It seems to me that this is a very complex statement to test because it has what I would describe as an ‘inner’ condition and an ‘outer’ condition with inner nested within the outer. And, because you are specifying
‘less than’ rather than ‘different from’ the tests are one-tailed rather than two-tailed. Perhaps others have a better understanding of this problem but it seems to me that for the outer condition you need to show B<F, C<G, D<H.
For the left hand inner condition you need to show B>C, C>D and for the right hand inner condition you need to show F>G, G>H. I assume but couldn’t prove it that if both B>C and C>D are true, then B>D must also
be true.
[(B > C > D) < (F > G > H)
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Variable Y |
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Variable X |
Y1 |
Y2 |
Y3 |
Y4 |
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X1 |
A |
B |
C |
D |
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X2 |
E |
F |
G |
H |
From: SPSSX(r) Discussion [mailto:[hidden email]]
On Behalf Of Baglioni, Tony (ajb2t)
Sent: Friday, May 08, 2015 10:18 AM
To: [hidden email]
Subject: Planned Contrast Coding Question
All
I have a question regarding
a study utilizing the below 2 x 4 between-subjects design.
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Variable Y |
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Variable X |
Y1 |
Y2 |
Y3 |
Y4 |
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X1 |
A |
B |
C |
D |
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X2 |
E |
F |
G |
H |
In order to respond to a reviewer’s concern, we need to test the following ordered interaction:
Participants in condition Y4 are less likely than those in condition Y3 who are less likely than those in condition Y2 to engage in an action and this effect is greater under X2 than X1.
[(B > C > D) < (F > G > H)
We currently are using the following contrast coding to test for this planned contrast, but I just don’t know if it’s correct given that we want to ignore the No FW (Y1) condition.
/lmatrix 'why less likely than hybrid which is less likely than pro/con to allow aggressive reporting and this effect is greater under less precise standards' standard*framework 0 1 0 -1 0 -1 0 1
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No FW |
Pro/Con |
Hybrid |
Why |
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More precise |
0 |
1 |
0 |
-1 |
0 |
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Less precise |
0 |
-1 |
0 |
1 |
0 |
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0 |
0 |
0 |
0 |
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Any help is much appreciated.
Tony
A J Baglioni jr
Associate Professor
McIntire School of Commerce
343 Rouss/Robertson Hall
University of Virginia
434.924.4961
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