Trend-free Circular Partially Balanced Incomplete Block design

Longjam Roshini Chanu; K K Singh Meitei

doi:10.55524/ijirem.2025.12.6.22

Abstract

This paper constructs a series of linear trend-free circular (LTFC) partially balanced incomplete block (PBIB) designs for any block size k≥2. The proposed designs satisfy the requirements of PBIB designs. Theoretical proofs supporting the construction methods are presented, along with illustrative examples to demonstrate the proposed designs.

Keywords

Linear Trend-Free Design; Circular Block Design; Partially Balanced Incomplete Block Design; Orthogonal Polynomial Trend.

References

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Cites this article as

L. R. Chanu, K. K. S. Meitei, " Trend-free Circular Partially Balanced Incomplete Block design ", International Journal of Innovative Research in Engineering and Management (IJIREM), Vol-12, Issue-6, Page No-123-126, 2025. Available from: https://doi.org/10.55524/ijirem.2025.12.6.22