rma.peto(ai, bi, ci, di, n1i, n2i, data,
slab=NULL, subset=NULL,
add=c(1/2,0), to=c("only0","none"), level=95, digits=4)
escalc
function for more details.escalc
function for more details.escalc
function for more details.escalc
function for more details.escalc
function for more details.escalc
function for more details.add
should be added. When set to "all"
, the value of add
is added to each cell of the 2x2 tables in all $k$ tables. When set to "only0"
c("rma.peto","rma")
. The object is a list containing the following components:print.rma.peto
function. If you also want the fit statistics, use summary.rma
(or use the fitstats.rma
function to extract them).
The residuals.rma
, rstandard.rma.peto
, and rstudent.rma.peto
functions extract raw and standardized residuals. Leave-one-out diagnostics can be obtained with leave1out.rma.peto
.
Forest, funnel, and radial plots of the individual outcomes can be obtained with forest.rma
, funnel.rma
, and radial.rma
. The qqnorm.rma.peto
function provides a normal QQ plot of the standardized residuals. One can also just call plot.rma.peto
on the fitted model object to obtain various plots at once.
A cumulative meta-analysis (i.e., adding one obervation at a time) can be obtained with cumul.rma.peto
.
Other assessor functions include coef.rma
, vcov.rma
, logLik.rma
, deviance.rma
, AIC.rma
, and BIC.rma
.ai
bi
n1i
group 2 ci
di
n2i
}
where ai
, bi
, ci
, and di
denote the cell frequencies and n1i
and n2i
the row totals. For example, in a set of RCTs, group 1 and group 2 may refer to the treatment and placebo group, with outcome 1 denoting some event of interest and outcome 2 its complement. In a set of case-control studies, group 1 and group 2 may refer to the group of cases and the group of controls, with outcome 1 denoting, for example, exposure to some risk factor and outcome 2 non-exposure.
An approach for aggregating 2x2 table data of this type was suggested by Peto (see Yusuf et al., 1985). The method provides a weighted estimate of the log odds ratio under a fixed-effects model. Note that the printed results are given both in terms of the log and the raw units (for easier interpretation).
The method itself does not require the calculation of the individual log odds ratios and directly makes use of the 2x2 table counts. Zero cells are not a problem (except in extreme cases, such as when one of the two outcomes never occurs in any of the tables). Therefore, it is also unnecessary to add some constant to the cell counts when there are zero cells. However, for plotting and various other functions, it is necessary to calculate the individual log odds ratios for the $k$ tables. Here, zero cells can be problematic, so adding a constant value to the cell counts ensures that all $k$ values can be calculated. The add
and to
arguments are used to specify what value should be added to the 2x2 cell frequencies and under what circumstances when calculating the individual log odds ratios and when applying Peto's method.### load BCG vaccine data
data(dat.bcg)
### meta-analysis of the (log) odds ratios using Peto's method
rma.peto(ai=tpos, bi=tneg, ci=cpos, di=cneg, data=dat.bcg)
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