Multivariate Data Analysis

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Multivariate Data AnalysisSusan Holmes susan/Bio-X and StatisticsIMA Workshop, October, do not really understand something unless you canexplain it to your grandmother-- Albert EinsteinI am your grandmother ........................................ ........................................ ...................................you do not really understand something unless you canexplain it to your grandmother-- Albert EinsteinI am your grandmother ........................................ ........................................ ...................................What are Multivariate data ?Simplest format: matrices:If we have measured 10,000 genes on hundreds of patientsand all the genes are independent, we can't do better thananalyze each gene's behavior by using histograms or boxplots, looking at the means, medians, variances and other `onedimensional statistics'.

Modern Statistics: Non parametric,multivariate Exploratory Analyses: Hypotheses generating. Projection Methods (new coordinates) Principal Component Analysis Principal Coordinate Analysis-Multidimensional Scaling (PCO,MDS) Correspondence Analysis Discriminant Analysis Tree based methods Phylogenetic Trees Clustering Trees

  Scaling, Multidimensional, Multidimensional scaling