TheConstructionandE-optimalityofLinearTrend-FreeBlockDesigns

• Main Author: 高建國
• Other Authors: 丁兆平
• Format: Others
• Language: en_US
• Published: 2002
• Online Access: http://ndltd.ncl.edu.tw/handle/69747613246393752280

博士 === 國立政治大學 === 統計學系 === 90 === 1995) pays attention to situations where (1) does not hold. He also shows that often, under these circumstances, a nearly linear trend-free design could be constructed. Designs that are derived by extending or deleting m disjoint and binary blocks from BIBD are considered. If the resulting designs have linear trend-free versions, by Constantine (1981), they are E-optimal designs with the corresponding classes. When k is even, however, it is impossible to have linear trend-free versions since not all the ri are even in such type of designs and (1) is violated. In this paper, we shall convert the designs to be nearly linear trend-free versions of them by permuting the treatment symbols within blocks, and investigate that the resulting designs remain to be E-optimal. Keywords: BIB design; Linear trend-free design; Nearly trend-free design; E-optimal