Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

More on the means comparison with unequal variances problem

M H Ames1

  • 1Marion Merrell Dow Inc., Department of Statistics, Kansas City, Missouri 64134-0627, USA.

Journal of Biopharmaceutical Statistics
|May 1, 1996
PubMed
Summary

This study compares statistical methods for comparing two means with unequal variances. Scheffe's exact solution is presented alongside Satterthwaite's approximate method, revealing an interesting relationship between them.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Multimechanistic (sumatriptan-naproxen) early intervention for the acute treatment of migraine.

Neurology·2008
Same author

Reliability and validity of the Beck Depression Inventory for a white and Mexican-American gerontic population.

Psychological reports·1989
See all related articles

Area of Science:

  • Statistics
  • Statistical inference
  • Hypothesis testing

Background:

  • Comparing means from normal populations often assumes equal variances.
  • Unequal variances present a challenge for standard statistical tests.
  • Existing methods include the t-statistic (assuming equal variances) and Satterthwaite's approximate statistic.

Purpose of the Study:

  • To present Scheffe's exact solution for comparing two means with unequal variances.
  • To contrast the behavior of different statistical approaches.
  • To explore the relationship between Scheffe's and Satterthwaite's solutions.

Main Methods:

  • Comparison of statistical methods for analyzing variance.
  • Analysis of the t-statistic under unequal variances.
  • Application of Scheffe's exact solution and Satterthwaite's approximate t-statistic.

Main Results:

  • Scheffe's method provides an exact solution for comparing means with unequal variances.
  • The behavior of the standard t-statistic is contrasted with Satterthwaite's and Scheffe's methods.
  • An unexplored relationship between Scheffe's and Satterthwaite's solutions is identified.

Conclusions:

  • Scheffe's exact solution is valuable for general analysis of variance problems with unequal variances.
  • Understanding the relationship between these methods enhances statistical practice.
  • The study highlights the importance of considering variance assumptions in hypothesis testing.

Related Experiment Videos