Run Orders of Central Composite Designs with Correlated Observations and Block Structure
碩士 === 國立高雄大學 === 統計學研究所 === 97 === In this thesis, we are interested in finding the run orders of central composite designs for rotatability with correlated structures. Based on the rotatable conditions in Das (1997), run order of central composite design is studied for two different inter-class co...
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| Format: | Others |
| Language: | en_US |
| Published: |
2009
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| Online Access: | http://ndltd.ncl.edu.tw/handle/4c94k7 |
| Summary: | 碩士 === 國立高雄大學 === 統計學研究所 === 97 === In this thesis, we are interested in finding the run orders
of central composite designs for rotatability with correlated
structures. Based on the rotatable conditions in Das (1997), run
order of central composite design is studied for two different inter-class correlated structures. Given a central composite design that contains 2^k full factorial design; 2^(k-1)+k+2 center points and 2k star points with alpha=2^(k/4), the rotatable run order are determined. Then for any central composite design, we transform the rotatable run order problem as an maximization problem
according to the rotatable measure proposed by Das (1999). To solve this maximization problem, a simulate annealing algorithm in Zhou (2001) is modified for searching the corresponding optimal run order.(2001) is modified for searching the corresponding optimal run order.
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