### 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.... ..."

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### Table 1. Assessment of Manufacturing Alternatives for Integral Metallic Fuselage Structure

"... In PAGE 15: ...2.1 Applicable Manufacturing Processes A matrix of possible manufacturing processes/scenarios is shown in Table1 . The table illustrates how applicable processes are to some degree driven by the design configuration and raw material product form.... In PAGE 18: ... Laser welding was considered a backup technology, but also had the advantage of a higher weld velocity, though limited with regard to material type and weld quality in aluminum alloys. Based on the above discussion, the Table1 process sequences 3 and 11 were chosen for test specimen fabrication (though conventional machining could be substituted for high speed machining as required), preferably using materials which would support age-creep forming (sequences 5 and 13) and to a lesser extent laser welding. Thus, the test data could potentially apply to any of the... In PAGE 88: ... Correlation was somewhat worse for the T-L case, possibly because the stress intensity for growth was getting high enough that the T-stress had an effect which was not modeled since we assumed rc=0 for fatigue crack growth. Estimating Kmax from the da/dN data in Table1 1, it would appear that starting at a crack tip coordinate of x=5.8, the value of rc based on Equation (5.... In PAGE 92: ... A FRANC2D model was provided for analysis of the test specimens. A summary of the test data is included here for completeness in Table1 4, and correlation with a the linear elastic analysis in Figure 51. 0 5 10 15 20 25 30 0.... ..."

### Table 5. Structural Equations for the Bone Geometry Model

2006

"... In PAGE 8: ... We employed an additive genetic model in the SEM because all QTL effects showed intralocus additivity. We developed an initial SEM (Figure 7 and Table5 ) following the steps of model formulation, assessment, and refinement described in Materials and Methods. In order to resolve the causal relationships among the three phenotypes, we exam- ined the complete set of 11 models listed in Figure 8.... In PAGE 8: ... The graphical SEM is shown in Figure 7. Path coefficients and t-statistics are summarized in Table5 . The model explains 67.... In PAGE 9: ... Structural Equation Model for Bone Geometry Genetic effects have been grouped. Sign and magnitude of path coefficients can be found in Table5 . Group Q1 includes loci with effects that are specific to PCIR (Q4@66, Q5@84, Q6@32, Q7@50, and Q11@68).... ..."

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### Table 2 provides fit measures for the structural equations that test the path influences in the empirical research model. Although the chi-square analysis in

"... In PAGE 4: ... The GLS method of parameter estimation does not assume normality for variable distributions. Table2 : Fit measures for the a priori structural models. Recommended Fit Values Measures Chi-Square p gt; 0.... In PAGE 4: ...Table 2 provides fit measures for the structural equations that test the path influences in the empirical research model. Although the chi-square analysis in Table2 indicates a lack of fit, the value of chi-square divided by degrees of freedom is approximately 2.1, which is less than cutoff value of 5.... In PAGE 5: ...Table2 reflect an acceptable structural model fit. Measurement model results are presented in table form (see Table 3) and graphically (see Figure 3).... ..."

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

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

### Table 1. Partial ignorance models.

1996

"... In PAGE 13: ... It surely contradicts the idea that an agent has always a belief about every event. The above review, also pictured in Table1 , covers most of the non-additive probability models available to-date. Especially, second order probabilities appear to formally contrast with these models since they are probability structures on top of probability structures (see Table 1).... ..."

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### Table 8 - R 2 statistics for structural equations

1998

"... In PAGE 25: ... Estimated correlations among the remaining independent variables (Table 7) are similar to those in the theoretical model. Considerable improvement for R 2 ( Table8 ) is achieved for structural equations for playfulness, focused attention, arousal, and time distortion. Assessment of the measurement model.... ..."

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### Table 8: Factors that affect the Speedup equation (ignoring cycle time). First two columns are in millions of operations.

"... In PAGE 21: ... Since all this study has been focused on a comparison of the first two factors, we will assume that both machines have the same cycle time (and, therefore, we eliminate it from the equation). Table8 presents the necessary data to compute all the terms in equation (2). Columns two and three are the number of operations (instructions) executed by each model in millions.... ..."

### Table 9: Factors that affect the Speedup equation (ignoring cycle time). First two columns are in millions of operations.

"... In PAGE 26: ... Since all this study has been focused on a comparison of the first two factors, we will assume that both machines have the same cycle time (and, therefore, we eliminate it from the equation). Table9 presents the necessary data to compute all the terms in equation (2). Columns two and three are the number of operations (instructions) executed by each model in millions.... ..."

### Table 2 Nonlinear models.

1998

"... In PAGE 16: ... Much of the emphasis will be on the choice of bandwidth and the new aspects brought in by using local polynomial approximation. A power experiment on a wide class of nonlinear models listed in Table2 has been conducted in Section 6.3.... In PAGE 18: ...Table2 , however, where M1(x) is approximately quadratic (see Figure 1), as can be expected the best result is achieved with T = 2 and h = 1. For the ^ L(V1)-tests the size tends to be too low.... In PAGE 18: ... If no corrections are made for this e ect, it will lead to conservative tests. Figure 5 shows the power of the ^ L(V )-tests for model la) of Table2 , and we see the same general trend as for the ^ L(M)-tests; the optimal h increases with T and the derivative. Here ^ L1(V1) also has some power for h = 1 because the variance is constant, not only linear, under the null hypothesis.... In PAGE 18: ... Here ^ L1(V1) also has some power for h = 1 because the variance is constant, not only linear, under the null hypothesis. ^ L0(V1) is much more robust than ^ L0(M1), and this is the case for the other models listed in Table2 as well. 6.... In PAGE 18: ... In particular when we have a nonlinear model, we do of course not want h = 1 to be chosen when T = 0 or T = 1, but with a small autocorrelation, this may well happen for T = 0. In fact h = 1 was chosen in 136 of 500 realizations of model lc) of Table2 which is clearly nonlinear (cf. Figure 1).... In PAGE 19: ... 6.3 A power experiment for a wide set of models We have performed a power experiment for the models listed in Table2 , where t N(0; 0:62) in model ld) - lf), t N(0; 0:72) in lg) - lj) and t N(0; 1) in the other models. Models la) - lj), aa) - ag) and Aa) - Ag) are discussed in Luukkonen et al.... In PAGE 36: ...Figure 1-2: Plots of ^ M1(x) (Figure 1) and ^ V1(e) (Figure 2) for the models listed in Table2 with n = 100 000. The kernel estimator with bandwidth h = 0:2 is used and each plot consists of two realizations.... In PAGE 36: ... The possible values for h is given at the vertical axes. Figure 7: The gure is based on 500 realizations of the models in Table2 . It shows the power of ^ LT (M1) with h cross-validated and n = 100, 250 and 204 for models la) - li), aa) - ag) and Aa) - Ag), respectively.... In PAGE 36: ...ower achieved in Hjellvik and Tj stheim (1995). The nominal size is 0.05. Figure 8: The gure is based on 500 realizations of the models in Table2 and shows the power of ^ LT (V1) with h cross-validated and n = 100, 250 and 204 for models la), aa) - ag) and Aa) - Ag), respectively.... In PAGE 37: ....05 for the standard normal distribution has been used. The model is Xt = t, the bandwidth is h = n?1=9 and the number of realizations are 500. Table2 : Various nonlinear models. Models la) - lj), aa) - ag) and Aa) - Ag) are discussed in Luukkonen et al.... ..."

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