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# About: F Distribution and One-Way ANOVA: Purpose and Basic Assumptions of One-Way ANOVA

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

 Name: F Distribution and One-Way ANOVA: Purpose and Basic Assumptions of One-Way ANOVA ID: m17068 Language: English (en) Summary: This module describes the assumptions needed for implementing an One-Way ANOVA and how to set up the hypothesis test for the ANOVA. Subject: Mathematics and Statistics Keywords: alternate hypothesis, ANOVA, F Distribution, hypothesis test, null hypothesis, One-Way Analysis of Variance, population, sample, statistics, variance License: Creative Commons Attribution License CC-BY 3.0 Authors: Copyright Holders: Maintainers: Latest version: 1.10 (history) First publication date: Jun 23, 2008 2:20 pm +0000 Last revision to module: Jun 28, 2012 11:43 pm +0000

 PDF: m17068_1.10.pdf PDF file, for viewing content offline and printing. Learn more. XML: m17068_1.10.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: 1.10 Jun 28, 2012 11:43 pm +0000 by Changes: `F Distribution and One-Way ANOVA: Purpose and Basic Assumptions of One-Way ANOVA; Added graphs to help in the understanding of One-Way ANOVA.` Version: 1.9 Jun 28, 2012 3:13 pm +0000 by Changes: `Module: F Distribution and One-Way ANOVA: Purpose and Basic Assumptions of One-Way ANOVA: Added two more items to the assumptions.` Version: 1.8 Jun 28, 2012 2:09 pm +0000 by Changes: `F Distribution and One-Way ANOVA: Purpose and Basic Assumptions of One-Way ANOVA: Added One-Way to ANOVA.` Version: 1.7 Jun 27, 2012 7:21 pm +0000 by Changes: `F Distribution and One-Way ANOVA: Purpose and Basic Assumptions of One-Way ANOVA: Changed ANOVA to One-Way ANOVA.` Version: 1.6 Aug 12, 2011 9:45 am +0000 by Changes: `F Distribution and ANOVA: Purpose and Basic Assumption of ANOVA: Updated: Updated glossary item "Variance."` Version: 1.5 Oct 27, 2008 2:55 pm +0000 by Changes: `roles updated` Version: 1.4 Jul 15, 2008 10:52 am +0000 by Changes: `updated metadata` Version: 1.3 Jul 7, 2008 5:54 pm +0000 by Changes: `post review updates` Version: 1.2 Jul 1, 2008 1:41 am +0000 by Changes: `Updated for consistency within collection` Version: 1.1 Jun 26, 2008 3:20 pm +0000 by Changes: `Initial publication`

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## How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 3.0) of this work:

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

Dean, S.; Illowsky, B. F Distribution and One-Way ANOVA: Purpose and Basic Assumptions of One-Way ANOVA, OpenStax_CNX Web site. http://cnx.org/content/m17068/1.10/, Jun 28, 2012.

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

Dean S, Illowsky B. F Distribution and One-Way ANOVA: Purpose and Basic Assumptions of One-Way ANOVA [OpenStax_CNX Web site]. June 28, 2012. Available at: http://cnx.org/content/m17068/1.10/.

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

Dean, S., & Illowsky, B. (2012, June 28). F Distribution and One-Way ANOVA: Purpose and Basic Assumptions of One-Way ANOVA. Retrieved from the OpenStax_CNX Web site: http://cnx.org/content/m17068/1.10/

### Chicago Manual of Style (Bibliography):

Dean, Susan, and Barbara Illowsky. "F Distribution and One-Way ANOVA: Purpose and Basic Assumptions of One-Way ANOVA." OpenStax_CNX. June 28, 2012. http://cnx.org/content/m17068/1.10/.

### Chicago Manual of Style (Note):

Susan Dean and Barbara Illowsky, "F Distribution and One-Way ANOVA: Purpose and Basic Assumptions of One-Way ANOVA," OpenStax_CNX, June 28, 2012, http://cnx.org/content/m17068/1.10/.

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

Dean, S., & Illowsky, B. 2012. F Distribution and One-Way ANOVA: Purpose and Basic Assumptions of One-Way ANOVA. OpenStax_CNX, June 28, 2012. http://cnx.org/content/m17068/1.10/.

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

Dean, Susan, and Barbara Illowsky. F Distribution and One-Way ANOVA: Purpose and Basic Assumptions of One-Way ANOVA. OpenStax_CNX. 28 June 2012 <http://cnx.org/content/m17068/1.10/>.