The structure of the project should be in the form of an article, and include the following items: a title an abstract an introduction section a few sections of main content a discussion section Figures and tables should appear in the main body of the article. Code should appear in an appendix. Project topics can involve data analysis, computation, and/or theory. A theory article could take the form of a review of two or three articles or book chapters. Some suggested project topics include the following: 1. MLEs and Bayesian estimation for data from the matrix normal distribution. MLE estimation for the matrix normal distribution can be done with an interative procedure. For this project, you will implement this procedure in R. Also, Bayesian inference for the matrix normal model is very straightforward. In this project you will also need to write R code to obtain the Bayes estimate, and compare it to the MLE. 2. Classifier selection using cross-validation: Select a multivariate dataset with one categorical variable and at least three continuous variables. Using the continuous variables, construct a classifier for the categorical data. You will need to decide whether or not to assume a constant variance across groups, and also which continuous variables to include in your classifier. Make these evaluations using cross-validation. 3. Variable selection in regression. Select a multivariate dataset that has a p-dimensional outcome variable and at least q=3 explanatory variables. Perform hypothesis tests to evaluate the effect of each of your explanatory variables. Also, perform cross validation to assess the predictive performance of each explanatory variable. 4. An analysis of data that are of interest to you, using some of the methods discussed in class. 5. Bayesian estimation for the multivariate regression model. 6. Copula modeling 7. Something else of interest to you, and discussed with me. I'll be adding potential topics to this list this week. You are encouraged to start thinking about what you would like to do ASAP.