changingminds.org

How we change what others think, feel, believe and do

| Menu | Quick | Books | Share | Search | Settings |

Variance homogeneity test

 

Explanations > Social ResearchAnalysis > Variance homogeneity test

Description | Example | Discussion | See also

 

Description

Homogeneity of variance occurs where variance across multiple samples, possibly in different conditions, is similar.

To test for the homogeneity of a set of variances:

  • Divide the largest by the smallest to give an F-ratio.
  • Select the cell in the table below to represent your experiment
    • (note: degrees of freedom = number of samples - 1)
  • If the F-ratio is less than the value in the selected cell, then it is safe to assume that variances are homogeneous.
Degrees of freedom

Number of groups / treatments

2 3 4 5 6 7 8 9 10 11 12
2 39.0 87.5 142 202 266 333 403 475 550 626 704
3 15.4 27.8 39.2 50.7 62.0 72.9 83.5 93.9 104 114 124
4 9.6 15.5 20.6 25.2 29.5 33.6 37.5 41.1 44.6 48.0 51.4
5 7.2 10.8 13.7 16.3 18.7 20.8 22.9 24.7 26.5 28.2 29.9
6 5.82 8.38 10.4 12.1 13.7 15.0 16.3 17.5 18.6 19.7 20.7
7 4.99 6.94 8.44 9.70 10.8 11.8 12.7 13.5 14.3 15.1 15.8
8 4.43 6.00 7.18 8.12 9.03 9.78 10.5 11.1 11.7 12.2 12.7
9 4.03 5.34 6.31 7.11 7.80 8.41 8.95 9.45 9.91 10.3 10.7
10 3.72 4.85 5.67 6.34 6.92 7.42 7.87 8.28 8.66 9.01 9.34
12 3.28 4.16 4.75 5.30 5.72 6.09 6.42 6.72 7.00 7.25 7.43
15 2.86 3.54 4.01 4.37 4.68 4.95 5.19 5.40 5.59 5.77 5.95
20 2.46 2.95 3.29 3.54 3.76 3.94 4.10 4.24 4.37 4.49 4.59
30 2.07 2.40 2.61 2.78 2.91 3.02 3.12 3.21 3.29 3.36 3.39
60 1.67 1.85 1.96 2.04 2.11 2.17 2.22 2.26 2.30 2.33 2.36
very large 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00 1.00

 

Example

Variances from a set of three samples are 3.44, 8.82 and 5.42. 8.82 / 3.44 = 2.56. Each group receives four treatments, and 2.56 is less than the value in the cell (142), so it is easily safe to assume homogeneity of variances. 

Discussion

Homogeneity of variances are a basic assumption of a number of statistical tests, including t-test and ANOVA.

Homogeneity can also be tested using Levene's test or Mauchly's test.

See also

t-test, ANOVA, Parametric vs. non-parametric tests

 

Site Menu

| Home | Top | Quick Links | Settings |

Main sections: | Disciplines | Techniques | Principles | Explanations | Theories |

Other sections: | Blog! | Quotes | Guest articles | Analysis | Books | Help |

More pages: | Contact | Caveat | About | Students | Webmasters | Awards | Guestbook | Feedback | Sitemap | Changes |

Settings: | Computer layout | Mobile layout | Small font | Medium font | Large font | Translate |

 

You can buy books here

More Kindle books:

And the big
paperback book


Look inside

 

Please help and share:

 

Quick links

Disciplines

* Argument
* Brand management
* Change Management
* Coaching
* Communication
* Counseling
* Game Design
* Human Resources
* Job-finding
* Leadership
* Marketing
* Politics
* Propaganda
* Rhetoric
* Negotiation
* Psychoanalysis
* Sales
* Sociology
* Storytelling
* Teaching
* Warfare
* Workplace design

Techniques

* Assertiveness
* Body language
* Change techniques
* Closing techniques
* Conversation
* Confidence tricks
* Conversion
* Creative techniques
* General techniques
* Happiness
* Hypnotism
* Interrogation
* Language
* Listening
* Negotiation tactics
* Objection handling
* Propaganda
* Problem-solving
* Public speaking
* Questioning
* Using repetition
* Resisting persuasion
* Self-development
* Sequential requests
* Storytelling
* Stress Management
* Tipping
* Using humor
* Willpower

Principles

* Principles

Explanations

* Behaviors
* Beliefs
* Brain stuff
* Conditioning
* Coping Mechanisms
* Critical Theory
* Culture
* Decisions
* Emotions
* Evolution
* Gender
* Games
* Groups
* Habit
* Identity
* Learning
* Meaning
* Memory
* Motivation
* Models
* Needs
* Personality
* Power
* Preferences
* Research
* Relationships
* SIFT Model
* Social Research
* Stress
* Trust
* Values

Theories

* Alphabetic list
* Theory types

And

About
Guest Articles
Blog!
Books
Changes
Contact
Guestbook
Quotes
Students
Webmasters

 

| Home | Top | Menu | Quick Links |

© Changing Works 2002-2016
Massive Content — Maximum Speed