Question 1: Consider the data for a three-group, three-dependent-variable problem. Run the one-way MANOVA on SPSS.
a) What is the multivariate null hypothesis? Do you reject it at a = .05?
b) If you reject in part a), then which paris of groups are significantly different in a multivariate sense at the .05 level?
c) For the significant pairs, which of the individual variables are contributing (at .01 level) to the multivariate significance?
|
Group 1 |
|
|
|
Group 2 |
|
|
|
Group 3 |
|
| y1 |
y2 |
y3 |
|
y1 |
y2 |
y3 |
|
y1 |
y2 |
y3 |
| 2.0 |
2.5 |
2.5 |
|
1.5 |
3.5 |
2.5 |
|
1.0 |
2.0 |
1.0 |
| 1.5 |
2.0 |
1.5 |
|
1.0 |
4.5 |
2.5 |
|
1.0 |
2.0 |
1.5 |
| 2.0 |
3.0 |
2.5 |
|
3.0 |
3.0 |
3.0 |
|
1.5 |
1.0 |
1.0 |
| 2.5 |
4.0 |
3.0 |
|
4.5 |
4.5 |
4.5 |
|
2.0 |
2.5 |
2.0 |
| 1.0 |
2.0 |
1.0 |
|
1.5 |
4.5 |
3.5 |
|
2.0 |
3.0 |
2.5 |
| 1.5 |
3.5 |
2.5 |
|
2.5 |
4.0 |
3.0 |
|
2.5 |
3.0 |
2.5 |
| 4.0 |
3.0 |
3.0 |
|
3.0 |
4.0 |
3.5 |
|
2.0 |
2.5 |
2.5 |
| 3.0 |
4.0 |
3.5 |
|
4.0 |
5.0 |
5.0 |
|
1.0 |
1.0 |
1.0 |
| 3.5 |
3.5 |
3.5 |
|
|
|
|
|
1.0 |
1.5 |
1.5 |
| 1.0 |
1.0 |
1.0 |
|
|
|
|
|
2.0 |
3.5 |
2.5 |
| 1.0 |
2.5 |
2.0 |
|
|
|
|
|
|
|
|
Question 2:Consider the data for a three-group MANOVA with two dependent variables. Run the MANOVA on SPSS. Is it significant at the .05 level? Examine the univariate F's at the .05 level. Are any of them significant? Explain this situation.
| Group 1 |
Group 2 |
Group 3 |
| y1 |
y2 |
y1 |
y2 |
y1 |
y2 |
| 3 |
7 |
4 |
5 |
5 |
5 |
| 4 |
7 |
4 |
6 |
6 |
5 |
| 5 |
8 |
5 |
7 |
6 |
6 |
| 5 |
9 |
6 |
7 |
7 |
7 |
| 6 |
10 |
6 |
8 |
7 |
8 |