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For all analyses, however, syntheses were achieved using a weighted linear combination of the study estimates so as to give more weight to studies of larger size.
Subsequently, these weights were applied to factor maps in a Geographical Information System using a weighted linear combination method.
We solve for m using a weighted linear least squares inversion: m = [G T W ϕ −1 G T W Φ −1 Φ −1 d, with formal errors (σ z and σ k ) of [G T W ϕ −1 G]−1.
We also compared our approach with two other recent meta-analyses on ant-plant mutualisms, emphasizing differences in our methodology (using a weighted linear mixed effects model) and our focus on plant reproduction rather than herbivore damage.
Quantitation was performed based on the area ratios of analyte and internal standard peaks using a weighted linear least squares regression analysis generated from fortified calibration standards in an artificial matrix, prepared immediately prior to each run.
We then directly compared the outcome between treated and untreated children using a weighted linear regression model.
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To allow for this uncertainty, we used a weighted linear regression with model weights given by the number of human SAR estimates.
The AGC of power system uses a weighted linear combination of deviations in frequency and tie-line power flows, called the area control error (ACE), for simultaneous minimization of the system frequency deviation and tie-line power changes.
To test hypotheses regarding the effects of plant, ant and environmental characteristics on the degree to which ant protection increased plant reproduction, we used a weighted linear mixed effects model fitted by restricted maximum likelihood [44].
To assess this, we used a weighted linear regression model.
In the second step, we used a weighted linear LASSO regression to select the covariates that are associated with the drug use.
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