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Row-column designs for comparing treatments with a control |
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| Institution: | 1. School of Computer Science and Technology, Harbin Institute of Technology, Harbin 150001, PR China;2. Key Laboratory of Intelligent Information Processing, Chinese Academy of Sciences, Institute of Computing Technology, Beijing 100089, PR China;3. School of Computer Science and Technology, Harbin Institute of Technology, Weihai 264209, PR China;4. School of Computer and Control Engineering, University of Chinese Academy of Sciences, Beijing 100049, PR China;1. School of Information Science and Technology, Southwest Jiaotong University, Chengdu 611756, China;2. College of Computer Science, Sichuan University, Chengdu, 610065, China;3. Faculty of Software and Information Science, Iwate Prefectural University, Iwate, 020-0693, Japan |
| Abstract: | This paper considers the problem of the design and analysis of experiments for comparing several treatments with a control when heterogeneity is to be eliminated in two directions. A class of row-column designs which are balanced for treatment vs. control comparisons (referred to as the balanced treatment vs. control row-column or BTCRC designs) is proposed. These designs are analogs of the so-called BTIB designs proposed by Bechhofer and Tamhane (Technometrics 23 (1981) 45–57) for eliminating heterogeneity in one direction. Some methods of analysis and construction of these designs are given. A measure of efficiency of BTCRC designs in terms of the A-optimality criterion is derived and illustrated by several examples. |
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