ABSTRACT

The discussions in Chapters 9 through 12 have been building towards the general method of analyzing mixed models. The mixed model occurs when the model has more than one parameter in the distribution of the error term. There are three types of mixed models. The first type of mixed model occurs when there is a fixed effects treatment structure and some type of blocking in the design structure which requires a model with more than one random effect and thus more than one variance component. The second type of mixed model occurs when the treatment structure consists of fixed effects and random effects. The third type of mixed model occurs when the treatment structure consists of fixed effects and there are unequal variances; thus there are more than one variance component in the model. If all of the factors in the treatment structure are random effects, no matter the type of design structure, the model can be analyzed using the methods of Chapter 12.