Construction Of Balanced Incomplete Block Design

In many fields, such as industry, agriculture and biomedicine, people oftenencounter with experiments about block structure. The balanced incomplete blockdesign (BIBD) affects the results and costs of the test design. Therefore, how toconduct the test, randomize it, build modals and analysis it become very importantquestions.In this paper, we concentrated on BIBD. We give the related theory of theproperties of BIBD, and show the superiorities of BIBD. In this paper, we introducethe basic principle of experiment design firstly. Then, we introduce block design. Inthe third chapter we turn to the definition, as well as the relations between parametersand its superiority of BIBD. In the fourth chapter, we devote us to the constructionmethods of BIBD. We can make BIBD from the Latin square, the orthogonal Latinsquare, and partially of BIBD.