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Simple pilot procedures for the avoidance of disconnected experimental designs

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  • J. D. Godolphin

Abstract

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.

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  • J. D. Godolphin, 2004. "Simple pilot procedures for the avoidance of disconnected experimental designs," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 53(1), pages 133-147, January.
    • Handle: RePEc:bla:jorssc:v:53:y:2004:i:1:p:133-147
    DOI: 10.1046/j.0035-9254.2003.05054.x
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    Cited by:

    1. Godolphin, J.D., 2006. "The specification of rank reducing observation sets in experimental design," Computational Statistics & Data Analysis, Elsevier, vol. 51(3), pages 1862-1874, December.
    2. Godolphin, P.J. & Godolphin, E.J., 2019. "Robust assessment of two-treatment higher-order cross-over designs against missing values," Computational Statistics & Data Analysis, Elsevier, vol. 132(C), pages 31-45.
    3. Bate, S.T. & Godolphin, E.J. & Godolphin, J.D., 2008. "Choosing cross-over designs when few subjects are available," Computational Statistics & Data Analysis, Elsevier, vol. 52(3), pages 1572-1586, January.
    4. Godolphin, J.D. & Warren, H.R., 2014. "An efficient procedure for the avoidance of disconnected incomplete block designs," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 1134-1146.
    5. Qu, Xianggui & Ogunyemi, Theophilus, 2009. "On the connectedness of saturated square designs," Statistics & Probability Letters, Elsevier, vol. 79(2), pages 211-214, January.

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