Applied Linear Statistical Models, Part 4 - Class Notes
From Applied Linear Statistical Models, by Michael Kutner, Christopher Nachtsheim, John Neter, and William Li (McGraw Hill, 2005)
Copies of the classnotes are on the internet in PDF format as given below. The notes and supplements may contain hyperlinks to posted webpages; the links appear in red fonts. The "Proofs of Theorems" files were prepared in Beamer. The "Printout of Proofs" are printable PDF files of the Beamer slides without the pauses. These notes have not been classroom tested and may have typographical errors.
"Applied Linear Statistical Models" is not a formal class at ETSU, but the material here might overlap some with the Statistical Methods sequence (STAT 5710 and 5720). The book and these notes are broken into six parts. Links to the parts are given on my main Applied Linear Statistical Models webpage.
PART FOUR. DESIGN AND ANALYSIS OF SINGLE-FACTOR STUDIES
Chapter 15. Introduction to the Design of Experimental and Observational Studies.
- 15.1. Experimental Studies, Observational Studies, and Causation.
- 15.2. Experimental Studies: Basic Concepts.
- 15.3. An Overview of Standard Experimental Designs.
- 15.4. Design of Observational Studies.
- 15.5. Case Study: Paired-Comparison Experiment.
- 15.6. Concluding Remarks.
- Study Guide 15.
Chapter 16. Single-Factor Studies.
- 16.1. Single-Factor Experimental and Observational Studies.
- 16.2. Relation between Regression and Analysis of Variance.
- 16.3. Single-Factor ANOVA Model.
- 16.4. Fitting of ANOVA Model.
- 16.5. Analysis of Variance.
- 16.6. F Test for Equality of Factor Level Means.
- 16.7. Alternative Formulation of Model.
- 16.8. Regression Approach to Single-Factor Analysis of Variance.
- 16.9. Randomization Tests.
- 16.10. Planning of Sample Sizes with Power Approach.
- 16.11. Planning of Sample Sizes to Find "Best" Treatment.
- Study Guide 16.
Chapter 17. Analysis of Factor Level Means.
- 17.1. Introduction.
- 17.2. Plots of Estimated Factor Level Means.
- 17.3. Estimation and Testing of Factor Level Means.
- 17.4. Need for Simultaneous Inference Procedures.
- 17.5. Tukey Multiple Comparison.
- 17.6. Scheffe Multiple Comparison Procedure.
- 17.7. Bonferroni Multiple Comparison Procedure.
- 17.8. Planning of Sample Sizes with Estimation Approach.
- 17.9. Analysis of Factor Effects when Factor Is Quantitative.
- Study Guide 17.
Chapter 18. ANOVA Diagnostics and Remedial Measures.
- 18.1. Residual Analysis.
- 18.2. Tests for Constancy of Error Variance.
- 18.3. Overview of Remedial Measures.
- 18.4. Weighted Least Squares.
- 18.5. Transformations of Response Variable.
- 18.6. Effects of Departures from Model.
- 18.7. Nonparametric Rank F Test.
- 18.8. Case Example - Heart Transplant.
- Study Guide 18.
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