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.
Original language | English (US) |
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Pages (from-to) | 387-400 |
Number of pages | 14 |
Journal | Journal of Statistical Planning and Inference |
Volume | 49 |
Issue number | 3 |
DOIs | |
State | Published - Feb 1 1996 |
Keywords
- BTCRC designs
- BTIB designs
- Designs for two-way elimination of heterogeneity
- Multiple comparisons with a control
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty
- Applied Mathematics