Some Supplemented Designs for Symmetrical Parallel Line Bio-Assays
by
L. R. Gupta
Department of Mathematics & Statistics, CCS Haryana Agriculural University, INDIA
Coauthors: B.D. Mehta (Department of Mathematics and Statistics, CCS Haryana Agriculural University, INDIA), R.C. Hasija (Department of Mathematics and Statistics, CCS Haryana Agriculural University, INDIA)

Incomplete block designs have been used quite effectively in biological assays. Here the contrasts of interest are other than the elementary contrasts and as such conventional incomplete block designs may be quite inappropriate. In biological assays the contrast of interest are (i) preparation (Lp) (ii) combined regression(L1) and parallelism (L1/ ) contrasts. Designs for symmetrical parallel line (SPL) assays providing maximum efficiency on the important contrsts have been constructed by Das and Kulkarni (1966), Kyi-Win and Day (1980), Nigam and Boopathy (1985), Puri and Gupta (1986, 1988 and 1989) and Gupta et al., (1987). In this paper some designs for symmetrical parallel line assays which leaves important contrast of interest unconfounded with block effects have been presented. The proposed designs are partially efficiency balanced designs with at most two efficiency classes and thus have simple analysis.

Date received: May 14, 2001