STAT 230: Analysis of Variance
Instructor
William F. Christensen
E-mail: william@stat.byu.edu
Phone Number: 801-422-7057
Office Location: 237 TMCB
Office Hours: See Learning Suite
Course Description:
Scientific method, statistical thinking, sources of variation, completely randomized design, ANOVA, power and sample size consideration, multiple testing, randomized complete blocks, factirial designs, interatctions. Introduction to statistical software.
Prerequisite:
Introductory Statistics (Stat 121, 151, 201, 301, or a "4" or higher on AP Statistics Exam)
Course Learning Outcomes:
A student completing Stat 230 will be able to:
- Define the experimental unit, response variable, factor(s), and level(s) of a basic experiment.
- Understand the role of randomization and replication in inferring causation.
- Perform a completely randomized design and construct the ANOVA table in SAS and R.
- Compute the minimum number of replicates in a completely randomized design to achieve a given level of power.
- Compute pairwise tests of differences in means in SAS and R to understand a significant overall F-test.
- Perform a randomized complete block design and construct the ANOVA table in SAS and R.
- Perform a factorial design and construct the ANOVA table in SAS and R.
- Explain a statistically significant interaction.
- Describe the differences between a split plot and a two-way ANOVA.
- Work in teams to write a technical report and make a technical presentation of a designed experiment.
Course Materials:
*Textbook: Introduction to Design and Analysis of Experiments (We'll call it "Cobb")
by George W. Cobb, Wiley
*Lecture Notes: Lecture Notes are available below.
- Stat 230 Formula Sheet
- Stat 121 Formula Sheet (for HW1)
- Tables
- Stat 230 Sec 0 (available now)
- Stat 230 Sec 1 (available now)
- Stat 230 Sec 3 (available now)
- Stat 230 Sec 5 (available now)
- Stat 230 Sec 6 (available now)
- Stat 230 Sec 7 (available now)
- Stat 230 Sec 11 (available now)
- Practice Midterm #1
- Practice Midterm #1 (Answer Key)
- Midterm #2 Review
- Final Exam Review
- Final Exam Practice Question
* Software: You will be using R and SAS for this course…we’ll introduce them gradually, but not at all like slow poisoning. R and SAS are available on all department machines, but you are also encouraged to install them on your personal computer.
- R: R is free and can be downloaded by following the instructions at http://cranr.project.org/. (See the links under “Download and Install R” to choose the correct version for your operating system. Several summaries of R commands are available online (see e.g., http://www.personality-project.org/r/r.commands.html).
- SAS: SAS is a commercial product but is available to BYU students to use on their personal computers while they are students. Bring your laptop in to the Statistics Department’s CSRs to have it installed.
Grading
Your semester grade will be determined as follows:
| Midterm #1 | 15% | TBA |
|---|---|---|
| Midterm #2 | 20% | TBA |
| Final Exam | 30% | TBA |
| Homework | 15% | Mostly textbook and textbook-like problems |
| Term Project | 20% | Design, execution, and analysis of an experiment; report |
Tentatice Schedule & Textbook Sections
| Lecture number | TOPIC & READING ASSIGNMENT (reading in Cobb to be completed in advance) | Homework, Project, & Exam |
|---|---|---|
| (#1) | Syllabus & Intro | |
| (#2) | Section 0: "Stat 121 on Steroids" | |
| (#3) | (continued) | |
| (#4) | (continued) | HW#1(Stat 121 Review) |
| (#5) | (continued) | |
| (#6) | (continued) | |
| (#7) | (continued) | HW#2: 1-12 from Master HW File |
| (#8) | Section 1: Intro to Experimental Design --Planning an Experiemtn (1.1,4.1-4.3) | |
| (#9) | (continued) | |
| (#10) | (continued) | HW#3: 13-24 from Master HW File |
| (#11) | --Principles of experimentation and Experimental designs (1.2-1.3) | |
| (#12) | (continued) | |
| (#13) | Catch up/Review Day | |
| (#14) | Section 3: ANOVA --Model, data decomposition, components of variance (2.1, 2.2, 2.4, 3.1-3.3, 3.A1) | HW#4: 25-37 from Master HW File |
| (#15) | (continued) | Midterm #1 |
| (#16) | (continued) | |
| (#17) | (continued) | |
| (#18) | --Hypothesis testing and confidence intervals (3.4, 3.5) | |
| (#19) | (continued) | HW#5:38-46 from Master HW File |
| (#20) | Section 5: Randomization and the Basic Factorial Design (5.1-5.4, 5.6) | |
| (#21) | (continued) | |
| (#22) | (continued) | HW#6: 47-55 from Master HW File |
| (#23) | (continued) | |
| (#24) | (continued) | |
| (#25) | (continued) | HW#7: 56-60 from Master HW File |
| (#26) | Section ^: Multi-way ANOVA aand Interactions (6.1-6.3, 6.5) | |
| (#27) | (continued) | |
| (#28) | (continued) | HW#8: 61-65 from Master HW File |
| (#29) | (continued) | |
| (#30) | (continued) | |
| (#31) | Catch up/Review Day | |
| (#32) | Section 7: Blocking (7.1-7.4, 7.7, 9.3) --CB[1] | HW#9: 66-69 from Master HW File |
| (#33) | --CB[2] | PROJECT must be approved |
| (#34) | --SP/RM | Midterm #2 |
| (#35) | (continued) | |
| (#36) | --LS[1] and LS[2] | |
| (#37) | (continued) | HW#10: 70-75 from Master HW Files |
| (#38) | Section 11: Comparisons and Contrasts (11.1, 11.2, 11.4) | |
| (#39) | (continued) | HW#11: 76-83 from Master HW File |
| (#40) | (continued) | |
| (#41) | (continued) | Term Project Due |
| (#42) | Catch up/Review Day | HW#12: 84-85 from Master HW File |
HW ASSIGNMENTS
Some HW policies: See Learning Suite
TERM PROJECT: See Learning Suite or click here
DATA
CLASSWXAMPLES
section7.sas (contains code for CB[1], CB[2], SP/RM[1;1], SP/RM[1;2], SP/RM[2;1], and LS[1] designs)
section7.R (contains code for CB[1] and CB[2])