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Bhartiya Krishi Anusandhan Patrika, volume 39 issue 2 (june 2024) : 108-114

Incomplete Block Designs for Comparing Test Treatments with Multiple Controls

Vinayaka1,2, B.N. Mandal3, Rajender Parsad4, Vinaykumar L.N.1,*, P. Murali2, Amaresh2, Shweta Kumari2
1The Graduate School, ICAR-Indian Agricultural Research Institute, Pusa, New Delhi- 110 012, India.
2ICAR-Sugarcane Breeding Institute, Coimbatore-641 007, Tamil Nadu, India.
3ICAR-Indian Agricultural Research Institute, Hazaribagh-825 405, Jharkhand, India.
4ICAR-Indian Agricultural Statistics Research Institute, Pusa, New Delhi-110 012, India.

  • Submitted07-03-2024|

  • Accepted06-05-2024|

  • First Online 18-06-2024|

  • doi 10.18805/BKAP723

Cite article:- Vinayaka, Mandal B.N., Parsad Rajender, L.N. Vinaykumar, Murali P. , Amaresh, Kumari Shweta (2024). Incomplete Block Designs for Comparing Test Treatments with Multiple Controls . Bhartiya Krishi Anusandhan Patrika. 39(2): 108-114. doi: 10.18805/BKAP723.

ABSTRACT

Background: This article provides some new construction methods of partially balanced bipartite block (PBBB) designs for comparing test treatments with more than one control.

Methods: Partially balanced incomplete block (PBIB) designs based on some association schemes such as group divisible association, and cyclic association are used for developing these methods of construction. 

Result: A catalogue of efficient PBBB designs is included for parameter values n1 (number of test treatments) ≤10, n2 (number of control treatments) ≤10 and r2 (replications of test treatments) and (replications of control treatments) ≤15 along with computed variances using SAS code.

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