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Compared with conventional methods, multivariate approaches based on DOE allow studying all possible interactions between experimental variables and can significantly reduce the experimental effort needed to investigate the experimental factors and their interactions.
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Also, pyrolysis and atomization temperatures and the amount of nitric acid added to the sample were optimized using a multivariate approach based on Doehlert matrix.
Multiple factorial ANOVAs were conducted rather than a multivariate approach based on the study's premise that more narrowly conserved facets of impulsivity would be more sensitive to allelic variation.
The last step is to choose a set of multivariate modeling approaches based on the results of the exploratory data analysis and investigate whether including explanatory variables and models that are more complex can improve the accuracy of the forecast.
These results show that multivariate statistical approach, based on H NMR metabolite profiling, is a powerful tool for detecting ongoing differences in VH composition and may be applied to investigate several physiological and pathological conditions.
In this study, to estimate functional diversity we use approaches based on multivariate methods: a) functional richness, measured as the total length of the branches in a functional dendrogram [8], as an analog for the measure of phylogenetic diversity proposed by Faith [12].
In this study, a multisite multivariate statistical downscaling approach based on the Generalized Linear Model (GLM) framework is developed to downscale daily observations of precipitation and minimum and maximum temperatures from 120 sites located across the Canadian Prairie Provinces: Alberta, Saskatchewan and Manitoba.
The age-prediction model was generated with a multivariate linear model approach based on the genetic algorithm implemented in the R package "genalg" [ 31].
Hannum et al. used a multivariate linear model approach based on the Elastic Net algorithm and identified a nucleus of 89 CpG probes whose methylation is associated to age, while Heyn et al selected 3205 age-associated CpG probes that resulted significant after ANOVA test (q-value < 0.01) and that showed a difference in average beta-values between newborns and nonagenarians greater than 0.20.
Note that further methods could have been considered, such as the "traditional" Golub criterion or more sophisticated multivariate approaches, e.g. based on random forests [ 24].
A heuristic approach based on multivariate linear regression was adopted to improve the estimation.
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