ABSTRACT

This chapter considers the analysis for a special randomized block design, namely, the randomized complete block design. It discusses the analysis of data sets obtained in randomized complete block design (RCBD) experiments. For the RCBD, each worker will use each machine once and the order in which they use the machines is randomized. In an RCBD, the estimable functions of primary interest are the treatment contrasts. As a design, an RCBD is a two–factor design involving treatments and blocks. In this design the experimental units are grouped into blocks, the size of a block equals the number of treatments, and the treatments are randomly assigned to the experimental units within a block such that each treatment occurs exactly once in every block. In an RCBD the purpose of blocking is to potentially reduce the experimental error. When blocking can significantly reduce the experimental error the RCBD is a better choice for a design than a completely randomized design.