dat.berkey1998 | R Documentation |
Results from 5 trials comparing surgical and non-surgical treatments for medium-severity periodontal disease one year after treatment. \loadmathjax
dat.berkey1998
The data frame contains the following columns:
trial | numeric | trial number |
author | character | study author(s) |
year | numeric | publication year |
ni | numeric | number of patients |
outcome | character | outcome (PD = probing depth; AL = attachment level) |
yi | numeric | observed mean difference in outcome (surgical versus non-surgical) |
vi | numeric | corresponding sampling variance |
v1i | numeric | variances and covariances of the observed effects |
v2i | numeric | variances and covariances of the observed effects |
The dataset includes the results from 5 trials that compared surgical and non-surgical methods for the treatment of medium-severity periodontal disease. Reported outcomes include the change in probing depth (PD) and attachment level (AL) one year after the treatment. The outcome measure used for this meta-analysis was the (raw) mean difference, calculated in such a way that positive values indicate that surgery was more effective than non-surgical treatment in decreasing the probing depth and increasing the attachment level (so, the results from the various trials indicate that surgery is preferable for reducing the probing depth, while non-surgical treatment is preferable for increasing the attachment level). Since each trial provides effect size estimates for both outcomes, the estimates are correlated. A multivariate model can be used to meta-analyze the two outcomes simultaneously.
The v1i
and v2i
values are the variances and covariances of the observed effects. In particular, for each study, variables v1i
and v2i
form a \mjeqn2 \times 22x2 variance-covariance matrix of the observed effects, with the diagonal elements corresponding to the sampling variances of the mean differences (the first for probing depth, the second for attachment level) and the off-diagonal value corresponding to the covariance of the two mean differences. Below, the full (block diagonal) variance-covariance for all studies is constructed from these two variables.
medicine, dentistry, raw mean differences, multivariate models
Wolfgang Viechtbauer, wvb@metafor-project.org, https://www.metafor-project.org
Berkey, C. S., Antczak-Bouckoms, A., Hoaglin, D. C., Mosteller, F., & Pihlstrom, B. L. (1995). Multiple-outcomes meta-analysis of treatments for periodontal disease. Journal of Dental Research, 74(4), 1030–1039. https://doi.org/10.1177/00220345950740040201
Berkey, C. S., Hoaglin, D. C., Antczak-Bouckoms, A., Mosteller, F., & Colditz, G. A. (1998). Meta-analysis of multiple outcomes by regression with random effects. Statistics in Medicine, 17(22), 2537–2550. https://doi.org/10.1002/(sici)1097-0258(19981130)17:22<2537::aid-sim953>3.0.co;2-c
### copy data into 'dat' and examine data dat <- dat.berkey1998 dat ## Not run: ### load metafor package library(metafor) ### construct block diagonal var-cov matrix of the observed outcomes based on variables v1i and v2i V <- vcalc(vi=1, cluster=author, rvars=c(v1i, v2i), data=dat) ### fit multiple outcomes (meta-regression) model (with REML estimation) res <- rma.mv(yi, V, mods = ~ outcome - 1, random = ~ outcome | trial, struct="UN", data=dat) print(res, digits=3) ### test/estimate difference between the two outcomes anova(res, X=c(1,-1)) ### fit model including publication year as moderator for both outcomes (with ML estimation) res <- rma.mv(yi, V, mods = ~ outcome + outcome:I(year - 1983) - 1, random = ~ outcome | trial, struct="UN", data=dat, method="ML") print(res, digits=3) ## End(Not run)
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