Title
Two-way analysis of high-dimensional collinear data
Abstract
We present a Bayesian model for two-way ANOVA-type analysis of high-dimensional, small sample-size datasets with highly correlated groups of variables. Modern cellular measurement methods are a main application area; typically the task is differential analysis between diseased and healthy samples, complicated by additional covariates requiring a multi-way analysis. The main complication is the combination of high dimensionality and low sample size, which renders classical multivariate techniques useless. We introduce a hierarchical model which does dimensionality reduction by assuming that the input variables come in similarly-behaving groups, and performs an ANOVA-type decomposition for the set of reduced-dimensional latent variables. We apply the methods to study lipidomic profiles of a recent large-cohort human diabetes study.
Year
DOI
Venue
2009
10.1007/s10618-009-0142-5
Data Min. Knowl. Discov.
Keywords
Field
DocType
ANOVA,Factor analysis,Hierarchical model,Metabolomics,Multi-way analysis,Small sample-size
Data mining,Covariate,Bayesian inference,Dimensionality reduction,Pattern recognition,Multivariate statistics,Computer science,Latent variable,Curse of dimensionality,Artificial intelligence,Hierarchical database model,Sample size determination
Journal
Volume
Issue
ISSN
19
2
0302-9743
Citations 
PageRank 
References 
9
0.76
10
Authors
5
Name
Order
Citations
PageRank
Ilkka Huopaniemi1262.41
Tommi Suvitaival2333.21
Janne Nikkilä320016.65
Matej Oresic432334.23
Samuel Kaski52755245.52