Share
Explore BrainMass

Analysis of Variance

1. In a completely randomized design, seven experimental units were used for each of the five levels of the factor.
Complete the following ANOVA table:

Source of variation sum of squares degrees of freedom mean square f p value
Treatments 300
Error
Total 460

2. Develop the analysis of variance computations for the following completely randomized design. At a=.05 is there a significance difference between the treatment means?

A B C
136 107 92
120 114 82
113 125 85
107 104 101
131 107 89
114 109 117
129 97 110
102 114 120
104 98
89 106

3. Refer to the NCP data. Set up the ANOVA table and test for any significant difference in the mean examination score for the three plants. Use a=.05.

Atlanta Dallas Seattle
85 71 59
75 75 64
82 73 62
76 74 69
71 69 75
85 82 67

Solution Summary

The solution provides step-by-step method of performing ANOVA Analysis. All the steps of hypothesis testing (formulation of null and alternate hypotheses, selection of significance level, choosing the appropriate test-statistic, decision rule, calculation of test-statistic and conclusion) have been explained in details.

$2.19