Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6870641 | Computational Statistics & Data Analysis | 2014 | 13 Pages |
Abstract
Knowledge of the cardinality and the number of minimal rank reducing observation sets in experimental design is important information which makes a useful contribution to the statistician's tool-kit to assist in the selection of incomplete block designs. Its prime function is to guard against choosing a design that is likely to be altered to a disconnected eventual design if observations are lost during the course of the experiment. A method is given for identifying these observation sets based on the concept of treatment separation, which is a natural approach to the problem and provides a vastly more efficient computational procedure than a standard search routine for rank reducing observation sets. The properties of the method are derived and the procedure is illustrated by four applications which have been discussed previously in the literature.
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
J.D. Godolphin, H.R. Warren,