BTIB Designs through General Efficiency Balanced Row-Column Designs and their Optimalities

M.S. Prajapati¹ , J.V. Jayswal²

1. Dept. of Mathematics, Muni. Arts & Urban Bank Science College, Mehsana, North Gujarat University, Patan, India.
2. Dept. of Mathematics, Smt.S.S. Patel Nootan Science and Commerce College, S.K. Patel University, Visnagar, India.

Correspondence should be addressed to: msp1121970@gmail.com Tel.: +91-98245-41553.

Section:Research Paper, Product Type: Journal-Paper
Vol.7 , Issue.2 , pp.51-54, Apr-2020

Online published on Apr 30, 2020

Copyright © M.S. Prajapati, J.V. Jayswal . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
In this article, we propose some methods of construction of rectangular-type and step-type balanced treatment incomplete block designs via general efficiency balanced row-column designs, and examine their A- and MV- optimalities.

Key-Words / Index Term :
A-optimality, MV-optimality, General efficiency balanced row-column (GEBRC) design, Rectangular (R-) type, Step (S-)type, Balanced treatment incomplete block (BTIB)design.

References :
[1]. BECHHOFER, R.E. and TAMHAANE , A.C. Incomplete block design for comparing treatments with a control : General theory, Technometrics,Vol.23, pp.45-57,1981,Corrigendum, Vol.24, 71, 1982.
[2]. CALINSKI, T. On the notation of balance in block designs. Recent development in statistics (J.R.Barra et. al. ed.) North Holland, pp. 365-374, 1977.
[3]. DAS, M.N. and GHOSH, D.K. Balance incomplete block designs. Sankhya ̅ B,Vol.47, Issue.1, pp.67-77, 1985.
[4]. GUPTA, S. A note on the notion of balance in block designs. Calcutta Statist.Assoc.Bull. , Vol.39, pp.85-89, 1987.
[5]. GUPTA, V.K. and PRASAD GANDHI, N.S. (1990) On general efficiency balanced row-column designs. Calcutta statist. Assoc. Bull. Vol.39, pp.173-183, 1990.
[6]. HEDAYAT, A.S. and MAJUMDAR, D. A-optimal incomplete block designs for control-test treatment comparisons, Technometrics, Vol.26, pp.363-370, 1984.
[7]. HEDAYAT, A.S. and MAJUMDAR, D. Model robust optimal designs for comparing test treatments with a control, J.statist.plann, inference, Vol.18, pp.25-33, 1988.
[8]. KAGEYAMA, S. AND MUKHERJEE, R. General balanced designs through reinforcement. Sankhya ̅ B, Vol.48, Issue.3, pp.380-387, 1986.
[9]. MAJUMDAR, D. and NOTZ, W. (1983). Optimal incomplete designs for comparing test treatments with a control, Ann. Statist., Vol.11, pp.258-266, 1983.
[10]. NOTZ, W. AND TAMHANE, A.C. Incomplete block designs for comparing treatments with a control: Minimal complete sets of generator designs for k=3, p=3 (1), Comm.Statist. A-12, pp.1391-1412, 1983.