Latin Square Type Bipartite Row – Column Designs

LATIN SQUARE TYPE BIPARTITE ROW –COLUMN DESIGNS

SATYENDER SINGH AND B.D MEHTA

Department of Math. & Statistics,

CCS Haryana Agricultural University,

 Hisar-125004 (India)

(Email: satyender@rediffmail.com)

(Received: 24 August 2013; Accepted: 26 September 2013)

SUMMARY

A class of Balanced Bipartite Row-Column Designs (BBPRC-designs)in two sets of treatments of sizes v1=v and v2=v+1 with replications 2(v-1) and 2v respectively has been constructed by replacing the ii-th positions of 2v × 2v standard cyclic latin square design in 2v treatments by 2v treatments by (2v+1)-th treatment. Such design find applications in agricultural and industrial experimentations where different replications for two sets of treatments are to be provided or we wish to estimate the two sets of treatments with different precisions and at the same time want to eliminate two way heterogeneity.

Key words: Standard cyclic latin designs, Balanced bipartite row-columns design, GEB-designs.

38(4) 217-220