Optimal Row-Column Design for Comparing Row Effects and Column Effects
碩士 === 國立政治大學 === 統計研究所 === 85 === We consider the problem of comparing row effects and column effects in the row-column design setup when the row sizes and column sizes are all multiples of the number of treatments. Following the work of Shah and Sinha (1993), we derive a sufficient condition...
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| Format: | Others |
| Language: | en_US |
| Published: |
1997
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| Online Access: | http://ndltd.ncl.edu.tw/handle/66294673578366258164 |
| Summary: | 碩士 === 國立政治大學 === 統計研究所 === 85 ===
We consider the problem of comparing row effects and column effects in the row-column design setup when the row sizes and column sizes are all multiples of the number of treatments. Following the work of Shah and Sinha (1993), we derive a sufficient condition for uniformly optimal designs for given values of the row sizes and column sizes. We also derive a sufficient condition for universally optimal designs when the total number of experimental units is fixed. Several examples of designs with high efficiencies are provided.
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