Assignment:
1. Assume that head injury measurements are not affect by an interaction between type of car (foreign, domestic) and size of car (small, medium, large). Is there sufficient evidence to support the claim that size of the car has an effect on head injury measurements?
Use display 1 which results from the head injury measurements from car crash dummies. The measurements are in hic (head injury criterion) units, and they are from the same cars used in the display 2. Use a 0.05 significance level to test the given claim.
DISPLAY 1
Source SS DF MS F P-value F crit
Sample 34061 1 34060.5 2.25 0.159 4.7472
Columns 13255 2 6627.4 0.44 0.655 3.8853
Interaction 42744 2 21372.2 1.41 0.281 3.8853
Written 181603 12 15133.6
Total 271663 17
DISPLAY 2
Small Medium Large
Foreign 44 41 32
Foreign 54 49 45
Foreign 43 47 42
Domestic 43 43 37
Domestic 44 37 38
Domestic 42 34 33
2. Assume that self-esteem measurements are not affected by an interaction between subject self-esteem and target self-esteem. Is there sufficient evidence to support the claim that the category of the target (low, high) has an effect on measures of self-esteem?
Use STATDISK display, which results from measures of self-esteem listed in the table below. The data is from Richard Lowry and is based on a student project at Vassar College supervised by Jannay Morrow. The objective of the project was to study how levels of self-esteem in subjects related to their perceived self-esteem in other target people who were described in writing. Self-esteem levels were measured using the Coopersmith Self-Esteem Inventory, and the test here works well even though the data is at the ordinal level of measurement. Use a 0.05 significance level to rest the given claim.
Subject's Self-Esteem
Low Medium High
4 4 3 3 3 1
3 5 3 4 3 3
Low 4 4 4 2 3 5
5 4 4 4 3 2
2 4 1 2 3 3
4 2 2 3 3 3
Target's Self-Esteem
2 2 4 3 3 2
4 2 1 2 3 2
2 3 1 3 3 4
High 2 4 2 4 3 4
2 2 3 1 4 3
2 3 1 4 3 4
STATDISK Source DF: SS: MS: Test Stat, F: Critical F: P-value:
Interaction 2 6.75 3.375 3.73 3.1359 0.0291
Row Variable 1 4.5 4.5 4.9777 3.9863 0.0291
Column Var. 2 2.8611 1.4306 1.5824 3.1359 0.2132