mvtmeta_fe {mvtmeta}

Fixed effects multivariate meta-analysis.

Description

This function computes the effect estimates and their covariance matrix for fixed effects multivariate meta-analysis, which is an extension of the inverse-variance fixed effects meta-analysis in the univariate case.

Usage

mvtmeta_fe(y, cov)

Arguments

y

A matrix. Each column represents observed effect estimates in each study.

cov

An array with the first two dimensions equal to the number of effects, and the third dimension equal to the number of studies. Each stratum is a symmetric, positive definite matrix representing corresponding covariance matrix from each study.

Details

This function is an multivariate extension of the inverse-variance fixed effects meta-analysis. It computes the summary effect estimates and their covariance matrix using observed study-specific effect estimates and covariance matrices. Please make sure that the orders of effects and studies in y and cov match.
Please note that fixed effects meta-analysis may provide invalid results when heterogeneity is present.

Value

beta

Summary effect estimates from meta-analysis.

cov

The covariance matrix for the summary effect estimates.

Author(s)

Han Chen

References

Chen, H., Manning, A.K. and Dupuis J. (2012) A method of moments estimator for random effect multivariate meta-analysis. Biometrics 68, 1278-1284.

See Also

mvtmeta_re

Examples

y <- matrix(c(0.3161, 7.4015, 0.4278,
              -0.3201, 6.9426, -0.9816,
              0.6983, 4.6680, -0.2415,
              3.2736, 4.3080, 0.2052,
              -0.1599, 5.6398, -0.6782,
              -0.6989, 6.3158, -0.7918,
              -3.6094, 9.3429, -2.8711,
              0.2172,6.4078,-0.6093), 3, 8)
cov <- array(c(2.3568, -1.2105, 0.8524, -1.2105, 9.7029,
                       -6.1753, 0.8524, -6.1753, 4.4114,
               0.2529, 0.1498, -0.1019, 0.1498, 0.7016,
                       -0.4167, -0.1019, -0.4167, 0.2743,
               0.1444, -0.0652, 0.0433, -0.0652, 0.6481,
                       -0.3899, 0.0433, -0.3899, 0.2608,
               3.8428, -4.5587, 3.2892, -4.5587, 10.3517,
                       -6.6684, 3.2892, -6.6684, 4.8268,
               0.1161, -0.0992, 0.0645, -0.0992, 0.4363,
                       -0.2610, 0.0645, -0.2610, 0.1733,
               0.1603, 0.0242, -0.0129, 0.0242, 0.7697,
                       -0.4686, -0.0129, -0.4686, 0.3180,
               3.2054, -1.1984, 0.8437, -1.1984, 17.8889,
                       -10.7697, 0.8437, -10.7697, 7.2101,
               0.0278, 0.0136, -0.0091, 0.0136, 0.1184,
                       -0.0716, -0.0091, -0.0716, 0.0482), c(3, 3, 8))
fe <- mvtmeta_fe(y, cov)
fe