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Statistical Methods for Designed Experiments and Spectroscopic Data

Tobias Adolfsson (Institutionen för matematisk statistik)
Göteborg : Chalmers University of Technology, 2002. ISBN: 91-7291-136-0.
[Doktorsavhandling]

This thesis consists of six papers related to saturated orthogonal designs, spectroscopic and high dimension data analysis. The first two papers deals with testing procedures for saturated orthogonal designs. Both the presented methods controls the multiple level of significance. In paper C a regression method is constructed for both multivariate and univariate situations. The correctness of the subspace of regression can be tested using the multiple testing technique constructed in paper A. Paper D gives a method for testing the chemical rank of spectroscopic data. In paper E the effectiveness of high-dimension data gathered in a random way is examined and compared to an optimality criteria. Paper F deals with partial least squares and cross validation. The paper explores, and partly explains, some of the strange behaviour of partial least squares.

2000 Mathematical subject classification: 62F03, 62F25, 62H25, 62J05, 62K15

Nyckelord: saturated orthogonal designs, multiple inference, step-down testing, partial least squares, principal components regression



Denna post skapades 2006-08-28. Senast ändrad 2013-09-25.
CPL Pubid: 571

 

Institutioner (Chalmers)

Institutionen för matematisk statistik (2002-2004)

Ämnesområden

Matematik

Chalmers infrastruktur

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Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie 1818