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Simple pilot procedures for the avoidance of disconnected experimental designs
Author(s) -
Godolphin J. D.
Publication year - 2004
Publication title -
journal of the royal statistical society: series c (applied statistics)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.205
H-Index - 72
eISSN - 1467-9876
pISSN - 0035-9254
DOI - 10.1046/j.0035-9254.2003.05054.x
Subject(s) - simple (philosophy) , set (abstract data type) , computer science , matrix (chemical analysis) , projection (relational algebra) , algorithm , programming language , materials science , composite material , philosophy , epistemology
Summary. Two simple pilot procedures are proposed for avoiding the problem of dealing with a disconnected experimental design. Both procedures should be carried out on the selected design before any experimentation is considered. The first procedure is a check that the suggested design is connected with respect to treatments. This makes use of the information matrix for the model and provides feed‐back on a disconnected design. The second procedure specifies which observations are influential in causing a connected design to become disconnected, with respect to any set of parameter effects, if these observations are lost during the experimental period. This specification is found by examining the projection matrix for the model. These pilot procedures are illustrated by several examples.