Connections between Two-Level Factorials and Venn Diagrams
Dennis K. J. Lin, Amy W. Lam · The American Statistician · 1997
The Venn diagram is widely used in many textbooks to illustrate relationships in logic, algebra and probability events. Most applications are limited to k = 2 or 3 sets. Attempts have been made to construct Venn diagrams for many sets. This paper illustrates the connection between Venn diagrams and the well-known two-level factorial designs. Such a connection provides: (1) a simple way to construct a Venn diagram for any k sets, and (2) a graphical understanding of two-level factorials. Examples are given for k = 2, 3, 4, and 5.