Chi-Square Goodness-of-Fit Test

9 Pages Posted: 21 Oct 2008

See all articles by Phillip E. Pfeifer

Phillip E. Pfeifer

University of Virginia - Darden School of Business

Abstract

This note describese the chi-square statistic as applied to goodness-of-fit tests. Goodness-of-fit tests check to see how closely a sample matches a particular probability distribution (e.g., normal, Poisson, binomial).

Excerpt

UVA-QA-0692

Rev. Apr. 14, 2017

Chi-Square Goodness-of-Fit Test

This note describes the chi-square statistic as applied to “goodness-of-fit” tests. Goodness-of-fit tests check to see how closely a sample matches a particular probability distribution (e.g., normal, Poisson, binomial). While not the most sophisticated test, the chi-square test is easy to implement.

The Public Opinion Poll

A survey of randomly selected voters revealed that candidate B had a 5-point lead over candidate A and a 10-point lead over candidate C (Table 1). How much should we make of these differences given that the poll involved only 300 voters?

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Keywords: statistics, data analysis, management science

Suggested Citation

Pfeifer, Phillip E., Chi-Square Goodness-of-Fit Test. Darden Case No. UVA-QA-0692, Available at SSRN: https://ssrn.com/abstract=1284265

Phillip E. Pfeifer (Contact Author)

University of Virginia - Darden School of Business ( email )

P.O. Box 6550
Charlottesville, VA 22906-6550
United States
434-924-4803 (Phone)

HOME PAGE: http://www.darden.virginia.edu/faculty/Pfeifer.htm

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