.A, n1i=total.A, # "exposure group"
ci=events.B, n2i=total.B, # "control group"
slab=study, data=BucherEtAl1997)
# specify regressor matrix:
X <- cbind("TMP.DP" = rep(c(1, 0, 1), c(8,5,9)),
"AP.DP" = rep(c(0, 1,-1), c(8,5,9)))
# perform Bayesian meta-regression:
bmr01 <- bmr(es, X=X)
# show default output:
print(bmr01)
# specify contrast matrix:
contrastX <- rbind("TMP-SMX vs. D/P"=c(1,0),
"AP vs. D/P" =c(0,1),
"TMP-SMX vs. AP" =c(1,-1))
# show summary including contrast estimates:
summary(bmr01, X.mean=contrastX)
# show forest plot including contrast estimates:
forestplot(bmr01, X.mean=contrastX, xlab="log-OR")
# perform frequentist meta-regression:
fmr01 <- rma(es, mods=X, intercept=FALSE)
print(fmr01)
# compare Bayesian and frequentist results;
# estimated log-OR for "TMP-SMX" vs. "D/P"
rbind("bayesmeta"=bmr01$summary[c("mean","sd"),"TMP.DP"],
"rma" =c(fmr01$beta["TMP.DP",], fmr01$se[1]))
# estimated log-OR for "AP" vs. "D/P"
rbind("bayesmeta"=bmr01$summary[c("mean","sd"),"AP.DP"],
"rma" =c(fmr01$beta["AP.DP",], fmr01$se[2]))
# estimated heterogeneity:
rbind("bayesmeta"=bmr01$summary["median","tau"],
"rma" =sqrt(fmr01$tau2))
## End(Not run)
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