Improving the detection of significant factors using ANOVA-PCA by selective reduction of residual variability

Rui Climaca-Pinto, Antonio Barros, Natalie Locquet, Leigh Schmidtke, Douglas Rutledge

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

Selective elimination of residual error can be used when applying Harrington's ANOVA-PCA in order to improve the capabilities of the method. ANOVA-PCA is sometimes unable to discriminate between levels of a factor when sources of high residual variability are present. In some cases this variability is not random, possesses some structure and is large enough to be responsible for the first principal components calculated by the PCA step in the ANOVA-PCA. This fact sometimes makes it impossible for the interesting variance to be in the first two PCA components. By using the proposed selective residuals elimination procedure, one may improve the ability of the method to detect significant factors as well as have an understanding of the different kinds of residual variance present in the data. Two datasets are used to show how the method is used in order to iteratively detect variance associated with the factors even when it is not initially visible. A permutation method is used to confirm that the observed significance of the factors was not accidental.
Original languageEnglish
Pages (from-to)131-142
Number of pages12
JournalAnalytica Chimica Acta
Volume653
Issue number2
DOIs
Publication statusPublished - Oct 2009

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Passive Cutaneous Anaphylaxis
Analysis of variance (ANOVA)
Analysis of Variance
method
detection

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abstract = "Selective elimination of residual error can be used when applying Harrington's ANOVA-PCA in order to improve the capabilities of the method. ANOVA-PCA is sometimes unable to discriminate between levels of a factor when sources of high residual variability are present. In some cases this variability is not random, possesses some structure and is large enough to be responsible for the first principal components calculated by the PCA step in the ANOVA-PCA. This fact sometimes makes it impossible for the interesting variance to be in the first two PCA components. By using the proposed selective residuals elimination procedure, one may improve the ability of the method to detect significant factors as well as have an understanding of the different kinds of residual variance present in the data. Two datasets are used to show how the method is used in order to iteratively detect variance associated with the factors even when it is not initially visible. A permutation method is used to confirm that the observed significance of the factors was not accidental.",
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Improving the detection of significant factors using ANOVA-PCA by selective reduction of residual variability. / Climaca-Pinto, Rui; Barros, Antonio; Locquet, Natalie; Schmidtke, Leigh; Rutledge, Douglas.

In: Analytica Chimica Acta, Vol. 653, No. 2, 10.2009, p. 131-142.

Research output: Contribution to journalArticle

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