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Figure 7.2
The main One-Way ANOVA window.
this with an asterisk in the matrix of differences. From this assessment, we
conclude that SAT scores were significantly higher as study time in months
increased, with the exception of no difference between the six month and
eight month study groups.
Another commonly used post hoc test was developed by Fisher (1935)
and is known as the least significant difference test (LSD). The rationale for
its use can be found in Carmer and Swanson (1973). The formula for the
LSD is as follows (the matrix of differences should be based on treatment
sums and not means):
F (1, df S / A ) 2( n )( MS S / A )
D LSD =
.
(7.6)
7.10 PERFORMING A TUKEY HSD TEST IN SPSS
The omnibus F ratio from our ANOVA was statistically significant, and
we are ready to determine where our group differences lie by using the
Tukey HSD procedure available in the Post Hoc window in SPSS. Open
your data file. From the main menu, select Analyze CompareMeans
One-Way ANOVA. That will bring you to the main dialog window for the
procedure as shown in Figure 7.2. Configure it as is shown in Figure 7.2
with group as the Factor and satscore in the Dependent List panel.
Click the Options pushbutton to reach the dialog window shown in
Figure 7.3. Select Descriptive but, with the prior analysis already per-
formed, there is no longer a need to run the Levene test. Click Continue
to return to the main One-Way ANOVA window.
Now click the Post Hoc pushbutton to reach the list of the post hoc
tests available in SPSS. As shown in Figure 7.4, select Tuke y. Then click
Continue and in the main window click OK to run the analysis.
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