ABSTRACT

This chapter deals with some basic linear models, namely models for ana­ lyzing one, two or several samples. These models exemplify the application of the theory developed in Chapter 2.

Suppose we have observations corresponding to n independent random vari­ ables Y\,..., Yn, identically distributed with distribution

Yi~N(0,a2), i=l,...,n. (1.1)

This model implies that the mean and the variance are common for the n observations. We may be interested in testing hypotheses about /3 or about a2. This is a very simple linear model, and among other things, we derive the classical /- test for hypotheses about /?.