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Cited by 1,106

The DOI matches its Crossref record.

The $\chi^2$ Test of Goodness of Fit

Open access
Cochran, William G.·1952·The Annals of Mathematical Statistics
DOI 10.1214/aoms/1177729380
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Abstract

This paper contains an expository discussion of the chi square test of goodness of fit, intended for the student and user of statistical theory rather than for the expert. Part I describes the historical development of the distribution theory on which the test rests. Research bearing on the practical application of the test--in particular on the minimum expected number per class and the construction of classes--is discussed in Part II. Some varied opinions about the extent to which the test actually is useful to the scientist are presented in Part III. Part IV outlines a number of tests that have been proposed as substitutes for the chi square test (the $\omega^2$ test, the smooth test, the likelihood ratio test) and Part V a number of supplementary tests (the run test, tests based on low moments, subdivision of chi square into components).

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Metadata

Authors
Cochran, W. G.
Venue
The Annals of Mathematical Statistics
Publisher
Institute of Mathematical Statistics
Published
1952-09
Volume
23
Issue
3
Pages
315-345
ISSN
0003-4851 (ISSN-L)
DOI
10.1214/aoms/1177729380
OpenAlex
W2018913979
Cited by
1,106
References
0
FWCI
7.52
Type
journal article
Language
en
Open access
bronze

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.