ABSTRACT

In contrast to inference on the treatment means themselves, as described in Chapter 1, the subject of multiple comparisons is concerned with the comparison of the treatment means //i,//2, • • • ,P>k-Thus, the parameters of interest in multiple comparison methods are functions of contrasts of / L 6 i , / X 2 , . . . , /Zfc. A contrast of the fa's is a linear combination ^2i=l Cifa with ]Ci=i °i — 0. In this chapter multiple comparison methods will be classified primarily according to the type of inference each is designed to give, and secondarily according to the strength of the inference of which each is capable. We first describe various types of multiple comparisons.

2.1 Types of multiple comparisons inference