Weighted A-efficiency of block designs for making treatment-control and treatment-treatment comparisons

被引：6

作者：

Gupta, VK ^{[1
]}

Ramana, DVV ^{[1
]}

Parsad, R ^{[1
]}

机构：

[1] Indian Agr Res Inst, New Delhi 110012, India

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 1999年 / 77卷 / 02期

关键词：

treatment-control comparisons; treatment-treatment comparisons; weighted A-optimality; weighted A-efficiency; BTIB designs;

D O I：

10.1016/S0378-3758(98)00187-6

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：

The problem of comparing v test treatments and a control in b blocks of size k each is considered. Two different sets of contrasts, test treatment-control and test treatment-test treatment contrasts, are considered. Conditions under which a design is weighted A-optimal for estimating these two sets of contrasts with unequal precision are derived. A general method of construction of BTIB designs is given and their weighted A-efficiencies are worked out. A catalogue of weighted A-efficient BTIB designs is also given. (C) 1999 Published by Elsevier Science B.V. All rights reserved. AMS classifications: primary 62K05; secondary 62K10.

引用

页码：301 / 319

页数：19

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