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Was This in Your Statistics Textbook? IV. Frequency Data

Published online by Cambridge University Press:  03 October 2008

D. J. Finney
Affiliation:
International Statistical Institute Research Centre, 428 Prinses Beatrixlaan, 2270 AZ Voorburg, The Netherlands

Summary

Observations that are frequencies rather than measurements often call for special types of statistical analysis. This paper comments on circumstances in which methods for one type of data can sensibly be used for the other. A section on two-way contingency tables emphasizes the proper role of χ2 a test statistic but not a measure of association; it mentions the distinction between one-tail and two-tail significance tests and reminds the reader of dangers. Multiway tables bring new complications, and the problems of interactions when additional classificatory factors are explicit or hidden are discussed at some length. A brief outline attempts to show how probit, logit, and similar techniques are related to the analysis of contingency tables. Finally, three unusual examples are described as illustrations of the care that is needed to avoid jumping to conclusions on how frequency data should be analysed.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1989

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