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Academic literature on the topic 'Asymmetrical fractional factorials'

Author: Grafiati
Published: 8 September 2023

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Journal articles on the topic "Asymmetrical fractional factorials"

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Wang, Kang, Zujun Ou, Hong Qin, and Na Zou. "Projection Uniformity of Asymmetric Fractional Factorials." Axioms 11, no. 12 (December 10, 2022): 716. http://dx.doi.org/10.3390/axioms11120716.

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The objective of this paper is to study the issue of the projection uniformity of asymmetric fractional factorials. On the basis of level permutation and mixture discrepancy, the average projection mixture discrepancy to measure the uniformity for low-dimensional projection designs is defined, the uniformity pattern and minimum projection uniformity criterion are presented for evaluating and comparing any asymmetric factorials. Moreover, lower bounds to uniformity pattern have been obtained, and some illustrative examples are also provided.
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Qin, Hong, Zhenghong Wang, and Kashinath Chatterjee. "Uniformity Pattern of Asymmetric Fractional Factorials." Journal of Systems Science and Complexity 29, no. 2 (August 29, 2015): 499–510. http://dx.doi.org/10.1007/s11424-015-4028-x.

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Kashinath, Chatterjee, Gou Tingxun, and Qin Hong. "Optimal additions to asymmetrical fractional factorial designs under Lee discrepancy." SCIENTIA SINICA Mathematica 50, no. 5 (April 29, 2020): 599. http://dx.doi.org/10.1360/n012019-00095.

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Qin, Hong, and Kashinath Chatterjee. "Lower Bounds for the Uniformity Pattern of Asymmetric Fractional Factorials." Communications in Statistics - Theory and Methods 38, no. 9 (April 28, 2009): 1383–92. http://dx.doi.org/10.1080/03610920802439161.

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Ai, Ming-Yao, and Run-Chu Zhang. "Projection justification of generalized minimum aberration for asymmetrical fractional factorial designs." Metrika 60, no. 3 (November 2004): 279–85. http://dx.doi.org/10.1007/s001840300310.

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Das, Ashish, Aloke Dey, and Paramita Saha. "Small asymmetric fractional factorial plans for main effects and specified two-factor interactions." Metrika 62, no. 1 (September 2005): 33–52. http://dx.doi.org/10.1007/s001840400353.

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Hund, E., Y. Vander Heyden, M. Haustein, D. L. Massart, and J. Smeyers-Verbeke. "Robustness testing of a reversed-phase high-performance liquid chromatographic assay: comparison of fractional and asymmetrical factorial designs." Journal of Chromatography A 874, no. 2 (April 2000): 167–85. http://dx.doi.org/10.1016/s0021-9673(00)00081-9.

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Bureika, G., and R. Subačius. "MATEMATICAL MODEL OF DYNAMIC INTERACTION BETWEEN WHEEL-SET AND RAIL TRACK." Science and Transport Progress, no. 8 (September 25, 2005): 39–44. http://dx.doi.org/10.15802/stp2005/20105.

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The main goal of this paper is to show how the effects of maximum bending tensions at different locations in the track caused by simultaneous changes of various parameters can be estimated in a rational manner. The dynamics of the vertical interaction between a moving rigid wheel and a flexible railway track is investigated. An asymmetric linear three-dimensional beam structure model of a finite length of the track is suggested. The influence of eight selected track parameters on the dynamic behaviour of the track is investigated. A two-level fractional factorial design method is used in the search for the combination of numerical values of these parameters minimizing themaximum bending tensions.
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MAINARDI, Pedro Henrique, and Ederio Dino BIDOIA. "FUNDAMENTAL CONCEPTS AND RECENT APPLICATIONS OF FACTORIAL STATISTICAL DESIGNS." Brazilian Journal of Biometrics 40, no. 1 (March 4, 2022). http://dx.doi.org/10.28951/bjb.v40i1.552.

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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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Book chapters on the topic "Asymmetrical fractional factorials"

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Kantamneni, S. Prasad, and Charles F. Hofacker. "Building Fractional Factorials: a Methodology for Symmetric and Asymmetric Designs." In Proceedings of the 1993 Academy of Marketing Science (AMS) Annual Conference, 345–49. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-13159-7_79.

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