Trend-resistant and cost-efficient cross-over designs for mixed models

Tack, Lieven; Vandebroek, Martina

doi:10.1016/j.csda.2003.09.012

Cited by 5 publications

(3 citation statements)

References 37 publications

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“…The use of factorial designs has been gaining increasingly importance in costs analyses, also referred as economic evaluations. Those designs have mainly focused in the development of cost-efficient processes and products by using particular criteria, like the expenditures related to specific raw materials, machinery settings, technology employed, fabrication or assembly methods (ASKIN and GOLDBERG, 1988;TACK and VANDEBROEK, 2004). Along that, cost related statistical designs have also aimed at meeting all the product or process functional requirements, obtain the highest possible quality, as well to reduce the environmental negative impacts (SIVAKUMAR et al, 2008;LABIDI et al, 2021).…”

Section: Cost Analysesmentioning

confidence: 99%

Fundamental Concepts and Recent Applications of Factorial Statistical Designs

Mainardi

Bidóia

2022

Braz. Jour. Biom.

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Factorial designs have been increasingly used in scientific investigations and technological development. The designs, through the use of matrices with all the treatment combinations, have been capable to effectively characterize the relationships between the variables of multi-factor experiments, assess the experimental variabilities, and derive mathematical functions that represent the behavior of the responses. Factorial designs were fractionalized, which substantially reduced the number of treatments without the loss of relevant information. The addition of central and star points to the factorial arrays has given them the orthogonality and rotatability characteristics, frequently used to fit models with curvature and identify critical regions of interest. Literature reports indicated that factorial designs, also called factorial experiments, were successfully applied in different types of investigations, including in cost evaluations and time-series studies. They were capable to estimate important features of the experiments, like the individual and combined effects of factors, the magnitude of residuals, additionally to express the relationships of the variables in polynomial equations, draw response surface and contour plots, and determine optimal combinations of parameters. In this review, the fundamental aspects of the Complete, Fractional, Central Composite Rotational and Asymmetrical factorial designs were conceptualized, and recent applications of these powerful tools were described.

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Section: Cost Analysesmentioning

confidence: 99%

Fundamental Concepts and Recent Applications of Factorial Statistical Designs

Mainardi

Bidóia

2022

Braz. Jour. Biom.

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“…The so-called D-efficiency used by Atkinson (1996), Tack & Vandebroek (2004), Atkinson et al (2007), Triefenbach (2008) and Alonso et al (2011) and the ideal is that eff D s equals to 1. As for the minimization of possible linear trend effects, conventional approaches say that the sequence of the experiments should be randomly produced.…”

Section: Two-level Factorial Experimental Designs In the Presence Of mentioning

confidence: 99%

“…Subsequently, Cheng & Jacroux (1988) generalize the scheme by minimizing the biases in the estimates of the main effects as well as in the estimates of double interactions in 2 k experiments. Tack & Vandebroek (2004) innovated the research in the field when they simultaneously studied the robustness and cost of two-factorial orthogonal and semi-orthogonal experiments. Angelopoulos et al (2009), in turn, suggested a constructive procedure, which produces two-factorial orthogonal designs of minimum cost, with maximum D-efficiency, and that are robust to linear trend effects.…”

Section: Two-level Factorial Experimental Designs In the Presence Of mentioning

confidence: 99%

Sequenciamento sistemático de experimentos fatoriais como alternativa à ordem aleatória

2017

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Resumo: Este trabalho tem como objetivo principal discutir o uso de métodos sistemáticos para geração de designs de experimentos com boas propriedades estatísticas e custos baixos. O foco da pesquisa é o sequenciamento dos Abstract:The current study aims to discuss the use of systematic methods to generate experimental designs with good statistical properties and low costs. The research focuses on the sequence of experiments and on analysis the results of three different approaches used to build (orthogonal and non-orthogonal) two-level factorial designs, wherein sequencing is randomly or systematically performed. The study simulated the design generated by each approach in the context of an actual glass container manufacturing process, with and without the presence of linear trend effects. The results indicate that, in comparison to the random order, systematic sequences may lead to fewer factor level changes and to increased robustness to linear trend effects. Therefore, they may attach design cost and quality.

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Designing experiments in cycles

Donev

Sammut‐Powell

2019

Chemometrics and Intelligent Laboratory Systems

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Experimental observations are frequently collected sequentially, allowing for lurking variables to affect the response and cause a trend in the results. Often the order in which the observations are collected is randomised to minimise the impact. However, when information about the behaviour of the trends has been found in previous experiments, it is possible to use this knowledge to obtain better designs that ensure that the studied relationship and the effect of the trend are estimated accurately. We consider cases where the cyclic nature of the experiments allows for obtaining such information prior to the main study. We propose a general methodology for designing such experiments, based on the framework of generalised linear models. The proposed methodology considers a larger class of problems than previously researched, allowing for the effect of a time trend on both the mean and variance of the response.

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Trend-resistant and cost-efficient cross-over designs for mixed models

Cited by 5 publications

References 37 publications

Fundamental Concepts and Recent Applications of Factorial Statistical Designs

Fundamental Concepts and Recent Applications of Factorial Statistical Designs

Sequenciamento sistemático de experimentos fatoriais como alternativa à ordem aleatória

Designing experiments in cycles

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