Partial coefficient

Such a high correlation coefficient indicates that the regression model describes the experimental data extremely well. Apart from the mentioned multiple correlation coefficient the following partial coefficient of determination ... 

It is clear that from the partial coefficient of determination rx, y=0.9956 and multi-... 

Chou, J.T. and Jurs, P.C. (1979). Computer-Assisted Computation of Partial Coefficients from Molecular Structures Using Fragment Constants. J.Chem.Inf.Comput.ScL, 19,172-178. 

The square of the partial coefficients in the ground K"L state for the outer orbitals composed, at least in part, of F 2p. Also shown in parentheses are the energies (eV), relative to the energies of the highest occupied molecular orbitals (HOMO) for MgF FeF CoFj, NiFj and ZuF,. 

The net conversion coefficient, 77 = 777(1 -1), is a very important parameter defining how much of the absorbed energy of a pump pulse is converted to ASE radiation. Here, ff is the ratio of the energy of the overall output ASE (both forward and backward) to the energy of the incident pump pulse and T is the transmission of the pump pulse. To make comparison between the R- and L-components of the ASE we evaluated the partial coefficients, 77 and t [ 13] The overall coefficients can be found as a sum of the partial ones. 

Chou, J.T and Jius, P.C. (1979) Computer-assisted computation of partial coefficients from molecular structures using fragment constants. J. Chem. Inf. Comput. Sci., 19, 172—178. 

The total absorption coefficient a(v) and partial coefficients a/(v) pertinent to various specific mechanisms are given by... 

Gamma-ray absorption occurs as illustrated in Figure 6.16 by four different processes coherent scattering, photoelectric effect, Compton effect, and pair production. For each of these processes, a partial coefficient can be expressed ... 

Several general formulas are used to determine the partial coefficients, and they are direct extensions of the partial sum-of-squares computations. The population partial coefficient of determination equation for y on X2 with Xi, X3, X4 in the model is... 

As noted earlier, the multiple partial coefficient of determination, r, usually is more of interest than the multiple partial correlation coefficient, because of its direct applicability. That is, an = 0.83 explains 83% of the variability. An r = 0.83 cannot be directly interpreted, except the closer to 0 the value is, the smaller the association the closer r is to 1, the greater the association. The coefficient of determination computation is straightforward. From the model, F = /3o + IB Xi + 2 2 + 3X3 + 4X4, suppose that the researcher wants to compute x x, X2>y or the joint contributiOTi of X3 and X4 to the model with Xi and X2 held constant. The form would be... 

However, the multiple partial coefficient of determination generally is not as useful as the F-test. If the multiple partial F-test is used to evaluate the multiple contribution of independent predictor values, while holding the others (in this case Xi, X2) constant, the general formula is... 

Alternatively, one can perform a series of partial correlations or partial coefficients of determination between an x, and the other x, variables that are held constant that is,. .3,.3).and4,3, ... 

If = 0.9, the correlation coefficient is r,y = 0.95. One may wonder why one would calculate a VIF if merely looking for an > 0.90 That is because many regression software programs automatically compute the VIF and no partial coefficients of determination. Some statisticians prefer, instead, to use the tolerance factor (TF), measuring unaccounted-for variability. 

PARTIAL COEFFICIENTS OF VISCOSITY OF THE LOW-MOLECULAR SOLUTION COMPONENTS... 

Since nPjnx is a force applied to the unit of the volume of solution, then jdPjdx is a force, applied to the presented component into unit of the volume. Thereby, it can be supposed, that the endowment of the presented component into general viscosity of solution t depends not only on the partial coefficient of viscosity rj. but also on volumetric part (p.. That is why we postulate the dependence ... 

Temperature Coefflelenf. As the temperature of the reactor rises, the reactivity falls. The reactivity temperature coefficient, defined as the change in Ak/k per degree centigrade temperature rihe in the reactor, is the sum of three partial coefficients These partial coefficients arise from... 

The design material property is arrived at by dividing the characterstic value by the relevant partial coefficient. 

Compression flange buckling Lateral torsional buckling Partial coefficients ULS SLS... 

The values of the design masomy mechanical properties are calculated by dividing the characteristic values by a suitable partial coefficient of the material, Tm=TM, and also by a suitable partial coefficient concerning the resistance model, Tr , as... 

As proven, in order to find K-planes as well as the concentration dependencies for partial coefficients, one should have the velocity curve. The usual experimental method, providing this, is the multilayer method. The diffusion couple consists of several thin layers (generally, 10-20 gm thick) with inert markers placed between them. After annealing, the displacement of each marker plane is measured, and the velocity of each plane is determined by the equation [34, 35]... 

To be rigorous from a mathematical standpoint, the global coefficient aM is not equal to the sum of partial coefficients ... 

Because tiiie overall mass transfer coefficients increase witii the partial mass transfer coefficients, the increasing of the efficiency of the packing is connected wife fee increasing of its partial coefficients. 

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