Analysis of Categorical Data

Reference work entry
DOI: https://doi.org/10.1007/978-0-387-32833-1_6
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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.

FURTHER READING

REFERENCES

  1. 1.
    Agresti, A.: Categorical Data Analysis. Wiley, New York (1990)zbMATHGoogle Scholar
  2. 2.
    Bartlett, M.S.: Properties of sufficiency and statistical tests. Proc. Roy. Soc. Lond. Ser. A 160, 268–282 (1937)zbMATHCrossRefGoogle Scholar
  3. 3.
    Cox, D.R., Snell, E.J.: Analysis of Binary Data, 2nd edn. Chapman & Hall, London (1990)Google Scholar
  4. 4.
    Haberman, S.J.: Analysis of Qualitative Data. Vol. I: Introductory Topics. Academic, New York (1978)Google Scholar
  5. 5.
    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)Google Scholar

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