Shrikhande, S. S. ; Singhi, N. M.
(1979)
*Embedding of orthogonal arrays of strength two and deficiency greater than two*
Journal of Statistical Planning and Inference, 3
(4).
pp. 367-379.
ISSN 0378-3758

Full text not available from this repository.

Official URL: http://www.sciencedirect.com/science/article/pii/0...

Related URL: http://dx.doi.org/10.1016/0378-3758(79)90033-8

## Abstract

Let x≥0 and n≥2 be integers. Suppose there exists an orthogonal array A(n, q, μ^{∗}) of strength 2 in n symbols with q rows and n^{2}μ^{∗} columns where q^{∗}=q−d, q^{∗}=n^{2}x+n+1, μ^{∗}=(n−1)x+1 and d is a positive integer. Then d is called the deficiency of the orthogonal array. The question of embedding such an array into a complete array A(n, q^{∗}, μ^{∗}) is considered for the case d≥3. It is shown that for d=3 such an embedding is always possible if n≥2(d−1)^{2}(2d^{2}−2d+1). Partial results are indicated if d≥4 for the embedding of a related design in a corresponding balanced incomplete block design.

Item Type: | Article |
---|---|

Source: | Copyright of this article belongs to Elsevier Science. |

Keywords: | Orthogonal Array; Balanced Incomplete Block Design; Partial Geometric Design; Edge Regular Multigraph |

ID Code: | 50426 |

Deposited On: | 23 Jul 2011 12:04 |

Last Modified: | 13 Jul 2012 09:31 |

Repository Staff Only: item control page