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# About: The Chi-Square Distribution: Goodness-of-Fit Test

Module by: Susan Dean, Barbara Illowsky, Ph.D.. E-mail the authors

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 Name: The Chi-Square Distribution: Goodness-of-Fit Test ID: m17192 Language: English (en) Summary: This module describes how the chi-square distribution is used to conduct goodness-of-fit test. Subject: Mathematics and Statistics Keywords: chi, elementary, fit, good, square, statistics, test License: Creative Commons Attribution License CC-BY 3.0 Authors: Copyright Holders: Maintainers: Latest version: 1.8 (history) First publication date: Jul 5, 2008 2:16 pm +0000 Last revision to module: Jun 20, 2012 3:10 am +0000

 PDF: m17192_1.8.pdf PDF file, for viewing content offline and printing. Learn more. XML: m17192_1.8.cnxml XML that defines the structure and contents of the module, minus any included media files. Can be reimported in the editing interface. Learn more.

## Version History

 Version: 1.8 Jun 20, 2012 3:10 am +0000 by Changes: `The Chi-Square Distribution: Goodness-of-Fit Test: Changed Examples 1 and 2. Added additional calculator instructions. Added note about cell entry being at least 5. Did clean-up.` Version: 1.7 Feb 5, 2009 11:16 am +0000 by Changes: ```The Chi-Square Distribution: Goodness-of-Fit Test: Changed the sentence "The degrees of freedom are df = (number of columns - 1)(number of rows - 1)" to "The degrees of freedom are df = (number of categories - 1)."``` Version: 1.6 Oct 27, 2008 8:41 pm +0000 by Changes: `roles updated` Version: 1.5 Jul 14, 2008 5:09 pm +0000 by Changes: `removed image width params from media tags` Version: 1.4 Jul 9, 2008 3:49 pm +0000 by Changes: `table corrections` Version: 1.3 Jul 8, 2008 7:40 pm +0000 by Changes: `post review edits` Version: 1.2 Jul 7, 2008 5:26 pm +0000 by Changes: `post review updates` Version: 1.1 Jul 5, 2008 2:43 pm +0000 by Changes: `Initial publication`

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## How to Cite and Attribute This Content

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### American Chemical Society (ACS) Style Guide:

Dean, S.; Illowsky, B. The Chi-Square Distribution: Goodness-of-Fit Test, OpenStax-CNX Web site. http://cnx.org/content/m17192/1.8/, Jun 19, 2012.

### American Medical Assocation (AMA) Manual of Style:

Dean S, Illowsky B. The Chi-Square Distribution: Goodness-of-Fit Test [OpenStax-CNX Web site]. June 19, 2012. Available at: http://cnx.org/content/m17192/1.8/.

### American Psychological Assocation (APA) Publication Manual:

Dean, S., & Illowsky, B. (2012, June 19). The Chi-Square Distribution: Goodness-of-Fit Test. Retrieved from the OpenStax-CNX Web site: http://cnx.org/content/m17192/1.8/

### Chicago Manual of Style (Bibliography):

Dean, Susan, and Barbara Illowsky. "The Chi-Square Distribution: Goodness-of-Fit Test." OpenStax-CNX. June 19, 2012. http://cnx.org/content/m17192/1.8/.

### Chicago Manual of Style (Note):

Susan Dean and Barbara Illowsky, "The Chi-Square Distribution: Goodness-of-Fit Test," OpenStax-CNX, June 19, 2012, http://cnx.org/content/m17192/1.8/.

### Chicago Manual of Style (Reference, in Author-Date style):

Dean, S., & Illowsky, B. 2012. The Chi-Square Distribution: Goodness-of-Fit Test. OpenStax-CNX, June 19, 2012. http://cnx.org/content/m17192/1.8/.

### Modern Languages Association (MLA) Style Manual:

Dean, Susan, and Barbara Illowsky. The Chi-Square Distribution: Goodness-of-Fit Test. OpenStax-CNX. 20 June 2012 <http://cnx.org/content/m17192/1.8/>.