Regression performing

The adaptive parameters in the model were estimated by nonlinear and multiresponse regression, performed using the Fortran subroutine BURENL23 based... 

This regression, performed as described under the linear regression section, gives us the model... 

Results were analyzed by nested mixed-model ANOVA s using general linear procedures, in the MINITAB 15 statistical program. Nested mixed-model ANOVA was used when multiple leaves per tree and multiple trees per treatment were available. Additional analyses were linear and quadratic regressions (performed in MINITAB 15 and Excel), and when significant differences occurred, means were compared using Student s t-test or nested mixed-model ANOVA. 

Fig. 3 Shell spring constant multiplied with the shell radius, which makes the data from shells of different radius collapse onto a master curve, and plotted against the square of the shell thickness. Black triangles shells with 9.6 micrometer radius, grey squares shells with 7.85 micrometer radius. Full lines correspond to linear regressions performed on each data set separately. In both cases the predicted scaling of the shell spring constant proportional to h2 is found in the experiment...

The inner compartment concentration is calculated by mass balance. C (which is Cinner - P0wC0uier) s t ien uset n 3 f°rm appropriate to Equation (6.7), i.e., C /j plotted against W 1/2 and linear regression performed, as illustrated in Figure 6.7. This is the fundamental form of RDC results hereafter the gradient and intercept of such analyses are termed plot gradient and plot intercept respectively. 

Of the human skin permeation data compiled by Flynn (1990) and analyzed by Potts and Guy (1992), only six of the 92 compounds have log values less than zero, and only two of those six have log K values less than negative 1. Clearly, the regression performed by Potts and Guy (1992) for human skin data was weighted almost entirely by relatively lipophilic permeants. In light of this fact, it seems worthwhile to focus on the polar permeants included in the analyses of Potts and Guy (1992) to see how well the proposed correlations actually predict the permeability coefficients for these permeants. Of the permeants included in the human skin analysis, sucrose and water are the most polar (log == -3.7 and -1.4, respectively). The correlation that results from the fit of the compiled data to the equation proposed by Potts and... 

Generalised (multiple) Standard Addition Method Equation (2.20) can be applied to a data set obtained by spiking the unknown samples with known amounts of the components to be determined. In this case, the cs/ values will correspond to the added concentrations of each component in each standard. As above, the regressions performed for each measuring channel will provide the kj11 and zm values, which will represent estimates of the sensitivity of each component and the sample signal (in the absence of additive interferences), respectively. Finally, by using Eq. (2.20) with the zm values, one can calculate the concentration of each component in the unknown sample. 

DISCO, Hiphop, and DANTE all perform classification. Catalyst s HypoGen predicts activity according to the linear regression performed, using the scoring function described above. 

The two methods give exactly the same result because the software package for performing the power law regression performs the transformation to linear form for you. Both methods are actually performing a linear regression. 

From the linear regression performed on the data shown in Figure 11.22, the following kinetic parameters were obtained ... 

Quantification of neplanocin A in the presence of aristeromycin was found to be such an example. Accurate quantification of neplanocin A under these circumstances was not possible using PLS regression performed on the whole data set (see Figure. 4) however, PCA followed by DFA was successfully used to discriminate between the mutant classes (Figure... 

Therefore, a plot of In k versus 1 /T can be made or hnear regression performed after the rate constants have been determined for a reaction carried out at several temperatures. The slope of the line is — /R and the intercept is In A. Such a graph, like that shown in Figure 1.10, is often called an Arrhenius plot. It is from the slope, determined either numerically or graphically, that the activation energy is determined. 

Before the advent of computer technology and the computerized statistical methods for data analysis, a procedure that was employed extensively in the analysis of enzyme kinetic data was linear regression. It is important to point out that linear regression performed by the least squares method should not be used unless the values are weighted. If it is used without proper weighting one can get bad results. 

FIGURE 3.18 Comparative observed-predicted plots and their regression performances for the test data of Table 3.16 employed with the models la and III (upper left and right) and Ilb and lie (bottom left and right) of the Table 3.17, respectively after (Putz et al., 2009a). 

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