Experimental Design and Analysis
Syllabus
Spring Semester, 2009
Reference Text
Statistical Principles in Experimental Design (2nd Ed.)
by B. J. Winer,
Reading Material- Pages in Winer
Review of Elementary Statistics (pp.4-160)
Basic Terminology in Statistical Sampling and Estimation (pp.4-14)
Biased vs. unbiased
Expected value of a statistic
Sampling distribution
Standard Error of a Statisitic
Central limit theorem
Level of significance
Type I and type II errors
Power of a Statistical Test
Testing Hypothesis about Means (pp14-26)
Sigma assumed known
Sigma unknown
Interval estimation
Testing Hypotheses about the Differences Between Two Means (pp.26-54)
Outline of steps in an experiment
Testing for homeogeneity of variance
Test differences of means of random independent samples
Test differences of means of random dependent samples
Analysis of Variance (ANOVA) (pp149-160)
Logic behind the ANOVA
Completely randomized designs (CR-k)
definitions
symbolization
formula derivation
The Design of Experiments (pp.309-319, 431-445,452-465)
Criteria for a Good Experimental Design (p150)
Completely Randomized Factorial Designs (CRF-pqr...)
Derivation of formulas for SS and df
Comparative advanatages and disadvantagesof the CR-k and CRF-pqr...designs.
Randomized Block Designs, RB-k (pp.261-267).
General purpose
Derivation of computational formulas
Structural models
Estimated means of squares
Advantages and disadvantages of design
Randomized Block Factorial Designs, RBF-pqr...(p514-18)
Purpose
Assumptions
Derivation of computational formulas
Expected values of mean squares
Advantages and disadvantages
Split-Plot Factorial Designs SPF-pq.rs..(pp514-571)
General Purpose (pp514-518)
Case II (pp559-571)
structural model
computational formulas
Generalization to all other designs
Advantages and disadvantages of model
Hierachal Designs, CRH-p(q)(r)...(pp-359-366;464-468)
Purpose and use
Examples
Computational; proceedures
Structural Models
Generalization to all cases
Partial Hierarchal Designs, CROH-p(q)r (pp.464-468)
Examples
Computational proceedures
Structural Model
Estimated mean Square
Multiple Comparisons Following ANOVA
F-tests (pp30, 145,545, and 563-567)
Tukey's Test (p.198)
Scheffe's Test
Test for Trends (pp.177-182)
Additional Designs
Latin Squares (pp685-700)
Greco Latin Squares (pp 709-711)
Covariance Design, ANCOVA (755-778)
Terminology
General Purpose
Computational proceedures
Distinguishing designs
Lecture Topics
1. Definitions and Concepts – January 15
2. Testing Hypothesis – January 20
3. 1-way ANOVA – January 22
4. 2-way ANOVA Terminology – January 27
5. 2-way ANOVA Procedures – February 03
6. Multifactor ANOVA's – February 10
7. Expected Mean Squares – February 12
8. Randomized Block Des. – February 17
9.
10. SP- Procedures – February 24
11. SP-Procedures – February 26
12. Hierarchal Designs – March 10
13. Nested Factors – March 12
14. Individual Comparisons – March 17
15. Individual Comparisons – March 19
16. Individual Comparisons – March 24
17. Individual Comparisons – March 26
18. Tests for Trends – April 7
19. CRF & Added Controls – April 9
22. ANCOVA Terminology & Procedures – April 23
Grading
Course grades will be assigned according to the following levels of achievement
Course Grade Percentage Points
Course
Grade
Percentage Points
A 92.6-100
A- 90-92.5
B+
87.6-89.9
B
82.6-87.5
B-
80.0-82.5
C+
77.6-79.9
C
72.6-77.5
C-
70.0-72.5
D+
67.6-69.9
D
62.6-67.5
D-
60.0-62.5
F
59.9 and Below
Grades will be based on written in-and-out-of-class assignments and class participation. In-class written assignments will be due at the end of the class period. Other written assignments, except for the final analysis, will be due one week after they are assigned. All errors in written assignments should be corrected so that you have a complete set of notes.
Academic honesty Policy
The policy on academic honesty as stated in the Student
Handbook will be followed. According to the Student Handbook, Academic dishonesty refers to "any
unacknowledged use or misappropriation of material, as in the cases of cheating
or plagiarism."
Additional Information
1. Office Information
a. Office hours: 10:00-12:00, (M&W): other times by appointment
b. Office Location: Fisher Science Bldg. Room 10
c. Office Phone: 4388