Chapter 10:
"Design of Experiments and Analysis of Variance"
We will
perform ANOVA on the following data, which we pretend to be random
samples drawn from four different populations. Each of these
samples represents a different treatment.
Sample 1
Sample 2
Sample 3
Sample 4
6.33
6.26
6.44
6.26
6.26
6.36
6.38
6.23
6.31
6.23
6.58
6.19
6.29
6.27
6.54
6.21
6.40
6.19
6.56
6.50
6.34
6.19
6.58
6.22
We are
testing the following hypotheses:
Step 1 (enter this data
into four lists in the calculator):
Step 2:
Step 3 (results):
Hence, with such a small
p-value —
barely more than 0.02% — we can confidently reject the null hypothesis
and conclude that a significant difference does exist between at least
two of the treatments.
