Mathematics 4803 Analysis of Variance

Professor Karen H. Smith

Office Boyd 313

Office Hours Mon. 10:00-11:00 a.m. 1:00 2:00 p.m.

Tu. 12:15 3:15

Thur. 12:15 4:15

Text Applied Linear Statistical Models 5th ed.

By John Neter, Michael Kutner, Chris Nachtsheim, William Li

 

Description

The purpose of this course is to learn when, why, and how analysis of variance statistical testing is used. Random and fixed effects ANOVA models will be studied extensively using the statistical software Minitab. Multiple comparison methods such as Bonferroni, Scheffe, and Tukey will be used.

 

Learning Outcomes

 

Students will be able to recognize the various ANOVA models and when they are appropriate.

 

Students will analyze ANOVA models to determine if they satisfy the assumptions of valid models.

 

Students will identify the appropriate multiple comparison method needed according to the information desired.

 

Students will utilize residual analysis to detect departures from ANOVA assumptions

 

 

Material Covered Chapters 16-21

 

Topics Covered

 

Single factor ANOVA model

Estimation and testing of factor level effects

Tukey, Scheffe, and Bonferroni multiple comparison procedures

Residual Analysis

Tests for constant variance

Overview of remedial measures

Two-Factor analysis of variance

Analysis of factor effects in two-factor studies

Two-factor studies-one case per treatment

 

 

 

 

 

Assessment

 

Three Exams 75%

Final 25%

 

Students may elect to complete a project consisting of 1 or more problems at the end of each chapter that relate to a specific data set in the appendix. The project grade will be used to replace any exam grade that is lower than the project grade. The project is due the last class meeting.