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On all occasions a markedly high percentage of the variation encountered also occurred at the smallest scale of the study, i.e., the residual scale of the ANOVA analyses.
A huge amount of produced water containing various types and amount of residual scale and corrosion inhibitors is discharged into the environment everyday, which has brought focus of environment regulatory bodies and encourages operators to look for greener chemicals.
In preliminary analyses, all genotyped animals were included in the training set (for each breed separately) to obtain estimates of genetic and residual variances for constructing priors for genetic and residual scale parameters.
In preliminary analyses, all the genotyped bulls were included in the training set to obtain estimates of genetic and residual variances to construct the priors for the genetic and residual scale parameters.
The estimates of genetic and residual variances for constructing priors of genetic and residual scale parameters for Bayes-B analysis [ 80], were obtained from preliminary Bayes-C analyses with π = 0.95 [ 81], which is less sensitive to prior assumptions than Bayes-B.
We also assumed: where G0 is the sire-MGS (co variance matrix, and H0 is the HYS (co variance matrix, Residual scale parameters (R0) in heavy-tailed models cannot be directly compared with the residual (co variance (R0) in the normal model, nor used in estimation of heritabilities, residual or phenotypic correlations.
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Residual-scaled local standard deviations method.
First, a new noise estimation method, named residual-scaled local standard deviations, is used to analyze the noise condition of HJ-1A hyperspectral images.
X = GF + E. [1] Elements of G and F are constrained to be non-negative and minimize the sum of the squared residuals scaled by their standard deviation (uncertainty), Q: Q = Σ∀ ij [(X – GF) ij/Σ ij], [2] where i = 1, 2,…, n (samples) and j = 1, 2,…, m (species).
The program minimized the root mean squared error: (6) r m s e = e T ⋅ e (n − p ) with e the vector of residuals scaled by their maximum values, n the number of measurements and p the number of parameters to estimate.
By calculating the time series of the Cα torsion angles and their clustering it is possible to determine the mechanistic details on a residual length scale and find major events occurring in the simulation of large proteins or protein complexes.
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