Title
Generic framework for high-dimensional fixed-effects ANOVA.
Abstract
In functional genomics it is more rule than exception that experimental designs are used to generate the data. The samples of the resulting data sets are thus organized according to this design and for each sample many biochemical compounds are measured, e.g. typically thousands of gene-expressions or hundreds of metabolites. This results in high-dimensional data sets with an underlying experimental design. Several methods have recently become available for analyzing such data while utilizing the underlying design. We review these methods by putting them in a unifying and general framework to facilitate understanding the (dis-)similarities between the methods. The biological question dictates which method to use and the framework allows for building new methods to accommodate a range of such biological questions. The framework is built on well known fixed-effect ANOVA models and subsequent dimension reduction. We present the framework both in matrix algebra as well as in more insightful geometrical terms. We show the workings of the different special cases of our framework with a real-life metabolomics example from nutritional research and a gene-expression example from the field of virology.
Year
DOI
Venue
2012
10.1093/bib/bbr071
BRIEFINGS IN BIOINFORMATICS
Keywords
Field
DocType
high-dimensional data,designed experiments,ASCA,PRC,SMART
Data mining,Research design,Clustering high-dimensional data,Data set,Dimensionality reduction,Matrix algebra,Computer science,Bioinformatics,Principal component analysis,Design of experiments
Journal
Volume
Issue
ISSN
13
5
1467-5463
Citations 
PageRank 
References 
0
0.34
6
Authors
5
Name
Order
Citations
PageRank
Age K Smilde117616.49
Marieke E. Timmerman2416.57
Margriet M. W. B. Hendriks300.34
Jeroen J. Jansen4477.40
Huub C J Hoefsloot57812.80