Anova Midterm Exam Review

STAT 3119-10 Mid-Term Exam 3/7/2016 6:10pm – 7:30pm

Chap 15, 16, 17, 18, and 19 : sections of each chapters are indicated in the lecture notes

Lecture note 1-8

Homework problem

Quiz

SAS outputs

One page (8.5 x 11 in) sheet (one side only) of handwritten notes (no examples)

Calculator

Probability distribution table will be provided if needed

• Understand and be able to identify the following terminology

Categorical/qualitative variable

Quantitative variable

Experimental and observational design

Factor/factor level

Treatment/Treatment combination

Experimental unit

Balanced design

Randomization

Control group

Source of variations

Linear model

Indicator variable

ANOVA table decomposition

Interpreting SAS output with respect to 1-way and 2-way ANOVA model

Interpret data plots to identify visual differences between groups

Understand the cell means model and the factor effects model: parameters and estimates

Compute parameter estimates for cell means/factor effects model given a table of means

Conduct the F-test for testing the equality of factor level means

Compute CI’s for differences between means

Multiple comparison methods: LSD, Tukey, Bonferroni, and Scheffe

Diagnostics of model assumptions and remedial measures: three key assumptions on the error terms of ANOVA/ transformation methods

Residual analysis

Regression model corresponding to ANOVA model

Review problems: These are the minimum knowledge to get ready for the exam. You should study thoroughly text book material and lecture notes to be well prepared for the exam.

1. Indicate how you would check that the three key assumptions on the error terms for ANOVA model are satisfied.

2. Conducting the one-way ANOVA for the following data, write the cell means and factor effects model and the corresponding parameter estimates.

Factor level size mean

1 5 12

2 5 10

3 5 15

4 5 8

3. How...