### Table 1. The Calculated Results for Analyzed Data-Set

2000

"... In PAGE 9: ... In order to have easy interpretable models, we have fixed the maximal number of terms in the equation to be equal to 8 and the maximum degree of polynoms to be equal to 3. The calculations performed using the select params option of the ANALYSIS are summarized in Table1 . The number of stored models was 3.... In PAGE 9: ... It was shown that the use of significant variables, as detected by MUSEUM, = improved PLS results (compare data in column 7 vs. column 6 in Table1 ). The similar tendency was also observed if only variables found to be relevant by the PNN algorithm were used in the cross-validation calculations (compare the last and 7 columns of Table 1).... In PAGE 12: ... b Number of significant PLS components. c The cross-validated q2 calculated using input variables optimized by MUSEUM approach (unless not stated otherwise the PLS results are from Table1 and 15 of (2)). d Number of input variables selected by PNN.... ..."

Cited by 2

### Table 2. Parameter estimates for the fixed-site carrier model of 3OMG transport

"... In PAGE 15: ... Carrier model parameters of 3-O-methyl-D-glucose transport. Simultaneous estimation of the cooperativity ( ), trans-stimulation ( ) and asymmetry ( ) factors was accomplished by fitting the fixed-site carrier model to the set of data from all incubations for each cow ( Table2 ). Estimates of , and were associated with errors ranging from 0.... In PAGE 18: ...oncentration of 0.14 mM and Rigout et al. (33) found 0.5 mM. The apparent Km for net sugar entry, calculated as + + = K P K P K K app m ] [ 1 ] [ 1 ) ( (derived as eqn A15 in the appendix) using the mean fitted values of K, and from Table2 is 8.32 mM and 8.... ..."

### Table 4: Non-linear Test Results

2007

"... In PAGE 12: ... However, for all models, in both time periods, the np test suggests that there is no cointegration, while the kpss test suggests that there is. Table4 presents the results of the various random field based tests for nonlin- earity. For the first time period, 1959-1972, the tests nearly always reject the null hypothesis of linearity.... In PAGE 13: ...odels. The results are interesting and need careful interpretation. The most ob- vious result is that in the second period, it proved impossible to get the numerical optimisation algorithms to converge for Model 1 when no trend was present, and for Model 2 when a trend was present. It is for these two models that the tests for nonlinearity, reported in Table4 , often fail to reject the null hypothesis of linearity. Also, from Table 3, it is the no-trend version of Model 1 that is more likely to be a cointegrating relationship, according to the results of the adf test.... ..."

### Table 3: High School Non-linear Production Function

in Enhancing our Understanding of the Complexities of Education: "Knowledge Extraction from Data" using

"... In PAGE 18: ... The parsimonious polynomial models paint a somewhat different picture of the predictors of performance for Vermont schools. Table3 displays the significant predictors of SAT performance. While it too selected parent level of education and school size as significant, the shape of the relationship is changed to a third order polynomial for school size.... ..."

### Table 3. Inference results for the switching Vasicek, CEV and CAV models with a non-linear drift

"... In PAGE 9: ...We finally give inference results in Table3 for the non-linear drift function case. For the switching Vasicek model, the change of regime occurs first for the volatility (a42 a6a8a215 a41 a62 a49 a9a7a2 a157a83a68 a157 a25 ) and then for the drift (a42 a6a8a215 a38 a62 a49 a9a7a2a72a21a23a45a165a68 a147a12a120 ).... ..."

### Table 3. Comparison of models for the non-linear function approximation.

2003

"... In PAGE 7: ...and validation data set, respectively. Table3 contains comparison results of di erent models for the static function approximation and provides, in addition, re- sults achieved with the neural tree model developed in this paper. It is obvious that the proposed neural tree model worked well for generating an approxi- mating model of the static non-linear system.... ..."

### Table 3 Comparison of model performance for the non-linear function approximation

2003

"... In PAGE 14: ... 10(d)) by using both rule elimination and rule combination approaches presented in Section 4. The performance of the simpliFFed models and the comparison with models developed in [4,8,17] are displayed in Table3 . It can be seen that the proposed fuzzy models not only improved its interpretability but also increased the model accuracy.... ..."

### Table 4: Elementary School Non-Linear Production Function

in Enhancing our Understanding of the Complexities of Education: "Knowledge Extraction from Data" using

### Table 12. Non-linear multi-factor models performance

2004