Designs Robust Against the Presence of an Aberration in a Diallel Cross Design Setup

Abstract

In this article, we find designs insensitive to the presence of an outlier in a diallel cross design setup for estimating a complete set of orthonormal contrasts among the effects of the general combining abilities of a set of parental lines. The criterion of robustness, suggested by Mandal (1989) in block design setup and used by Biswas (2012) in treatment-control setup, is adapted here. Complete diallel cross designs, suggested by Gupta and Kageyama (1994), and partial diallel cross designs, suggested by Gupta et al. (1995) and Mukerjee (1997), are found to be robust under certain conditions.

Keywords:

• Complete diallel crosses
• Diallel cross designs
• Outliers
• Partial diallel crosses
• Robust designs

Mathematics Subject Classification:

• 62K25

Acknowledgment

The author is grateful to an anonymous referee for his constructive suggestions which immensely helped to improve the presentation of this article.