ANOVA Analysis Table
Use the table below to answer the
series of questions. Elaborate on your answers as to how you arrived at the
solution.
a) What is the sample size?
b) Use the information and
determine a Tukey simultaneous 95% confidence interval for italic mu subscript
1 – italic mu subscript 2. The mean and sample sizes for brand 1 and brand 2 are
as follows: x with bar on top 1 = 2.95, x with bar on top 2 = 2.28, n1 = 4 and
n2 = 5.
c) At a significance level of .05.
What conclusions can we come to?
ANOVA table
Source SS df MS F p-value
Treatment 6.000 3 1.9998
18.85 3.46E-05
Error 1.486 14 0.1061
Total 7.485 17
Post hoc analysis
Tukey simultaneous comparison
t-values (d.f. = 14)
Brand 3 Brand 2 Brand
4 Brand 1
1.40 2.28 2.58 2.95
Brand 3 1.40
Brand 2 2.28 4.27
Brand 4 2.58 5.38 1.35
Brand 1 2.95 7.09 3.07 1.63
Critical values for
experiment-wise error rate:
0.05 2.91
0.01 3.76.
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