Method of correlated vectors

TABLE 2 Example of the method of correlated vectors based on the evoked potential habituation index (EPHI) and the factor loadings of the Wechsler Adult Intelligence Scale (WAIS)... 

The same method of correlated vectors based on the -loadings of many different psychometric tests has revealed the predominant relationship ofg to various non-psychometric variables in studies from different laboratories around the world (all of them referenced in Jensen 1998). Typical vector correlations are shown in parentheses ... 

Fechner U, Lutz F, Renner S, Schneider P, Scheider G. (2003) Comparison of Correlation Vector Methods for Ligand-Based Similarity Searching. /. Comput.-Aided Mol. Des. 17 687-698. 

Fechner, U., Franke, L., Renner, S Schneider, P. and Schneider, G. (2003) Comparison of correlation vector methods for ligand-based similarity searching./. Comput. Aid. Mol. Des., 17, 687-698. 

The Brueckner-reference method discussed in Section 5.2 and the cc-pvqz basis set without g functions were applied to the vertical ionization energies of ozone [27]. Errors in the results of Table IV lie between 0.07 and 0.17 eV pole strengths (P) displayed beside the ionization energies are approximately equal to 0.9. Examination of cluster amplitudes amd elements of U vectors for each ionization energy reveals the reasons for the success of the present calculations. The cluster operator amplitude for the double excitation to 2bj from la is approximately 0.19. For each final state, the most important operator pertains to an occupied spin-orbital in the reference determinant, but there are significant coefficients for 2h-p operators. For the A2 case, a balanced description of ground state correlation requires inclusion of a 2p-h operator as well. The 2bi orbital s creation or annihilation operator is present in each of the 2h-p and 2p-h operators listed in Table IV. Pole strengths are approximately equal to the square of the principal h operator coefiScient and contributions by other h operators are relatively small. 

Fig. 16.4. Three methods of obtaining Raman-based estimates of biofluid concentrations in vivo, a Confocal isolation of a subsurface volume occupied by a blood vessel, enabling direct measurement of a blood spectrum, b Difference measurement between tissue in two states, one with more blood in the sampling volume (in this case, due to pressure modulation by the subject [6]). Computing the difference removes the bulk tissue contributions to the spectral measurement and emphasizes the contribution from blood, c Statistical correlation approach of measuring many volunteers tissue in a region where sufficient blood is present (e.g., the forearm as shown here) and obtaining a correlated reference value from a blood sample drawn at the same time. Multivariate calibration is then used to find correlations between the reference value and the spectral data vector. Unlike the previous two methods, this does not intrinsically isolate the blood chemicals Raman signatures from those of the surrounding tissue volume...

Which influence do different scaling methods have on the performance of the topological CATS descriptor We addressed this question with a comparison of three different ways of scaling the correlation vector descriptor [38] ... 

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