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Multivariate Data Analysis

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'. However if some of the genes areacting together, either that they are positively correlated orthat they inhibit each other, we will miss a lot of importantinformation by slicing the data up into those column vectorsand studying them separately.

information by slicing the data up into those column vectors and studying them separately. Thus important connections ... If the data were multivariate normal with p variables,all the information would be contained in thep pcovariance matrix ... the 9,000 species are a random sample of bacteria since these

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