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Q.2. Consider the partial ANOVA table given in Table 1 below. The ANOVA table corresponds to a single-factor experiment with three treatments that were replicated
Q.2.Consider the partial ANOVA table given in Table 1 below. The ANOVA table corresponds to a single-factor experiment with three treatments that were replicated 13, 92, and 59 times. Use the information in the table to answer the following questions:
Table 1: ANOVA Table
Source of Variation | Sum of Squares | DF | Mean Square | F Value Variance Ratio | P-value |
Treatments | ? | ? | 5.88 | 0.0034 | |
Error | 198442.24 | ? | ? | ||
Total | ? | ? |
- Fill in the missing entries in the ANOVA Table.
- Estimate the standard deviation of the error term in the model.
- Use the sample standard deviations given in Table 2 (below) to check the constant variance assumption. Is it reasonable to assume that each of the treatment groups has the same variance?
Table 2: Sample standard deviations
Treatment | Sample SD |
A | 29.74 |
B | 35.24 |
C | 38.85 |
- Assuming all conditions underlying ANOVA are met, test the hypothesis of equal treatment means at the the=0.05 level. Show all five steps.
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