The Parshvanath yantram yields a constant-sum partially balanced incomplete block design

ABSTRACT

Yantrams have been used to generate mixture designs in the interior of a simplex. In this note, we show a connection between Parshvanath yantram and a particular partially balanced incomplete block design. This block design is rather special and somewhat unexpected due to the feature that sum of the treatment symbols in any block is constant.

KEYWORDS:

• Mixture designs in interior
• Parshvanath yantram
• Partially balanced incomplete block designs
• Yantram designs.

MATHEMATICS SUBJECT CLASSIFICATION:

• 62K10
• 62K99
• 05B05
• 05B15
• 05B30
• 51E05

Acknowledgment

I wish to thank two anonymous referees for their helpful suggestions resulting in the improvements in this manuscript.