Assignment 1. Read Chapter 15, 
Introduction to the Design of Experimental and Observational Studies. 
Work exercises 15.3, 15.5, 15.6, 15.7, 15.9, 15.14, 15.19, 15.20, 
15.22, and 15.23. 

Assignment 3. Read Chapter 17 and work problems 17.1, 17.2, 
17.3, 17.4, 17.5, 17.6, 17.7, 17.10, and 17.15.

Exam Links

• Links to sample exams

Review of Some Topics in Mathematical Statistics

• Review of Basic Probability Rules
• Bonferroni Inequality
• Random variables: distribution functions and properties
• Mathematical Expectation
• Some Prominent Probability Densities
• Some Distribution Relationships
• Hypothesis Test Terminology
• Notes on confidence intervals
• Notes on F test in ANOVA

Experimental Design Terminology

• A glossary of DOE terminology (from NIST)
• Statistics glossary - design of experiments and ANOVA (from STEPS)
• Some terminology in experimental design (Yale)
• Introduction to Some Experimental Design Terminology (from Dan Nettleton, Iowa State)
• Glossary - experimental design (from MIC Quality)
• Randomization schemes(Society for Clinical Trials)

Single Factor Studies

• One Factor ANOVA Model (fixed factor levels)
• Partitioning the Sum of Squares
• Example of partitioning the total sum of squares
• One Factor ANOVA Example (Golf Balls)
• Single factor ANOVA example (paints)
• Assessing model assumptions
• Assessing normality
• Anderson-Darling test for normality (Wikipedia)
• Test for homoscedasticity; transformations
• Random factor effects model and example
• Kruskal-Wallis test - a nonparametric alternative to single factor ANOVA
• Single Factor with Binary Response
• Minitab simulation macro for two proportions test
• Estimating Contrasts and Some Methods for Multiple Comparisons

Multiple Comparison Links

• Tukey's Method (NIST)
• Scheffe's Method (NIST)
• Bonferroni Method (NIST)
• Comparing Means with a Control - Dunnett's test (David Lane, Hyperstat)

Two Factor ANOVA

• Two factor models and parameter estimators
• Two Way Anova examples with answers (L Woolf, Webster Univ.)
• Two way ANOVA example (Richland CC)
• Two way ANOVA example (from Stanford)
• Two way ANOVA tutorial with example (Thomas McFarland)
• Two way model and calculations with example (NIST)
• Notes on two way ANOVA (U. of Wisconsin, Stevens Point)

Randomized Block Design

• Notes on a one-factor block design
• Example of one-factor block design
• Randomized block designs (NIST)
• Randomized block design power point presentation (Univ. of Saskatchewan)
• Random block design worksheet 1
• Nonparametric Friedman test
• Cochran's nonparametric test (for binary data)
• AP Statistics Tutorial on Experimental Design
• Randomized block design (R Tutuorial)
• Randomized complete block design (NDSU)

Analysis of Covariance

• Analysis of covariance (from Newcastle University, UK)
• Analysis of covariance (Online handbook of biological statistics, John McDonald,Univ. of Delaware)
• One-way analysis of covariance (Jennings, Purdue)

ANOVA Applets

• One-Way ANOVA Java applet (Monash University, Australia)
• One way ANOVA applet (Rice University)
• ANOVA java applet (Kingsborough)
• JSE article - A Visualization Tool for 1 & 2 Way ANOVA, by Sturm-Beiss, re java applet above
• Simulating ANOVA tables - java applet (Rossman & Chance)
• One-way ANOVA applet (W.H. Freeman)
• Two-way ANOVA applet (Rice University)
• Unequal n ANOVA applet (Onlinestatbook)
• Java applets for power and sample size (U. of Iowa)

Links to Further Notes