The multivariate normal model
Up until now all of our statistical models have been univariate models, that is, models for a single measurement on each member of a sample of individuals or each run of a repeated experiment. However, datasets are frequently multivariate, having multiple measurements for each individual or experiment. This chapter covers what is perhaps the most useful model for multivariate data, the multivariate normal model, which allows us to jointly estimate population means, variances and correlations of a collection of variables. After first calculating posterior distributions under semiconjugate prior distributions, we show how the multivariate normal model can be used to impute data that are missing at random.
KeywordsCovariance Matrix Posterior Distribution Prior Distribution Reading Comprehension Multivariate Normal Distribution
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