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or ANalysis Of VAriance is analogous to running several t-test simultaneously
as pairwise comparisons of means to assess if some of the means are significantly
different from each other (P<0.05).
The ANOVA results only indicate if some of the
means differ significantly from each other, these result do not indicate specifically which
mean is significantly different from which.
Note that the ANOVA was significant (p<0.0001) and recall that the ANOVA results
indicate that some means are significantly different from one another.
The Tukey’s Multiple Comparisons Test (
) results will indicate which
pairs of means are significantly different from each other.
However, note that in the
output of the test, unbroken lines connect means that are NOT significantly different (i.e.,
Thus, pairs of means that are not connected by unbroken lines are
different (i.e., P < 0.05).
Since the ANOVA cannot specifically indicate which means are different from which, a
Tukey's Multiple Comparisons Test was run. The Tukey results are indicated by the
unbroken lines. These unbroken lines connect means that do not differ significantly from
each other (i.e., p>0.05).
Thus, means not connected by the same unbroken line are
significantly different (i.e., p<0.05) from each other.
DC is significantly different than all others. WT 5 and 10 are significantly different than
DT 2.5-20 and WT 50 and 100. All of the DT do not differ significantly, and also do not
differ significantly from WC and WC 2.5. DT 30-100 do not differ significantly, and also
do not differ significantly from WC, and WT 2.5- 40. WT 20- 100 do not differ