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Prediction of the variations of the mean response by using experimental design with quantitative factors and random block effects. (English) Zbl 1009.62571
Summary: This paper is devoted to the prediction of the mean response variations when a linear mixed model is used. Our main goal is to determinate rotatability properties. We prove that slope-rotatability or slope-rotatability over any direction cannot easily be used in practice. That is why we study a weaker notion, called slope-rotatability over all directions.
62K10 Statistical block designs
62K20 Response surface designs
Full Text: DOI
[1] Box G. E.P., mpirical model-building and response surfaces (1987)
[2] Khuri A., Response Surfaces: designs and analyses (1996) · Zbl 0953.62073
[3] Collombier D., Revue de Statistique Appliquée pp 75– (1997)
[4] Tinsson W., Revue de Statistique Appliquée pp 47– (1999)
[5] Montgomery D. C., Response surface methodology (1996)
[6] DOI: 10.2307/1267641 · Zbl 0404.62051
[7] DOI: 10.2307/1269456 · Zbl 0632.62075
[8] Christensen R., lane answers to complex questions. Springers Texts in Statistics (1987) · Zbl 0645.62076
[9] DOI: 10.2307/2527669 · Zbl 0128.40301
[10] DOI: 10.2307/1269549 · Zbl 0850.62618
[11] DOI: 10.1016/0378-3758(93)90136-T · Zbl 0817.62061
[12] Tinsson W., Thèse de doctorat. Université de Pau et des Pays de l’ Adour (1998)
[13] DOI: 10.1080/03610929808832258 · Zbl 0917.62069
[14] DOI: 10.2307/1268814
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