Application of the split-plot experimental design for the optimization of a catalytic procedure for the determination of Cr(VI)

Reis, César; Andrade, João Carlos de; Bruns, Roy E.; Moran, Regina Celia Carvalho Pinto

doi:10.1016/s0003-2670(98)00246-3

Cited by 24 publications

(6 citation statements)

References 18 publications

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“…The method is linear to approximately 100 µg L -1 , and the detection limit is 0.4 µg L -1 . A catalytic procedure for the determination of Cr(VI), based on the oxidation of o-dianisidine with peroxide, was optimized with respect to reactants and solvent composition by using a split-plot experimental design (57). Ten mixture experiments were performed at each of the 2 3 factorial levels.…”

Section: Kinetic Methods Based On Catalytic Reactionsmentioning

confidence: 99%

Kinetic Determinations and Some Kinetic Aspects of Analytical Chemistry

2000

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Section: Kinetic Methods Based On Catalytic Reactionsmentioning

confidence: 99%

Kinetic Determinations and Some Kinetic Aspects of Analytical Chemistry

2000

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“…The hard‐to‐change factors that define the blocks are the main plots, whereas the subsets of those are the subplots. The split‐plot approach can be exploited in mixture designs submitted to different process conditions; the mixture and process variables are treated as subplots and main plots, respectively . For a design with two main plots and three subplots, the influence of these variables on an experimental response can be analyzed via multivariate regression according to a general mixed model equation presented in Eq.…”

Section: Theorymentioning

confidence: 99%

Study of the Homogeneity of Drug Loaded in Polymeric Films Using Near-Infrared Chemical Imaging and Split-Plot Design

Alexandrino

Poppi

2014

Journal of Pharmaceutical Sciences

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“…Calculations for the complete split-plot design were carried out as in earlier work, 10 using the SAS statistical package 11 and using a MATLAB-based computational program developed in the authors' laboratory. 12 Calculations for the incomplete split-plot designs, which were made by randomly deleting data from the complete data set, in order to simulate possible data set reduction procedures, were carried out using another MATLAB-based program currently under development in our laboratory.…”

Section: Calculationsmentioning

confidence: 99%

“…An early article discusses mixed process variable -mixture variable designs 9 and more recently our group carried out a complete split-plot design 10 to determine simultaneously the optimum values of the proportions of water, acetone and N,N-dimethylformamide as a reaction medium (mixture variables) and the concentrations of HCl, o-dianisidine and H 2 O 2 as reagents (process variables) for the analytical determination of Cr (VI) using the 450 nm absorption of the oxidized species of o-dianisidine as the system response.…”

Section: Introductionmentioning

confidence: 99%

Reducing the number of experiments in split-plot optimization designs

Bortoloti¹,

Andrade²,

Bruns³

2004

J. Braz. Chem. Soc.

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Dois procedimentos para a redução de experimentos para o método split-plot foram investigados usando um conjunto de dados contendo 160 experimentos, consistindo de 80 duplicatas provenientes da otimização de um sistema contendo a mistura de água-acetona-N,N-dimetilformamida e os reagentes HCl, o-dianisidina e H 2 O 2 para a determinação de Cr(VI). A estabilidade dos coeficientes do modelo e as médias quadráticas da ANOVA são usadas como critério para julgar a eficiência dos procedimentos. Somente o procedimento que evita a possibilidade de se eliminar completamente uma replicata para um dado conjunto de condições das variáveis de processo parece ser praticável, uma vez que não resulta em perda de informação fundamental da modelagem. Seus valores das médias quadráticas da ANOVA permaneceram estáveis para reduções de até 30% das replicatas enquanto seus coeficientes dos modelos foram relativamente constantes para até 70% de redução das replicatas. Tendo em vista que um planejamento split-plot completo envolvendo variáveis de processo e de mistura requer um grande número de experimentos, a economia introduzida por planejamentos split-plot incompletos faz seu uso ser muito atraente.Two experiment reduction procedures for split-plot designs are investigated using a data set containing 160 experiments, consisting of 80 duplicate results for the optimization of a wateracetone-N,N-dimethylformamide mixture with HCl, o-dianisidine and H 2 O 2 reagent system for the analytical determination of Cr(VI). Stabilities of the model coefficients and ANOVA mean squares are used as quality criteria to judge the effectiveness of the procedures. Only the procedure that avoids the possibility of eliminating entire replicates for any given set of process variable conditions seems to be feasible, since it does not result in loss of valuable modeling information. Its mean square ANOVA values remain stable for up to a 30% replicate reduction whereas its model coefficients are relatively constant for even 70 % replicate reduction. Since complete split-plot designs involving both process and mixture variables require large numbers of experiments, the economy gained by performing incomplete split-plot designs makes their use more attractive.

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Application of the split-plot experimental design for the optimization of a catalytic procedure for the determination of Cr(VI)

Cited by 24 publications

References 18 publications

Kinetic Determinations and Some Kinetic Aspects of Analytical Chemistry

Kinetic Determinations and Some Kinetic Aspects of Analytical Chemistry

Study of the Homogeneity of Drug Loaded in Polymeric Films Using Near-Infrared Chemical Imaging and Split-Plot Design

Reducing the number of experiments in split-plot optimization designs

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