ABSTRACT
The introduction of blocking into the analysis of covariance models presents another dimension in the analysis. That dimension involves obtaining information about the slopes of the lines from the block means or totals, a process called the recovery of interblock information, as well as obtaining information about the slopes from the within block comparisons. The recovery of interblock information about treatment effects is used in the analysis of incomplete block designs, but there is no interblock information about treatment effects in complete block designs. This chapter develops the general methodology for analyzing analysis of covariance models when the data are collected in complete blocks. The next step is to consider the analysis of covariance in incomplete block designs which include split-plot and repeated measures designs (discussed in later chapters). A simple experiment involving two treatments in six blocks is used throughout this chapter to demonstrate the various concepts. The last section gives an example with equal slopes in 20 blocks.
