Ssb Group Comparison
1. **Stating the problem:**
We have three groups with an independent variable (IV) having three levels: (1) watch TV, (2) read books, and (3) meet with friends.
2. **Given data:**
- SSBcomparison1 (groups (1)+(2) vs. group (3)) = 300
- Total SSB from omnibus ANOVA = 750
3. **Understanding SSB (Sum of Squares Between groups):**
SSB measures the variability between group means.
4. **Key property:**
The total SSB is the sum of the SSBs of all independent comparisons that partition the groups without overlap.
5. **Since the omnibus SSB = 750, and one comparison (groups (1)+(2) vs. group (3)) accounts for 300, the remaining SSB must come from the other comparison (group (1) vs. group (2)).**
6. **Therefore,**
$$\text{SSBcomparison2} = \text{SSB} - \text{SSBcomparison1} = 750 - 300 = 450$$
7. **Interpretation:**
The SSB for comparing group (1) to group (2) is 450.
This means the variability between groups (1) and (2) accounts for 450 of the total between-group variability.
**Final answer:**
$$\boxed{\text{SSBcomparison2} = 450}$$