epi.mh {epiR}

Fixed-effects meta-analysis of binary outcomes using the Mantel-Haenszel method

Description

Computes individual study odds or risk ratios for binary outcome data. Computes the summary odds or risk ratio using the Mantel-Haenszel method. Performs a test of heterogeneity among trials. Performs a test for the overall difference between groups (that is, after pooling the studies, do treated groups differ significantly from controls?).

Usage

epi.mh(ev.trt, n.trt, ev.ctrl, n.ctrl, names, method = "odds.ratio", 
   alternative = c("two.sided", "less", "greater"), conf.level = 0.95)

Arguments

ev.trt

observed number of events in the treatment group.

n.trt

number in the treatment group.

ev.ctrl

observed number of events in the control group.

n.ctrl

number in the control group.

names

character string identifying each trial.

method

a character string indicating the method to be used. Options are odds.ratio or risk.ratio.

alternative

a character string specifying the alternative hypothesis, must be one of two.sided, greater or less.

conf.level

magnitude of the returned confidence interval. Must be a single number between 0 and 1.

Details

alternative = "greater" tests the hypothesis that the Mantel-Haenszel summary measure of association is greater than 1.

Value

A list containing the following:

OR

the odds ratio for each trial and the lower and upper bounds of the confidence interval of the odds ratio for each trial.

RR

the risk ratio for each trial and the lower and upper bounds of the confidence interval of the risk ratio for each trial.

OR.summary

the Mantel-Haenszel summary odds ratio and the lower and upper bounds of the confidence interval of the Mantel-Haenszel summary odds ratio.

RR.summary

the Mantel-Haenszel summary risk ratio and the lower and upper bounds of the confidence interval of the Mantel-Haenszel summary risk ratio.

weights

the raw and inverse variance weights assigned to each trial.

heterogeneity

a vector containing Q the heterogeneity test statistic, df the degrees of freedom and its associated P-value.

Hsq

the relative excess of the heterogeneity test statistic Q over the degrees of freedom df.

Isq

the percentage of total variation in study estimates that is due to heterogeneity rather than chance.

effect

a vector containing z the test statistic for overall treatment effect and its associated P-value.

Note

Using this method, the pooled odds and risk ratios are computed using the raw individual study weights. The methodology for computing the Mantel-Haenszel summary odds ratio follows the approach decribed in Deeks, Altman and Bradburn MJ (2001, pp 291 - 299).

The function checks each strata for cells with zero frequencies. If a zero frequency is found in any cell, 0.5 is added to all cells within the strata.

References

Deeks JJ, Altman DG, Bradburn MJ (2001). Statistical methods for examining heterogeneity and combining results from several studies in meta-analysis. In: Egger M, Davey Smith G, Altman D (eds). Systematic Review in Health Care Meta-Analysis in Context. British Medical Journal, London, 2001, pp. 291 - 299.

Higgins JP, Thompson SG (2002). Quantifying heterogeneity in a meta-analysis. Statistics in Medicine 21: 1539 - 1558.

See Also

epi.dsl, epi.iv, epi.smd

Examples

## EXAMPLE 1:
data(epi.epidural)
epi.mh(ev.trt = epi.epidural$ev.trt, n.trt = epi.epidural$n.trt, 
   ev.ctrl = epi.epidural$ev.ctrl, n.ctrl = epi.epidural$n.ctrl, 
   names = as.character(epi.epidural$trial), method = "odds.ratio",
   alternative = "two.sided", conf.level = 0.95)