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The approach supports an engineer in understanding the functional relationships between the individual parameters of the system in an early phase of product development.
The correlation between the individual parameters was categorized into three groups: "strong correlation" for correlation coefficients (r) between 0.68 and 1; "modest" or "moderate correlation" for r between 0.36 and 0.67; and no correlation for r ≤ 0.35 (Taylor 1990).
For this purpose, a probabilistic homogenization procedure is adopted for the prediction of all elastic constants together with their probability distributions as well as all spatial correlations and interrelations between the individual parameters.
Fisher's transformation was used to find statistically significant correlations between the individual parameters.
The larger clusters are harder to explain as there are more differences between the individual parameters.
The individual parameters of the ith individual deviate from the population fixed effects θ with the random effects η i (η ∼ N 0, Ω)), where θ and η i are vectors of size s and Ω is the s × s covariance matrix describing the correlations between the individual parameters.
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A value of 0.5 indicates no relationship between the individual parameter and the reaction to the item.
The P values for the statistical analysis between both groups for the individual parameters of the clinical TMD examination and orthopaedic tests can be found in Table 5.
Such reciprocal relations between the group and the individual parameters result in more complete and accurate predictions that can be applied both to particular individuals and to the population (Rouder & Lu, 2005).
Note that β ≈ 1, and s < 1 for averaged values, and Prelec's model significantly better fit individual data than Simple hyperbola (p < 0.01, N = 20) Finally, we examined the correlation between the individuals' parameters for each probabilistic choice model and AUCs (Fig. 2).
To determine these quantities the conservation equations are combined with the constitutive equations which describe the correlations between parameters relating to motion and kinetics on the one hand and between the individual thermodynamic parameters on the other hand.
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between the individual factors
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