ABSTRACT
This chapter examines basic experimental designs: completely randomized design randomized complete block (RCB) designs, Latin square designs, balanced incomplete block (BIB) designs, and more. A balanced incomplete block design is one in which every pair of treatments occur together in a block the same number of times. RCBs and BIBs make very efficient designs but keeping their balance is not crucial. In a BIB the analysis of blocks is conducted ignoring treatments and the analysis of treatments is conducted after adjusting for blocks. The analysis known as the intrablock analysis of a BIB; it is appropriate when the block effects are viewed as fixed effects. The chapter focuses on ideas of experimental design and how they determine the analysis of data. It also examines in the text and in the exercises data from many of these experimental designs. The simplest experimental design is the completely randomized design.
