SOME OPTIMAL DESIGNS OF BLOCK SIZE 2

被引：7

作者：

BAGCHI, S

CHENG, CS

机构：

[1] INDIAN STAT INST,CALCUTTA 700035,W BENGAL,INDIA

[2] UNIV CALIF BERKELEY,DEPT STAT,BERKELEY,CA 94720

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1993年 / 37卷 / 02期

基金：

美国国家科学基金会;

关键词：

E-OPTIMALITY; GROUP-DIVISIBLE DESIGN; RECTANGULAR ASSOCIATION SCHEME; REGULAR GRAPH DESIGN; RECTANGULAR LATTICE;

D O I：

10.1016/0378-3758(93)90093-L

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

Cheng and Constantine (J. Statistical Planning and Inference, 15, 1986) showed the E-optimality of some regular graph designs when the block size k greater-than-or-equal-to 3. For k=2, they could only prove the E-optimality over equireplicate designs. In this paper. we remove the restriction to equireplicate designs, thereby establishing the E-optimality of many designs with k=2 over the whole class of competing designs. As an application, we establish the E-optimality of a class of partially balanced incomplete block designs with a rectangular association scheme. Finally a simple method for constructing highly efficient designs of block size two is discussed.

引用

页码：245 / 253

页数：9

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