Connexions

Sections
You are here: Home » Content » F Distribution and ANOVA: The F Distribution And The F Ratio

About: F Distribution and ANOVA: The F Distribution And The F Ratio

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

View content

Metadata

Name: F Distribution and ANOVA: The F Distribution And The F Ratio
ID: m17076
Language: English (en)
Summary: This module describes how to calculate the F Ratio and F Distribution based on the hypothesis test for the ANOVA.
Subject: Mathematics and Statistics
Keywords: alternate hypothesis, ANOVA, degrees of freedom, F Distribution, F Ratio, hypothesis test, means square, null hypothesis, One-Way Analysis of Variance, population, sample, Sir Ronald Fisher, statistics, sum of squares, variance
License: Creative Commons Attribution License CC-BY 2.0
Authors: Susan Dean (deansusan@deanza.edu), Barbara Illowsky, Ph.D. (illowskybarbara@deanza.edu)
Copyright Holders: Maxfield Foundation (cnx@cnx.org)
Maintainers: Susan Dean (deansusan@deanza.edu), Barbara Illowsky, Ph.D. (illowskybarbara@deanza.edu), Connexions (cnx@cnx.org)
Latest version: 1.7 (history)
First publication date: Jun 23, 2008 2:40 pm GMT-5
Last revision to module: Feb 5, 2009 6:35 pm US/Central
Module XML: m17076_1.7.cnxml

Version History

Version: 1.7 Feb 5, 2009 6:35 pm US/Central by Susan Dean
Changes: 
F Distribution and ANOVA: The F Distribution And The F Ratio:  Expanded the section to include all the formulas needed to derive the F-Ratio formula.  In "Notation", corrected m to be "mu" in the formula for the mean.
Version: 1.6 Feb 5, 2009 2:00 pm US/Central by Susan Dean
Changes: 
F Distribution and ANOVA: The F Distribution And The F Ratio:  Added a NOTE explaining that the hypothesis of equal means implies that the populations have the same normal distribution because it is also assumed that the populations are normal and that they have equal variances.
Version: 1.5 Oct 27, 2008 3:10 pm GMT-5 by James Cooper
Changes: 
roles updated
Version: 1.4 Jul 15, 2008 11:00 am GMT-5 by Connexions
Changes: 
updated metadata
Version: 1.3 Jul 7, 2008 5:58 pm GMT-5 by Connexions
Changes: 
post review updates
Version: 1.2 Jul 1, 2008 1:58 am GMT-5 by Jonathan Emmons
Changes: 
Updated for consistency within collection
Version: 1.1 Jun 26, 2008 3:29 pm GMT-5 by Connexions
Changes: 
Inital publication

How to Reuse and Attribute This Content

If you derive a copy of this content using a Connexions account and publish your version, proper attribution of the original work will be automatically done for you.

If you reuse this work elsewhere, in order to comply with the attribution requirements of the license (CC-BY 2.0), you must include

  • the authors' names: Susan Dean, Barbara Illowsky
  • the title of the work: F Distribution and ANOVA: The F Distribution And The F Ratio
  • the Connexions URL where the work can be found: http://cnx.org/content/m17076/1.7/

See the citation section below for examples you can copy.

How to Cite and Attribute This Content

The following citation styles comply with the attribution requirements for the license (CC-BY 2.0) of this work:

American Chemical Society (ACS) Style Guide:

Dean, S.; Illowsky, B. F Distribution and ANOVA: The F Distribution And The F Ratio, Connexions Web site. http://cnx.org/content/m17076/1.7/, Feb 5, 2009.

American Medical Assocation (AMA) Manual of Style:

Dean S, Illowsky B. F Distribution and ANOVA: The F Distribution And The F Ratio [Connexions Web site]. February 5, 2009. Available at: http://cnx.org/content/m17076/1.7/.

American Psychological Assocation (APA) Publication Manual:

Dean, S., & Illowsky, B. (2009, February 5). F Distribution and ANOVA: The F Distribution And The F Ratio. Retrieved from the Connexions Web site: http://cnx.org/content/m17076/1.7/

Chicago Manual of Style (Bibliography):

Dean, Susan, and Barbara Illowsky. "F Distribution and ANOVA: The F Distribution And The F Ratio." Connexions. February 5, 2009. http://cnx.org/content/m17076/1.7/.

Chicago Manual of Style (Note):

Susan Dean and Barbara Illowsky, "F Distribution and ANOVA: The F Distribution And The F Ratio," Connexions, February 5, 2009, http://cnx.org/content/m17076/1.7/.

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

Dean, S., & Illowsky, B. 2009. F Distribution and ANOVA: The F Distribution And The F Ratio. Connexions, February 5, 2009. http://cnx.org/content/m17076/1.7/.

Modern Languages Association (MLA) Style Manual:

Dean, Susan, and Barbara Illowsky. F Distribution and ANOVA: The F Distribution And The F Ratio. Connexions. 5 Feb. 2009 <http://cnx.org/content/m17076/1.7/>.