Absolute correlation

No absolute correlations between theoretical predictions and experimental observations exist. 

Inner-shell correlation is a substantial part of the absolute correlation energy even for late first-row systems for second-row systems, it in fact rivals the absolute valence correlation energy in importance. However, its relative contribution to molecular TAEs is fairly small in benzene, for instance, it amounts to less than 0.7 % of the TAE. Even so, at 7 kcal/mol, its contribution is important by any reasonable thermochemical standard. By the same token, a 1 % relative error in a 7 kcal/mol contribution is tolerable even by benchmark thermochemistry standards, while the same relative error in a 300 kcal/mol contribution would be unacceptable even by the chemical accuracy standards. 

High (absolute) correlation coefficient with the v-variable however, note that also variables with a weak correlation can become important if they are able to explain variability of y that is not captured by other regressor variables. A better strategy could thus be based on an iterative procedure, where only in the first step the variable with highest correlation with v is selected. Then a model is computed using the selected variable and the residuals are computed. In the next step the variable with the (absolute) highest correlation coefficient with the residuals is selected, and so on. However, this approach already considers the multivariate data information. 

An often-used version of stepwise variable selection (stepwise regression) works as follows Select the variable with highest absolute correlation coefficient with the y-variable the number of selected variables is mo= 1. Add each of the remaining x-variables separately to the selected variable the number of variables in each subset is nii = 2. Calculate F as given in Equation 4.44,... 

Absolute correlations between service performance and electrochemical measurements do not appear frequently in the literature. Based on 300 test systems. Bacon and coworkers (, correlated electrochemical resistance with exposure time. Recently, Mills ( also observed a correlation between salt fog corrosion and electrochemical resistance. We have found open circuit potential measurements to be extremely useful for the routine evaluation of high-nitrile polymer-based photocured coatings. 

In order to critique the differences between these techniques at the 30% level, it is necessary to consider both latitudinal, seasonal, and diurnal variation, all of which tend to improve the absolute correlation between the measurements of CIO. Thus, while significant differences... 

Two liquid crystalline polybenzylglutamate solutions, adjusted to the same Newtonian viscosity, have been investigated Theologically. The steady state shear properties and the transient behaviour are measured. For the same kind of polymer, the dynamic moduli upon cessation of flow can either increase or decrease with time. This change in dynamic moduli shows a similar dependency on shear rate as the final portion of the stress relaxation but no absolute correlation exists between them. By comparing the transient stress during a stepwise increase in shear rate with that during flow reversal the flow—induced anisotropy of the material is studied. 

From Table 12, the absorbance at X.12 exhibits the highest correlation with tryptophan concentration and this is the first variable added to the equation, Equation (43). To choose the second variable, we could select ylis as this has the second highest absolute correlation with 7> but this may not be the best choice. Some other variable combined with A12 may give a higher multiple correlation than Ais and A12. 

From Table 14 the variable having the largest absolute correlation with Tr residuals is A9. Therefore we select this as the second variable to be added to the regression model. 

The generalisation that all members of the same CAZy sequence family adopt the same protein fold holds for CBMs in addition to hydrolases. However, the absolute correlation between CAZy sequence family and mechanism that holds for the glycohydrolases breaks down for CBMs. 

Reagents for the fluorescent cytochemical assay of estrogen and progesterone assays are available in the United States and are FDA approved (Zeus Scientiflc, Inc). There has not been absolute correlation of these techniques with biochemical methods (P3). 

The matrix of residuals (Tr-f, Ag —Ag, Ai -415, etc.) is given in Table 6.13, and the corresponding correlation matrix between these residuals in Table 6.14. From Table 6.14 the variable having the largest absolute correlation with Tr residuals is Ag. Therefore we select this as the second variable to be added to the regression model. 

Since about 93% of the spectral variance is contained in the first two eigenvectors, and the corresponding principal components have the highest, absolute correlation values with concentration, then a regression model containing these two variables is suggested. 

CONTINUOUS PRODUCTION A process in which a material is continuously produced in a step or series of steps. In a continuous process, the batches of raw materials and the process parameters can be statistically, but not absolutely, correlated to the material produced in a given period of time. 

If a single predictor X is chosen from a leirger set of Xj, j n to form a regression for the target variable Y, then the X with the highest absolute correlation coefficient with Y should be selected. This is the optimal choice partlculeirly in linear regression (see Subsection 6.2.1), since the coefficient of determination in a simple linear re-... 

The two descriptor sets considered above were those that gave the best models in linear modeling or in a regression tree. We then tested another two descriptor sets that were selected according to correlation coefficients with MIC. Descriptor set BCC contains the five descriptors showing highest absolute correlation coefficients with MIC,... 

As it is the case here, n descriptors with the highest absolute correlation coefficients to the target variable often form a significantly worse descriptor set in MLR than the set obtained by BSS. A reason for that maybe strong intercorrelation of descriptors, as we saw in Section 7.5. In order to account for this, we calculated the following reference value for a descriptor subset H ... 

It is appropriate to include brief comments about the compilation of Table 1. The simulation correlation times for various vectors were calculated by directly integrating the appropriate P2 correlation functioa The corresponding experimental quantitites were obtained from NMR T1 values [67]. Observed activation energies have been used to adjust some correlation times to 273 K. The comparison between simulated and actual absolute correlation times is problematic because of the different viscosity scaling (see Sect. 4.4). We have previously argued that a comparison at low viscosity is reasonable [24]. The experimental values correspond to a viscosity of 1.6 cl this is a reasonable estimate of the viscosity implicit in the simulations. Experimental results for polyethylene near room temperature are not available polyethylene crystallizes in typical organic solvents. 

Usually a high surface tension, greater than 40 mN/m, sets the basis for good adhesion, although there is no absolute correlation between surface tension and bond strength. 

Fourteen local anesthetics were applied in this procedure on silica gel HPTLC plates and eleven mobile phases were used in the experiments. The selection was performed by searching for the lowest absolute correlation coefficient. The lowest absolute correlation coefficient was obtained by combination of mobile phase 1 and 3, composed respectively of cyclohexane-benzene-diethylamine (75 15 10) and n-butanol-glacial acetic acid-water (8 2 2). The combination of these mobile phases yielded a separation response value of 95.9%. 

It should not be assumed that during enzyme induction with phenobarbital. there is absolute correlation between proliferation of the smooth endoplasmic reticulum and increases in microsomal enzyme activity. On the contrary, during... 

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