Goodness-of-fit index

Table 6 Goodness-of-fit indexes for the monthly calibrations and verifications...

If either a or fi is known for a given structure, eqs. (1)—(4) in Table 6.2.1 can be used to evaluate the remaining angle. Another possible use of these equations is in assessing the extent to which the cores of related compounds deviate from idealized Id symmetry. For this purpose we assume that there is no systematic variation in the observed M-Y bond distances and define a goodness-of-fit index S by the equation ... 

AGFl Goodness of Fit Index Adjusted for degrees of Freedom >.90... 

Based on previous recommendations [31], a combination of graphical techniques and error index statistics was used for evaluating the goodness-of-fit between the simulated and observed streamflow values, both during the calibration and validation period. The used statistics were the mean error (ME), the percent bias (PBIAS, [32]) and the Nash-Sutcliffe efficiency (NSeff, [33]) ... 

Reference should also be made to a superdelocalizability index Sp derived within the frame of the simple FEMO model [35], Goodness of fit of correlations of SfE values with relative rate constants for electrophilic aromatic substitution was found to be comparable with those based on CNDO/2 calculations. 

The typical results of the wide-angle light-scattering (WALS) analysis on the latex particles that were presumed to be cores are given in Table I where the theoretical model to be fitted was either S = sphere or CS = core-shell, the variance measured the goodness of fit, the modal size parameter is given by aM = 27rr/A, aQ is the log normal breadth parameter, DM is the core diameter in ym, mi the relative refractive index of the core and m2 the relative refractive index of the shell of indicated thickness. 

The transport parameters are summarized in Table 4.3 along with the indexes of goodness of fit. 

An index of the goodness of fit was developed for this procedure, which requires minimization of the value ... 

The goodness of fit of the partial ranking model calculated by the similarity index is lower than that calculated by T(0,0) but higher than the one by T(0,1) and T(l,l), confirming that the similarity index S(E,M) is a reasonable compromise between the over optimistic and the over pessimistic evaluation provided by T(0,0), and T(0,1), T(l,l), respectively. 

Goodness-of-fit of the equations was again indexed by the multiple correlation. 

Table VI (A-D) shows the coefficients of the four sets of linear equations, one set per experiment. Next to each set of coefficients is the partial correlation which shows how much the specific odorant in the pair contributes to explaining the variability of the attribute ratings. Each equation generates a multiple correlation, as an index of goodness of fit.

AU search algorithms have a goodness-of-fit or hit quality index metric to indicate which spectrum is the best match. In a true Euchdean distance metric, where the spectra are normalized to unity, the metric wiU report a value between zero and 1, where the value of zero represents a perfect match. Commercial software will often scale or adjust this number. For example, if the Euclidean distance is subtracted from 1 and the result multiplied by 1000, a perfect match gives rise to a hit quality index of 1000, and a complete mismatch gives a score of zero. Regardless, the algorithm to compare the spectra is virtually identical only the way the results are reported varies. 

The general equation for the gel effect index, equation (la) which incorporates chain transfer, was used in those cases where there was not a good agreement between model predictions and experimental data. The same values of and (derived from the values of and C2 found at high rates) were used in the integration of equation (1) and the value of the constant of chain transfer to monomer, C, was taken as an adjustable parameter and used to minimize tfie error of fitting the time-conversion data by the model. 

The fitting procedure is normally carried out consecutively, that is, shells are added to the fitting process as seems appropriate. Every shell should be checked for statistical significance, that is, if the addition of, normally, three parameters (o, R,N) is statistically viable. The check can be made by comparison of the change in the Fit index with F-test values, as outlined in ref. [12]. The oscillations are often very broad and with few features for oxides. In this case good statistical parameters are especially important. 

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