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This can be implemented in Stata using the somersd [ 23] function with importance weights, which also gives an appropriately weighted standard error.
The instantaneous harmonic spectral spread is the amplitude (linear scale) weighted standard deviation of the harmonic peaks of the spectrum, normalized by the instantaneous harmonic spectral centroid.
Finally a value of Dp=6.101×10−9 m2/s was obtained from correlation of experimental data to simulated curves and using the minimum weighted standard deviation as optimisation criterion.
The average absorbed dose to water per emitted beta particle was finally assessed as the weighted average of TLD measurements and resulted to be (1.09 ± 0.07) × 10−11 Gy/particle, with an associated relative weighted standard uncertainty of 6.3%.
An optimization of the parameters D, solute diffusivity in the aqueous phase, and Keq, equilibrium constant of the extraction chemical reaction, with all the experimental results, using as criterion the minimum weighted standard deviation, gave as a result the value of the parameter D = 2.3 × 10−9 m2/s and values of Keq dependent upon the initial concentration of Cr VI) in the feed solution.
Weighted averages and weighted standard errors of the mean (SEMs) were calculated in percent and normalised to the control set to 100%.
Similar(31)
In both the standard weighted and standard unweighted analyses, composition data reported for different cultivars/varieties and/or years/growing seasons in the same publication were averaged before being used in the meta-analyses.
What if there are fundamental conflicts between equally weighted standards?
Analyses are weighted and standard errors are adjusted for the complex sampling design.
We found a highly significant relationship between MS patient-linked admissions and latitude (r weighted by standard error (rsw) = 0.75, p = 0.002).
12 Table 3 shows weighted mean standard deviations, which indicated a large variation between participants.
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