Normal Distribution Tests

 

Google

Web This Site

Featured Article: Where to start...

Documents for quality control plans, internal audit plans, ISO 9001, ISO 9001:2000, management systems, mil-i-45208, QC manuals, quality control manuals, quality control systems, quality management systems, total quality management

Home
 
Construction
Manuals
Procedures
FAA
Forms
Kits
ISO 9001
Quality Plan

Helpful Links
 
Basics
Copyright
Link Directory
Link Exchange
Privacy
Resources
SPC Definitions
Stat Guide
Where-to-Start

Non-Tech Links
 
Cool Tool
Frustration
Inspiration
Opinion
Nonsense
Serious


Sponsored Links
 

 

Normal Distribution Tests


The Kolmogorov-Smirnov test, the Shapiro-Wilk test (for sample sizes up to 2000), Stephens' test (for sample sizes greater than 2000), D'Agostino's test for skewness, the Anscombe-Glynn test for kurtosis, and the D'Agostino-Pearson omnibus test can be used to test the null hypothesis that the population distribution from which the data sample is drawn is a Gaussian (normal) distribution.


Assumptions:

  • Within the sample, the values are independent, and identically distributed.
  • For the Kolmogorov-Smirnov test, the mean and variance of the hypothesized normal distribution should be specified in advance. If the mean and/or the variance must be estimated from the data, the Kolmogorov-Smirnov test becomes conservative, and thus less likely to reject the null hypothesis. The other normality tests listed above do not assume a specified mean or variance for the hypothesized normal distribution.

Guidance:

  • Ways to detect before performing the normality test whether your data violate any assumptions.
  • Ways to examine normality test results to detect assumption violations.
  • Possible alternatives if your data or normality test results indicate assumption violations.

To properly analyze and interpret results of normal distribution tests, you should be familiar with the following terms and concepts:

If you are not familiar with these terms and concepts, you are advised to consult with a statistician. Failure to understand and properly apply normal distribution tests may result in drawing erroneous conclusions from your data. Additionally, you may want to consult the following references:
  • Conover, W. J. 1980. Practical Nonparametric Statistics. 2nd ed. New York: John Wiley & Sons.
  • D'Agostino, R. B. and Stephens, M. A., eds. 1986. Goodness-of-fit Techniques. New York: Dekker.
  • Daniel, Wayne W. 1978. Applied Nonparametric Statistics. Boston: Houghton Mifflin.
  • Daniel, Wayne W. 1995. Biostatistics. 6th ed. New York: John Wiley & Sons.
  • Rosner, Bernard. 1995. Fundamentals of Biostatistics. 4th ed. Belmont, California: Duxbury Press.
  • Sokal, Robert R. and Rohlf, F. James. 1995. Biometry. 3rd. ed. New York: W. H. Freeman and Co.
  • Zar, Jerrold H. 1996. Biostatistical Analysis. 3rd ed. Upper Saddle River, NJ: Prentice-Hall.

 Examine the glossary.

Back to StatGuide home page.

Get Adobe to read our PDF evaluation docs.
 

Satisfaction Guaranteed
If you cannot edit At-PQC™ document(s) with your MS Office, OpenOffice or compatible cloud software program, we will fix it or refund your purchase.

Can't find what you're looking for...?
Please call, Fax or Email Us at:

Cell-Phone Support 6:00am to 6:00pm.

Home Page

Click here to bookmark At-PQC™ then visit our Toolbox to find a quality control plan that will help you achieve an effective and efficient business infrastructure that focuses on customer satisfaction, continuous improvement and desirable cost savings. Visit with us today for comprehensive assistance in developing or choosing the right quality control plan for your business. Click here to visit our extensive selection of quality control plans, policies, procedures and forms or click here for help with where-to-start.

 

We can interact with you anywhere in the USA from 6:00am to 6:00pm Monday through Friday except holidays.

JnF Specialties, LLC
664 Greenscape Lane
Colorado Springs, Colorado 80916

Cellphone Support 6:00am to 6:00pm.

Email Us at:

Send an email to request support or call our helpline during your office hours.

Click here to let us know how we're doing.

Get Adobe | About Us | Site Map | Contact Us | Privacy Policy
Policies | Procedures | FAA | Forms | Kits | ISO 9001 | Quality Plan

( quality control plan . com )