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Shapiro-Wilk test

Explanations > Social Research > Analysis > Shapiro-Wilk test

Description | Discussion | See also

Description

The Shapiro-Wilk test compares a set of measures against the Normal distribution.

The test statistic is calculated as:

W = (SUM(a_ix_i))² / SUM(x_i - x-bar)

where: a_i is a constant based on the
x is the set of measures to assess, and x-bar is the mean of these measures.

If W is not small, then a Normal distribution may be concluded.

Discussion

Shapiro-Wilk may be used before Parametric tests, to ensure the data being used has a Normal distribution.

Shapiro-Wilk is an improvement on the more general Kolmogorov-Smirnov curve-fitting algorithm.

See also

Shapiro, S. S. and Wilk, M. B. (1965). "An analysis of variance test for normality (complete samples)", Biometrika, 52, 3 and 4, pages 591-611.

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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 |

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

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 |

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