A Property of Well-Formulated Polynomial Regression Models

Peixoto, Julio L.

doi:10.1080/00031305.1990.10475687

Cited by 97 publications

(59 citation statements)

References 7 publications

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“…For example, if we select the interaction (TV) for 1/DR model without selecting the main effect ''parent" of the interaction, such as T, the resulting model would not be hierarchical. A well-formulated model must include all main effects present in the interactions (Nelder, 1998;Peixoto, 1990). In order to model as fitted for 1/ DR will be hierarchical, it includes the main effect of temperature and velocity.…”

Section: Fitting Modelmentioning

confidence: 99%

Optimization of a thin layer drying process for coroba slices

Corzo

Bracho

Vásquez

et al. 2008

Journal of Food Engineering

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Section: Fitting Modelmentioning

confidence: 99%

Optimization of a thin layer drying process for coroba slices

Corzo

Bracho

Vásquez

et al. 2008

Journal of Food Engineering

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“…For example, if we select the interaction (AB) for DM model without selecting the main effect ''parent'' of the interaction, such as B, the resulting model would not be hierarchical. A wellformulated model must include all main effects present in the interactions (Nelder, 1998;Peixoto, 1990). In order to models as fitted for DM and DM w will be hierarchical, they include the main effect of concentration.…”

Section: Fitting Modelsmentioning

confidence: 99%

Optimization of osmotic dehydration of cantaloupe using desired function methodology

Corzo

Gomez

2004

Journal of Food Engineering

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“…A summary of the ANOVA data, model diagnostics and coded regression coefficients is presented in Tables 1 and 2. Attempts at model reduction by backward elimination (Nelder 1998;Peixoto 1990) resulted in extremely minor improvements in the model diagnostics for μ, F v /F m , Chl a and Chl b. Therefore, no model reductions were used for these responses and all model terms were included in the ANOVA analyses.…”

Section: Resultsmentioning

confidence: 99%

Temperature and irradiance impacts on the growth, pigmentation and photosystem II quantum yields of Haematococcus pluvialis (Chlorophyceae)

2007

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The microalga Haematococcus pluvialis Flotow has been the subject of a number of studies concerned with maximizing astaxanthin production for use in animal feeds and for human consumption. Several of these studies have specifically attempted to ascertain the optimal temperature and irradiance combination for growth of H. pluvialis, but there has been a great deal of disagreement between laboratories. "Ideal" levels of temperature and irradiance have been reported to range from 14 to 28°C and 30 to 200 μmol photons m −2 s −1 . The objective of the present study was to simultaneously explore temperature and irradiance effects for a single strain of H. pluvialis (UTEX 2505) across an experimental region that encompassed the reported "optimal" combinations of these factors for multiple strains. To this end, a two-dimensional experimental design based on response surface methodology (RSM) was created. Maximum growth rates for UTEX 2505 were achieved at 27°C and 260 μmol photons m −2 s −1 , while maximum quantum yield for stable charge separation at PSII (F v /F m ) was achieved at 27°C and 80 μmol photons m −2 s −1 . Maximum pigment concentrations correlated closely with maximum F v /F m . Numeric optimization of growth rate and F v /F m produced an optimal combination of 27°C and 250 μmol photons m −2 s −1 . Polynomial models of the various response surfaces were validated with multiple points and were found to be very useful for predicting several H. pluvialis UTEX 2505 responses across the entire two-dimensional experimental design space.

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A Property of Well-Formulated Polynomial Regression Models

Cited by 97 publications

References 7 publications

Optimization of a thin layer drying process for coroba slices

Optimization of a thin layer drying process for coroba slices

Optimization of osmotic dehydration of cantaloupe using desired function methodology

Temperature and irradiance impacts on the growth, pigmentation and photosystem II quantum yields of Haematococcus pluvialis (Chlorophyceae)

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