Connections between Two-Level Factorials and Venn Diagrams

Dennis K.J. Lin, Amy W. Lam

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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.

Original languageEnglish (US)
Pages (from-to)49-51
Number of pages3
JournalAmerican Statistician
Issue number1
StatePublished - Feb 1997

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • General Mathematics
  • Statistics, Probability and Uncertainty


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