BMTRY 726 : Multivariate Methods in Biology and Medicine

DESCRIPTION

This course will consist of multivariate techniques in biology and medicine including multivariate tests of mean vectors and covariance matrices, multivariate analysis of variance and regression, repeated measures analysis, random and mixed effects models, generalized estimating equations, generalized linear mixed models, canonical correlation, factor analysis, principal components analysis, discriminant analysis. Directed to biostatistics students; useful for epidemiology students.

TOPICS:

• Multivariate data
• Matrix algebra review, SAS IML
• Random Vectors
• Multivariate normal distribution
• One-Sample, Hotellings T
• One-Sample Confidence Regions, Intervals
• Maximum Likelihood for Multiv. Normal
• Missing Data in Multiv. Normal
• Two Sample Tests
• One-way MANOVA
• Two-way MANOVA
• Multivariate multiple linear regression
• Profile Analysis
• Studies with Clustered Continuous Outcomes
• Random Effects Models for Clustered Data
• Mixed Models for Clustered Data
• Generalized Least Squares, Maximum Likelihood
• Longitudinal Models for Continuous Outcomes
• Robustness of Generalized Least Squares
• Studies with Clustered Binary Outcomes
• Logistic Regression, extension to Clusters
• Models-Clustered and Longitudinal Binary Data
• Generalized Estimating Equations
• Principal component analysis
• Canonical Correlation
• Factor Analysis
• Discriminant function analysis/Classification
• Cluster Analysis