Description Usage Arguments Details Value Author(s) References Examples
This function provides meta-analysis of multivariate correlated data using the marginal method of moments with working independence assumption as described by Chen et al (2016). As such, the meta-analysis does not require correlations between the outcomes within each dataset.
1 |
y |
A matrix of results from each of the |
uy |
A matrix with uncertainties of the results given in |
knha |
(Logical) Allows for the adjustment of consensus uncertainties using the Birge ratio (Knapp-Hartung adjustment) |
verbose |
(Logical) Requests annotated summary output of the results |
The marginal method of moments delivers the inference for correlated effect sizes using multiple univariate meta-analyses.
studies |
The number of independent studies |
beta |
The consensus estimates for all outcomes |
beta.u |
Standard uncertainties of the consensus estimates |
beta.U95 |
Expanded uncertainties of the consensus estimates corresponding to 95% confidence |
beta.cov |
Covariance matrix of the consensus estimates |
beta.cor |
Correlation matrix of the consensus estimates |
H |
Birge ratios (Knapp-Hartung adjustment) which were applied to adjust the standard uncertainties of each consensus outcome |
I2 |
Relative total variability due to heterogeneity (in percent) for each outcome |
Juris Meija <juris.meija@nrc-cnrc.gc.ca> and Antonio Possolo
Y. Chen, Y. Cai, C. Hong, and D. Jackson (2016) Inference for correlated effect sizes using multiple univariate meta-analyses. Statistics in Medicine, 35, 1405-1422
J. Meija and A. Possolo (2017) Data reduction framework for standard atomic weights and isotopic compositions of the elements. Metrologia, 54, 229-238
1 2 3 | ## Consensus isotope amount ratios for platinum
df=normalize.ratios(platinum.data, "platinum", "195Pt")
mmm(df$R, df$u.R)
|
Multivariate Marginal Method of Moments with working independence assumption
Chen et al (2016) DOI: 10.1002/sim.6789
Number of studies: 4
Isotope ratios
190Pt/195Pt 192Pt/195Pt 194Pt/195Pt 196Pt/195Pt 198Pt/195Pt
Consensus values
0.0003826 0.0232464 0.9728039 0.7471211 0.2145943
Standard uncertainty
0.0000106 0.0001444 0.0015868 0.0010886 0.0016349
Expanded uncertainty, 95 %
0.0000308 0.0004199 0.0046150 0.0031661 0.0047546
Birge ratio (Knapp-Hartung adjustment) for each outcome
1.18 1.00 1.00 1.00 1.00
Relative total variability due to heterogeneity (%) for each outcome
95.6 99.6 99.3 90.4 98.4
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