Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1149102 | Journal of Statistical Planning and Inference | 2010 | 6 Pages |
Abstract
The paper aims to find variance balanced and variance partially balanced incomplete block designs when observations within blocks are autocorrelated and we call them BIBAC and PBIBAC designs. Orthogonal arrays of type I and type II when used as BIBAC designs have smaller average variance of elementary contrasts of treatment effects compared to the corresponding Balanced Incomplete Block (BIB) designs with homoscedastic, uncorrelated errors. The relative efficiency of BIB designs compared to BIBAC designs depends on the block size k and the autocorrelation Ï and is independent of the number of treatments. Further this relative efficiency increases with increasing k. Partially balanced incomplete block designs with autocorrelated errors are introduced using partially balanced incomplete block designs and orthogonal arrays of type I and type II.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiaohua Shu, Damaraju Raghavarao,