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1146/annurev.publheath. 23. 100901. 140546 Copyright c 2002 by Annual Reviews. All rights reserved THE IMPORTANCE OF THE NORMALITY ASSUMPTION IN LARGE PUBLIC HEALTH DATA SETS Thomas Lumley Paula Diehr Scott Emerson and Lu Chen Department of Biostatistics University of Washington Box 357232 Seattle Washington 98195 e-mail tlumley u. Percept. Motor. Skill. 74 835 44 P1 FRK March 4 2002 Annual Reviews AR153-FM Volume 23 2002 CONTENTS EPIDEMIOLOGY AN.

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The normality assumption is more important when the two groups have small sample sizes than for larger sample sizes. Normal distributions are symmetric, which means they are “even” on both sides of the center. Normal distributions do not have extreme values, or outliers.

The normality assumption means that the collected data follows a normal distribution, which is essential for parametric assumption. Most statistical programs basically support the normality test, but the results only include P values and not the power of the normality test.

For continuous data, testing of normality is very important because based on the normality status, measures of central tendency, dispersion, and selection of parametric/nonparametric test are decided.

With large enough sample sizes (> 30 or 40), the violation of the normality assumption should not cause major problems (4); this implies that we can use parametric procedures even when the data are not normally distributed (8).

It is important for data in each group being compared to exhibit characteristics of normality. Because parametric tests compare means between data groups, the means must be a faithful representation of the data. Parametric tests' p values will only be valid when the data exhibit a normal distribution.

Making this assumption enables us to derive the probability distribution of OLS estimators since any linear function of a normally distributed variable is itself normally distributed. Thus, OLS estimators are also normally distributed. It further allows us to use t and F tests for hypothesis testing.

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Form Packages
Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232