The analysis of categorical data involves the following methods:
- (a):
-
A study of the goodness-of-fit test;
- (b):
-
The study of a contingency table and its subsequent analysis, which consists of discovering and studying relationships between the attributes (if they exist);
- (c):
-
An homogeneity test of some populations, related to the distribution of a binary qualitative categorical variable;
- (d):
-
An examination of the independence hypothesis.
HISTORY
The term “contingency”, used in the relation to cross tables of categorical data was probably first used by Pearson, Karl (1904). The chi-square test, was proposed by Barlett, M.S. in 1937.
MATHEMATICAL ASPECTS
See goodness-of-fit and contingency table.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
REFERENCES
Agresti, A.: Categorical Data Analysis. Wiley, New York (1990)
Bartlett, M.S.: Properties of sufficiency and statistical tests. Proc. Roy. Soc. Lond. Ser. A 160, 268–282 (1937)
Cox, D.R., Snell, E.J.: Analysis of Binary Data, 2nd edn. Chapman & Hall, London (1990)
Haberman, S.J.: Analysis of Qualitative Data. Vol. I: Introductory Topics. Academic, New York (1978)
Pearson, K.: On the theory of contingency and its relation to association and normal correlation. Drapers' Company Research Memoirs, Biometric Ser. I., pp. 1–35 (1904)
Rights and permissions
Copyright information
© 2008 Springer-Verlag
About this entry
Cite this entry
(2008). Analysis of Categorical Data. In: The Concise Encyclopedia of Statistics. Springer, New York, NY. https://doi.org/10.1007/978-0-387-32833-1_6
Download citation
DOI: https://doi.org/10.1007/978-0-387-32833-1_6
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-31742-7
Online ISBN: 978-0-387-32833-1
eBook Packages: Mathematics and StatisticsReference Module Computer Science and Engineering