Article

Title: Optimal Block and Row–Column Designs for CDC Methods

Author(s): M. K. Sharma and Mekonnen Tadesse
Issue: Volume 79 Series B Part 2 Year 2017
Pages: 278 -- 291
Abstract
A simple method of construction of three series of optimal block designs for complete diallel cross method (4) has been presented by using nested balanced incomplete block designs of Dey et al. (Calcutta Statist. Assoc. Bull. 35, 161–167 1986). The proposed designs are different from Gupta and Choi (Communication in Statistics-Theory and Methods 27(11), 2827–2835 1998) and Das et al. (Statistics and Probability Letters 36, 427–436 1998)’s designs in parametric values. From the proposed designs we have also derived three series of optimal row–column designs for complete diallel cross method (4) and three series of A–optimal row–column designs for complete diallel cross method (2), respectively. By using the proposed method, we have also obtained some more designs of the above types from nested balanced incomplete block designs of Morgan et al. (Discrete Mathematics 231, 351–389 2001). Tables of these optimal /A-optimal designs have been provided. Illustration of the layouts of the proposed designs along with their analysis has been provided
AMS (2000) subject classification. 62 k 05.
Keywords and phrases: Nested balanced incomplete block design, Row–column design, Complete diallel cross, Optimality