Planned Contrast Coding Question

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Planned Contrast Coding Question

Baglioni, Tony

All

 

I have a question regarding a study utilizing the below 2 x 4 between-subjects design. 

 

 

Variable Y

Variable X

Y1

Y2

Y3

Y4

X1

A

B

C

D

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

 

 

No FW

Pro/Con

Hybrid

Why

 

More precise

0

1

0

-1

0

Less precise

0

-1

0

1

0

 

0

0

0

0

 

 

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

 

 

===================== To manage your subscription to SPSSX-L, send a message to [hidden email] (not to SPSSX-L), with no body text except the command. To leave the list, send the command SIGNOFF SPSSX-L For a list of commands to manage subscriptions, send the command INFO REFCARD
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Re: Planned Contrast Coding Question

Maguin, Eugene

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)

 

 

Variable Y

Variable X

Y1

Y2

Y3

Y4

X1

A

B

C

D

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. 

 

 

Variable Y

Variable X

Y1

Y2

Y3

Y4

X1

A

B

C

D

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

 

 

No FW

Pro/Con

Hybrid

Why

 

More precise

0

1

0

-1

0

Less precise

0

-1

0

1

0

 

0

0

0

0

 

 

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

 

 

===================== To manage your subscription to SPSSX-L, send a message to [hidden email] (not to SPSSX-L), with no body text except the command. To leave the list, send the command SIGNOFF SPSSX-L For a list of commands to manage subscriptions, send the command INFO REFCARD

===================== To manage your subscription to SPSSX-L, send a message to [hidden email] (not to SPSSX-L), with no body text except the command. To leave the list, send the command SIGNOFF SPSSX-L For a list of commands to manage subscriptions, send the command INFO REFCARD
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Re: Planned Contrast Coding Question

Rich Ulrich
In reply to this post by Baglioni, Tony
Yes, your proposed contrast does test the interaction of the
linear trend for the two conditions.  This should be tested, I think,
after a test that takes out the influence of the overall linear term.
Even if the design is balanced, this reduces the error term.  If the
design is not balanced, you will be testing the wrong thing.

There should also be a test for the residual (non-linear) interaction
terms, to confirm the linearity.

And the "No FW" condition is, indeed, problematic.  As you
look at the matrix of contrasts, you can see that the means for
"hybrid" are treated exactly the same as the means for "No FW".

Thus, the increase in the error term is the way that Hybrid has its
influence on the test of hypothesis - and  NoFw   has exactly the same
influence.  If that is not acceptable, you need to drop the  NoFw subjects
from the ANOVA.

--
Rich Ulrich


Date: Fri, 8 May 2015 14:18:13 +0000
From: [hidden email]
Subject: Planned Contrast Coding Question
To: [hidden email]

All

 

I have a question regarding a study utilizing the below 2 x 4 between-subjects design. 

 

 

Variable Y

Variable X

Y1

Y2

Y3

Y4

X1

A

B

C

D

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

 

 

No FW

Pro/Con

Hybrid

Why

 

More precise

0

1

0

-1

0

Less precise

0

-1

0

1

0

 

0

0

0

0

 

 

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

 

 

===================== To manage your subscription to SPSSX-L, send a message to [hidden email] (not to SPSSX-L), with no body text except the command. To leave the list, send the command SIGNOFF SPSSX-L For a list of commands to manage subscriptions, send the command INFO REFCARD
===================== To manage your subscription to SPSSX-L, send a message to [hidden email] (not to SPSSX-L), with no body text except the command. To leave the list, send the command SIGNOFF SPSSX-L For a list of commands to manage subscriptions, send the command INFO REFCARD