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Exact(7)
The environmental variability was quantified by the variance of the respective means of replicates.
FA/PCA applied to the data sets pertaining to three catchments regions of the river resulted in seven, seven and six latent factors, respectively responsible for the data structure, explaining 74.3, 73.6 and 81.4% of the total variance of the respective data sets.
where σ2 = variance of the respective quantity in brackets, Δy is the deviation between prediction and experimental value, and y is the quantity being predicted.
For each test, we analytically derive two sets of the mean and variance of the respective score: that expected from a proposed model (Imoto, 2009; Imoto and Rhoades, 2010) and that of the probable score if uncertainties in hypocenter parameters are taken into account.
When the two total test scores were included in each of these three formulations of IIV, their standardized versions were used and the standardization was based on the mean and variance of the respective diagnostic groups.
The construct validities of the scales for each component were obtained through the ratio of the squared loading of each scale on the factor and the highest common variance of the respective component.
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In addition to analyzing the global tests of significant difference between the fixed effects, we analyzed the variances of the respective fixed effects across scaling models (given a country) and the variance of the fixed effects across countries (given a fixed effect).
Percentages of shape variation for which size accounted were computed from the Procrustes variances of the shapes predicted by the regression and the total Procrustes variance for the respective analysis (asymmetry or means of both sides).
However, the low model contribution of CRP (about 5%) indicates that only a very small proportion of variance in the respective indices remains unexplained without CRP, which is in accord with the small numerical value of CRP in the SDAI and the DAS28-CRP.
I represents an identity matrix of an appropriate size, A is the additive genetic relationship matrix, and σ2 denotes the variance of each of the respective random effects.
where Sr2 and Se2are mean of the model and residuals square respectively, obtained by dividing the sum of squares of each of the two sources of variation, the model, and the error variance, by the respective degrees of freedom (DF) [27].
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Justyna Jupowicz-Kozak
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