Question 1 How many independent variables are in a 4 x 6 factorial design? How many conditions (cells) are in this design?
Question 2 what is the difference between a complete factorial design and an incomplete factorial design?
Question 3 Explain the difference between a two-way ANOVA and a three-way ANOVA.
Question 4 Complete each of the following ANOVA summary tables. In addition, answer the following questions for each of the ANOVA summary tables: a. What is the factorial notation? 2x 3 b. How many conditions were in the study? c. How many subjects were in the study? d. Identify significant main effects and interaction effects.
|
Source
|
df
|
SS
|
MS
|
F
|
|
A
|
1
|
60
|
|
|
|
B
|
2
|
40
|
|
|
|
A x B
|
2
|
90
|
|
|
|
Error
|
30
|
|
|
|
|
Total
|
35
|
390
|
|
|
|
Source
|
df
|
SS
|
MS
|
F
|
|
A
|
2
|
40
|
|
|
|
B
|
3
|
40
|
|
|
|
A x B
|
6
|
150
|
|
|
|
Error
|
72
|
|
|
|
|
Total
|
83
|
390
|
|
|
|
Source
|
df
|
SS
|
MS
|
F
|
|
A
|
1
|
10
|
|
|
|
B
|
1
|
60
|
|
|
|
A x B
|
1
|
20
|
|
|
|
Error
|
36
|
|
|
|
|
Total
|
39
|
150
|
|
|
A researcher is attempting to determine the effects of practice and gender on a timed task. Participants in an experiment are given a computerized search task. They search a computer screen of various characters and attempt to find a particular character on each trial. When they find the designated character, they press a button to stop a timer. Their reaction time (in seconds) on each trial is recorded. Subjects practice for 2, 4, or 6 hours and are either female or male. The reaction time data for the 30 subjects appear here.
2 hours:
|
Women
|
Men
|
|
12
|
11
|
|
13
|
12
|
|
12
|
13
|
|
11
|
12
|
|
11
|
11
|
|
|
|
4hours:
|
Women
|
Men
|
|
10
|
8
|
|
10
|
8
|
|
10
|
10
|
|
7
|
9
|
6 hours:
|
Women
|
Men
|
|
7
|
5
|
|
5
|
6
|
|
7
|
8
|
|
6
|
6
|
|
7
|
8
|
|
Source
|
df
|
SS
|
MS
|
F
|
|
Gender
|
|
0.027
|
|
|
|
Practice
|
|
140.60
|
|
|
|
Practice x Gender
|
|
0.073
|
|
|
|
Error
|
|
28.00
|
|
|
|
Total
|
|
168.70
|
|
|
c. What conclusions can be drawn from the F-ratios?
d. What is the effect size, and what does this mean?
e. Graph the means.
4. What is a factor? How can the use of factors benefit a design?
5. Explain main effects and interaction effects.
7. Describe and explain three trade-offs present in experiments.