How many independent variables are in 4 x 6 factorial design?
Question # 00026256
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Updated on: 09/20/2014 01:57 AM Due on: 09/20/2014
1. How many independent variables are in 4 x 6 factorial design? How many conditions (cells) are in the design?
2. What is the difference between a cell (condition) mean and the means used to interpret a main effect?
3. What is the difference between a complete factorial design and an incomplete factorial design?
4. Explain the difference between a two-way ANOVA and a three-way ANOVA.
5. 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?
b. How many conditions were in the study?
c. How many subjects were in the study?
d. Identify significant main effects and iteration 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 60
A x B 6 150
Error 72
Total 83 400
Source df SS MS F
A 1 10
B 1 60
A x B 1 20
Error 36
Total 39 150
6. A researcher is attempting to determine the effects of practice and gender on a timed task. Participants in an experience are given a computerized search 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 ins 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.
Women Men
2 Hours 12 11
13 12
12 13
11 12
11 11
Women Men
4 Hours 10 8
10 8
10 10
8 10
7 9
Women Men
6 Hours 7 5
5 6
7 8
6 6
7 8
Source df SS
Gender 0.027
Practice 140.6
Gender x Practice 0.073
Error 28.00
Total 168.70
a. Complete the ANOVA summary table (If your instructor wants you to calculate the sums of squares, use the preceding data to do so.)
b. Are the values of Fobt significant at ?At ? = .05 and ? = .017
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.
2. What is the difference between a cell (condition) mean and the means used to interpret a main effect?
3. What is the difference between a complete factorial design and an incomplete factorial design?
4. Explain the difference between a two-way ANOVA and a three-way ANOVA.
5. 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?
b. How many conditions were in the study?
c. How many subjects were in the study?
d. Identify significant main effects and iteration 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 60
A x B 6 150
Error 72
Total 83 400
Source df SS MS F
A 1 10
B 1 60
A x B 1 20
Error 36
Total 39 150
6. A researcher is attempting to determine the effects of practice and gender on a timed task. Participants in an experience are given a computerized search 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 ins 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.
Women Men
2 Hours 12 11
13 12
12 13
11 12
11 11
Women Men
4 Hours 10 8
10 8
10 10
8 10
7 9
Women Men
6 Hours 7 5
5 6
7 8
6 6
7 8
Source df SS
Gender 0.027
Practice 140.6
Gender x Practice 0.073
Error 28.00
Total 168.70
a. Complete the ANOVA summary table (If your instructor wants you to calculate the sums of squares, use the preceding data to do so.)
b. Are the values of Fobt significant at ?At ? = .05 and ? = .017
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.
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Solution: STATS - How many independent variables are in 4 x 6 factorial design