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The observed outcome of farmers' adoption decision can be modeled using random utility formulation.
The variability of fatigue crack initiation and propagation can be modeled using random fields.
Correlations among measurements made on the same subject, were planned to be modeled using random effects and random regression coefficients, and through the specification of a covariance structure.
Scalar values can be modeled using random variables (RVs), e.g. static load; time variant quantities can be represented using stochastic processes, e.g., wind speed or earthquake excitation; space variant quantities can be described using random fields, e.g. material properties in a solid.
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The spatial variability in the undrained shear strength and the friction angle is modeled using random field theory.
The coefficients of Eq. 7 are modeled using random fields.
The uncertainties inherent to the fatigue process are assumed to be caused by the variability of the material properties, which are modeled using random fields.
Random effects were modeled using random slopes and random intercepts for the crossed grouping variables "subject" and "activity," to assess whether and how the regressions linking Fmed and EAM varied across subjects.
Odds for reporting delirium at follow-up (outcome) were modeled using random-effects logistic regression, adjusting for age, sex, and co-morbidity score based on the Charlson Index.
Odds for reporting delirium at follow-up (outcome) were modeled using random-effects logistic regression, where prior cognitive impairment measured by Mini-Mental State Exam (MMSE) (exposure) was considered.
The clay has been idealised as a linear elastic, perfectly plastic Von Mises material and its spatial variability has been modelled using random field theory, whereas slope performance has been computed using a parallel 3D finite element program.
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