Lecture: 3 hours
Discussion/Laboratory: 1 hour
Basics of experimental design. One-way and two-way fixed effects analysis of variance models. Randomized complete and incomplete block design. Multiple comparisons procedures. One-way random effects model.
Prerequisite: STA 013 or STA 032 or STA 100
Course goals are to develop facility in using analysis of variance to analyze the results of suitable designed experiments. A number of experimental designs are treated so that students also gain some knowledge of the designs available and their applicability and limitations.
Summary of course contents:
After completing the course successfully, students should be able to use the different kinds of experimental and observational designs, formulate the scientific question with such studies as Analysis of Variance problems and analyze the collected data with the use of statistical software, and be able to understand the methodological foundation of Analysis of Variance and have the prerequisite background for more advanced courses in linear models theory and methods.
Kutner, M.H., C.J. Nachtsheim, J. Neter and W. Li (2005). Applied Linear Statistical Models, 5th ed. McGraw-Hill, New York.
STA 106 is designed to give a comprehensive treatment of ANOVA methodology and its applications. There is minor potential overlap with the contents of the introductory courses STA 100 and STA 102, which cover the basics of ANOVA (typically on the order of three lectures per quarter are spent on this). There is also minor potential overlap with STA 130A, 130B, STA 131C and MAT 135, which deal with general probability theory and mathematical statistics. Mathematical results derived in theses courses may be specialized to obtain corresponding statements for the ANOVA setting. However, neither of these courses covers statistical aspects of ANOVA.