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W is an index that measures the ratio of the observed variance of the sum of ranks to the maximum possible variance of sum of ranks.
Fetal growth velocity, together with the early changes in BMI explained 41% of the variance of sum of skinfolds at 12 months in this group.
When decomposing the variance of sum scores, the measurement error variance (the unreliability) ends up as part of the non-shared environmental variance.
Typically, a number of items is presented to a number of subjects, the subjects' sum scores on the items are computed, and the variance of sum scores is decomposed into a number of variance components.
With respect the total variance (9), if the total variance, instead of the true score variance, is assumed to be fixed, Var(S) is an increasing function of ρ, which conforms to an elementary statistical theory that variance of sum of correlated variables increases with increasing correlation.
The texture features included angular second moment, contrast, correlation, inverse difference moment, average of sum, variance of sum, entropy of sum, entropy, average of difference, variance of difference, entropy of difference, measurement of correlation 1 information, and measurement of correlation 2 information [ 40].
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The parameterisation modelled the variances of sum and differences scores for the latent trait (Van den Berg et al. 2006a).
Since the variance of a sum is the sum of variance, (A.7) is also (A8).
The variance of the sum is equal with the sum of variances [34].
These computations of moments for a single sequence can easily be extended to a set of independent sequences by taking advantage of the fact that the cumulants (the first two cumulants are the expectation and the variance) of a sum of independent variables are the sum of the individual cumulants.
The Bienaymé formula states that the variance of the sum of uncorrelated random variables equals the sum of variances of the random variables [ 30].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com