The Fractional Factorial Design in Latin Sqauare Designs and in Crossover Designs

碩士 === 高雄師範大學 === 數學研究所 === 99 === We arrange the treatment combinations of the 2k−l design into a Graeco-Latin square and estimate the corresponding eﬀects. The idea is useful for the large factors in an experiment. Actually, the fractional factorial design associated with the Graeco-Latin square m...

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Main Authors:	Yuan-Chih Lu, 盧淵智
Other Authors:	Pi-Hsiang Huang
Format:	Others
Language:	en_US
Published:	2011
Online Access:	http://ndltd.ncl.edu.tw/handle/95415159895711451071

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spelling	ndltd-TW-099NKNU54790212015-10-13T20:13:38Z http://ndltd.ncl.edu.tw/handle/95415159895711451071 The Fractional Factorial Design in Latin Sqauare Designs and in Crossover Designs 部分因子設計在拉丁矩陣與交叉設計上 Yuan-Chih Lu 盧淵智碩士高雄師範大學數學研究所 99 We arrange the treatment combinations of the 2k−l design into a Graeco-Latin square and estimate the corresponding eﬀects. The idea is useful for the large factors in an experiment. Actually, the fractional factorial design associated with the Graeco-Latin square may decrease the number of observations. That is, the design is more economical. After introducing the Graeco-Latin square, we show the Crossover design. In this article, we use the fold-over technique to construct a crossover design with two rows, and then arrange the treatment combinations into these replicated 2 × 2 Latin squares properly. The designs not only estimate the eﬀects but also reduce the inﬂuence of residual eﬀect. Finally, we make a regression analysis and display the factor eﬀects by the corresponding regression coeﬃcients. Pi-Hsiang Huang 黃必祥教授 2011 學位論文 ; thesis 34 en_US
collection	NDLTD
language	en_US
format	Others
sources	NDLTD
description	碩士 === 高雄師範大學 === 數學研究所 === 99 === We arrange the treatment combinations of the 2k−l design into a Graeco-Latin square and estimate the corresponding eﬀects. The idea is useful for the large factors in an experiment. Actually, the fractional factorial design associated with the Graeco-Latin square may decrease the number of observations. That is, the design is more economical. After introducing the Graeco-Latin square, we show the Crossover design. In this article, we use the fold-over technique to construct a crossover design with two rows, and then arrange the treatment combinations into these replicated 2 × 2 Latin squares properly. The designs not only estimate the eﬀects but also reduce the inﬂuence of residual eﬀect. Finally, we make a regression analysis and display the factor eﬀects by the corresponding regression coeﬃcients.
author2	Pi-Hsiang Huang
author_facet	Pi-Hsiang Huang Yuan-Chih Lu 盧淵智
author	Yuan-Chih Lu 盧淵智
spellingShingle	Yuan-Chih Lu 盧淵智 The Fractional Factorial Design in Latin Sqauare Designs and in Crossover Designs
author_sort	Yuan-Chih Lu
title	The Fractional Factorial Design in Latin Sqauare Designs and in Crossover Designs
title_short	The Fractional Factorial Design in Latin Sqauare Designs and in Crossover Designs
title_full	The Fractional Factorial Design in Latin Sqauare Designs and in Crossover Designs
title_fullStr	The Fractional Factorial Design in Latin Sqauare Designs and in Crossover Designs
title_full_unstemmed	The Fractional Factorial Design in Latin Sqauare Designs and in Crossover Designs
title_sort	fractional factorial design in latin sqauare designs and in crossover designs
publishDate	2011
url	http://ndltd.ncl.edu.tw/handle/95415159895711451071
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The Fractional Factorial Design in Latin Sqauare Designs and in Crossover Designs

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