Date of Award

Spring 2007

Document Type



Computing, Mathematics and Physics

First Advisor

Dr. L. Marlin Eby


Linear models are a type of mathematical model commonly used by statisticians in order to capture the variability in a vector or in several vectors of random observations. Linear models are applied in many different fields of research, but are generally used for the purposes of regression, analysis of variance, and analysis of covariance. Literally, a linear model is a type of statistical model which is linear in the parameters. This paper will briefly introduce the basic theory which explains why and how linear models can be used.


Approved for Honors in the Department of Mathematical Sciences, Messiah College, 2008.