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Analysis #2


Running a 2 X 2 ANOVA
    Florian Schwarz
http://florianschwarz.net
Setup of a 2 X 2 ANOVA design
Factor 1: Clause Order          Factor 2: ‘auch’ vs. ‘vorher’

  1st    2nd    Auch /               ‘auch’ ps satisfied
  clause clause Vorher               if…
A RC     MC     Auch                 RC has OS order
B RC        MC           Vorher      --

C MC        RC           Auch        MC has OS order

D MC        RC           Vorher      --
2 X 2 ANOVA

Under ‘Analyze’,
Choose
‘General Linear
Model’ and
‘Repeated Measures’
2 X 2 ANOVA

This window opens.
You have to name
your factors and enter
the number of levels.

Your first factor
should be the one that
remains constant in
your first two
conditions.
2 X 2 ANOVA

Then you click ‘Add’

Do the same thing for
the second factor.
2 X 2 ANOVA

Now that your factors
are labeled,
Click ‘define’.
2 X 2 ANOVA

If you entered your
factors in the right
order, you can simply
highlight all 4 factors
and click on the
arrow.

The numbers tell you
the levels of the
factors for each
condition.
2 X 2 ANOVA

Next, click on
‘Options’ at the
bottom right.
2 X 2 ANOVA

Here you can choose
all kinds of things.

It is always a good
idea to include
descriptive statistics.

Then click ‘continue’
2 X 2 ANOVA

Plots are very helpful
for interpreting the
data, especially when
dealing with
interactions.

To include a plot,
click the ‘plots’
button.
2 X 2 ANOVA

You can choose
which factor to put on
the X-Axis and which
factor to draw in
separate lines.

Click ‘Add’ to add a
plot.
2 X 2 ANOVA

I chose to draw plots
both ways.

Click ‘Continue’ to
get back to the main
menu.
2 X 2 ANOVA

Now you just have to
click ‘OK’ to run the
ANOVA.

As always, the output
will appear in the
SPSS Output Viewer.
2 X 2 ANOVA

If you checked the
‘descriptives’
checkbox, the first
thing you see is some
descriptive statistics,
including the means
and standard
deviations.
2 X 2 ANOVA




Next, you will see lots of complicated looking tables. You
can ignore these, and go on to the ‘Tests of Within-
Subjects Contrasts’-table. This is the standard ANOVA
table. Note that for a within-subjects design, you get
separate error terms for each source of variance.
On the right, you find the F- and p-values.
2 X 2 ANOVA




In this case, there is a main effect of clause order
(presup_sat) and an interaction. To interpret these properly,
it is helpful to look at the graphs, which are displayed
further down in the Output Viewer.
Interpreting the results of a 2 X 2 ANOVA




As the crossing lines in both of the graphs clearly show, the
interaction dominates the main effect.
Reporting the results of a 2 X 2 ANOVA




A 2x2 ANOVA revealed a main effect of clause order
(F1(1,19) = 11.58, p < .01, F2(1,23) = 7.88, p = .01),
which was dominated by an interaction
(F1(1,19) = 26.00, p < .001, F2(1,23) = 17.81, p <
.001).
That’s that

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Running 2x2 ANOVA's in SPSS

  • 1. Analysis #2 Running a 2 X 2 ANOVA Florian Schwarz http://florianschwarz.net
  • 2. Setup of a 2 X 2 ANOVA design Factor 1: Clause Order Factor 2: ‘auch’ vs. ‘vorher’ 1st 2nd Auch / ‘auch’ ps satisfied clause clause Vorher if… A RC MC Auch RC has OS order B RC MC Vorher -- C MC RC Auch MC has OS order D MC RC Vorher --
  • 3. 2 X 2 ANOVA Under ‘Analyze’, Choose ‘General Linear Model’ and ‘Repeated Measures’
  • 4. 2 X 2 ANOVA This window opens. You have to name your factors and enter the number of levels. Your first factor should be the one that remains constant in your first two conditions.
  • 5. 2 X 2 ANOVA Then you click ‘Add’ Do the same thing for the second factor.
  • 6. 2 X 2 ANOVA Now that your factors are labeled, Click ‘define’.
  • 7. 2 X 2 ANOVA If you entered your factors in the right order, you can simply highlight all 4 factors and click on the arrow. The numbers tell you the levels of the factors for each condition.
  • 8. 2 X 2 ANOVA Next, click on ‘Options’ at the bottom right.
  • 9. 2 X 2 ANOVA Here you can choose all kinds of things. It is always a good idea to include descriptive statistics. Then click ‘continue’
  • 10. 2 X 2 ANOVA Plots are very helpful for interpreting the data, especially when dealing with interactions. To include a plot, click the ‘plots’ button.
  • 11. 2 X 2 ANOVA You can choose which factor to put on the X-Axis and which factor to draw in separate lines. Click ‘Add’ to add a plot.
  • 12. 2 X 2 ANOVA I chose to draw plots both ways. Click ‘Continue’ to get back to the main menu.
  • 13. 2 X 2 ANOVA Now you just have to click ‘OK’ to run the ANOVA. As always, the output will appear in the SPSS Output Viewer.
  • 14. 2 X 2 ANOVA If you checked the ‘descriptives’ checkbox, the first thing you see is some descriptive statistics, including the means and standard deviations.
  • 15. 2 X 2 ANOVA Next, you will see lots of complicated looking tables. You can ignore these, and go on to the ‘Tests of Within- Subjects Contrasts’-table. This is the standard ANOVA table. Note that for a within-subjects design, you get separate error terms for each source of variance. On the right, you find the F- and p-values.
  • 16. 2 X 2 ANOVA In this case, there is a main effect of clause order (presup_sat) and an interaction. To interpret these properly, it is helpful to look at the graphs, which are displayed further down in the Output Viewer.
  • 17. Interpreting the results of a 2 X 2 ANOVA As the crossing lines in both of the graphs clearly show, the interaction dominates the main effect.
  • 18. Reporting the results of a 2 X 2 ANOVA A 2x2 ANOVA revealed a main effect of clause order (F1(1,19) = 11.58, p < .01, F2(1,23) = 7.88, p = .01), which was dominated by an interaction (F1(1,19) = 26.00, p < .001, F2(1,23) = 17.81, p < .001).