464 research outputs found

    A-optimal designs for an additive quadratic mixture model

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    Quadratic models are widely used in the analysis of experiments involving mixtures. This paper gives A-optimal designs for an additive quadratic mixture model for q ≥ 3 mixture components. It is proved that in these A-optimal designs, vertices of the simplex S q-1 are support points, and other support points shift gradually from barycentres of depth 1 to barycentres of depth 3 as q increases. A-optimal designs with minimal support are also discussed.published_or_final_versio

    Optimal designs for an additive quadratic mixture model involving the amount of mixture

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    This paper is concerned with D- and A-optimal designs for a quadratic additive model for experiments with mixtures, in which the response depends not only on the relative proportions but also on the actual amounts of the mixture components. It is found that the origin and vertices of the simplex are support points of these optimal designs, and when the number of mixture components increases, other support points shift gradually from barycentres of depth 1 to barycentres of higher depths. It is shown that the D-optimal designs have high efficiency in terms of A-optimality, and vice versa.published_or_final_versio

    A Mobile App Platform for Discovering Learning Profiles and Analytics

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    Paternal smoking and maternal protective behaviors at home on infant’s saliva cotinine levels

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    BackgroundWe investigated the association between paternal smoking, avoidance behaviors and maternal protective actions and smoke-free home rules with infant's saliva cotinine in Hong Kong.MethodsSix hundred and seventy-five non-smoking mothers (mean age 32.6 years) who attended the maternal-child health clinics with their newborns aged ≤18 months completed a questionnaire about paternal smoking and avoidance behaviors, maternal protective actions, smoke-free rules at home, and infant's second-hand smoke (SHS) exposure. Three hundred and eighty-nine infants provided saliva sample and its cotinine was tested.ResultsThe geometric mean of infant's saliva cotinine was 1.07 ng/ml (95% confidence interval (CI): 0.98, 1.16). Infants living in smoking families with SHS exposure had significantly higher cotinine level than in non-smoking families (adjusted β=0.25, 95% CI: 0.16, 0.33). Paternal smoking near infants (within 1.5 m) was associated with higher cotinine level (adjusted β=0.60, 95% CI: 0.22, 0.98), which was not reduced by avoidance behaviors (e.g., smoking in kitchen or balcony). Even fathers smoking ≥3 m away from infants was associated with higher cotinine level than non-smoking families (adjusted β=0. 09, 95% CI: 0.01, 0.16). Maternal protective actions and smoke-free home rules were not significantly associated with reduced cotinine level.ConclusionPaternal smoking avoidance, maternal protective actions, and smoke-free policy at home did not reduce infant's saliva cotinine.Pediatric Research advance online publication, 13 December 2017; doi:10.1038/pr.2017.279
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