Abstract
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 language | English (US) |
|---|---|
| Pages (from-to) | 49-51 |
| Number of pages | 3 |
| Journal | American Statistician |
| Volume | 51 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jan 1 1997 |
Fingerprint
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Mathematics(all)
- Statistics, Probability and Uncertainty
Cite this
}
Connections between Two-Level Factorials and Venn Diagrams. / Lin, Dennis K.J.; Lam, Amy W.
In: American Statistician, Vol. 51, No. 1, 01.01.1997, p. 49-51.Research output: Contribution to journal › Article
TY - JOUR
T1 - Connections between Two-Level Factorials and Venn Diagrams
AU - Lin, Dennis K.J.
AU - Lam, Amy W.
PY - 1997/1/1
Y1 - 1997/1/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0031504053&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0031504053&partnerID=8YFLogxK
U2 - 10.1080/00031305.1997.10473588
DO - 10.1080/00031305.1997.10473588
M3 - Article
AN - SCOPUS:0031504053
VL - 51
SP - 49
EP - 51
JO - American Statistician
JF - American Statistician
SN - 0003-1305
IS - 1
ER -