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The increasing trend in all the curves of Figure 1 suggests that local deviations from the global signature are better described by a multiplicative error process (instead of additive).
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A multiplicative error model is established to compute safety factors covering the model uncertainty inherent to the approach.
i.e. there is a multiplicative error term Open image in new window (as opposed to an additive error term in Eq. 4).
Consequently, an additive measurement error model for the exposures in log-molar units translates into a multiplicative error structure, in which the corresponding error term is proportional to the true exposure in molar scale.
Models generated by multiplicative error structures (i.e., log-linear models) or that satisfy the proportional hazards assumption (e.g., Cox-proportional hazards model) are the most common forms of survival models.
These models were fitted using ordinary least square regression assuming a power function with multiplicative error structure (Lai et al. 2013; Dong et al. 2016).
As a starting point, log-normally distributed interindividual random effects were introduced for all structural parameters and the residual error for observations was described by the combined additive and multiplicative error model.
Significant expression of each contig was evaluated performing a Baggerley's test [ 74], followed by a Bonferroni correction for multiplicative errors.
A linear time varying attitude deviation dynamics in the multiplicative error quaternion is inverted for the control variables using the generalized inversion-based Greville formula.
"Bonferroni test" and "BLAST hit" list p-values for multiplicative error and e-values resulting from a blast search of Iberis contigs against an Arabidopsis protein database, respectively.
Rocke and Durbin [ 52] concluded that the gene expression data measured by DNA micro-arrays or oligonucleotic arrays contains both additive and multiplicative error components.
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