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A similarity index for comparing coupled matrices

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Journal of Chemometrics ; Volume 32. p. 2018

Indahl, Ulf Geir; Næs, Tormod; Liland, Kristian Hovde

Application of different multivariate measurement technologies to the same set of samples is an interesting challenge in many fields of applied data analysis. Our proposal is a 2‐stage similarity index framework for comparing 2 matrices in this type of situation. The first step is to identify factors (and associated subspaces) of the matrices by methods such as principal component analysis or partial least squares regression to provide good (low ‐dimensional) summa- ries of their information content. Thereafter, statistical significances are assigned to the similarity values obtained at various factor subset combinations by considering orthogonal projections or Procrustes rotations and how to express the results compactly in correspond ing summary plots. Applications of the methodology include the investigation of redundancy in spectroscopic data and the investigation of assessor consistency or deviations in sensory science. The proposed methodology is implemented in the R‐package “MatrixCorrelation ” available online from CRAN.

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