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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 ? ?

  1. Fill in the missing entries in the ANOVA Table.
  2. Estimate the standard deviation of the error term in the model.
  3. 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

  1. 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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