✦ LIBER ✦

Row-column directed block designs

✍ Scribed by D.G. Sarvate; R.C. Hamm

Publisher: Elsevier Science
Year: 1991
Tongue: English
Weight: 434 KB
Volume: 92
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(91)90290-i

No coin nor oath required. For personal study only.

✦ Synopsis

A balanced incomplete block design (BIBD) is called a row-column directed BIBD (RCDBIBD) if: (i) it is directed in the usual sense,, i.e., each ordered pair of points occurs an equal number of times in the blocks (directed column wise), and (ii) the blocks are arranged in such a way that (a) each point occurs an equal number of times in each row, and (b) each ordered pair of distinct points occurs an almost equal number of times in the rows. The present paper gives construction techniques for RCDBIBDs and proves that the necessary conditions are sufficient for the existence of RCDBIBDs with block size 2. Existence of RCDBlBDs with block size 3 and u = I mod 6 is shown and it is proved that an RCDBIBD(7,7,4,4,1*) does not exist.

📜 SIMILAR VOLUMES

Robustness of row-column designs

✍ Gulab Singh; Sudhir Gupta; Murari Singh 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 190 KB

Some row-column designs with adjusted or

Some row-column designs with adjusted orthogonality

✍ J.A. Eccleston; J.A. John; D. Whitaker 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 429 KB

On some aspects of row-column designs

✍ K.R. Shah; J.A. Eccleston 📂 Article 📅 1986 🏛 Elsevier Science 🌐 English ⚖ 488 KB

Repeated row-column designs with split u

Repeated row-column designs with split units

✍ Danuta Kachlicka; Stanislaw Mejza 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 661 KB

A Note on Block Designs with Nested Rows

A Note on Block Designs with Nested Rows and Columns

✍ Dr. Murari Singh 📂 Article 📅 1989 🏛 John Wiley and Sons 🌐 English ⚖ 256 KB 👁 2 views

Block designs with nested rowsand columns have been introduced by SINGE and DEY (1979). This note gives some results regarding the total relative loss of information and patterns of efficiency balanced block designs with nested rows and columns in variable replications of treatments.

Geometric construction of balanced block

Geometric construction of balanced block designs with nested rows and columns

✍ Rahul Mukerjee; Sudhir Gupta 📂 Article 📅 1991 🏛 Elsevier Science 🌐 English ⚖ 235 KB

A new series of balanced block designs with nested rows and columns is constructed using the finite Euclidian geometry. Some such designs along the line of Cheng (1986) are also considered. A result on the system of distinct representatives is seen to be helpful in the derivation.