Multiple regression: beta and zero-order correlations for interaction terms

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Multiple regression: beta and zero-order correlations for interaction terms

Karen Wood
Hi all. I'm confused.

This time it concerns the interpretation of the beta coefficient and
zero-order correlation for the interaction terms.


Example: Dependent variable = English scores

males = 0; females = 1

(interaction term) verbal ability X sex: beta  = 0.375; zero-order = 0.436

If the data is re coded (in order to obtain significance levels and
beta coefficients for females)
  males = 1; females = 0

verbal ability X sex: beta  = -0.319; zero-order = 0.043

The zero-order correlations between English scores and verbal ability
are r = 0.126 and r = 0.587, for males and females, respectively.

Thank you

Karen

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Re: Multiple regression: beta and zero-order correlations for interaction terms

Ian Martin-2
Hi Karen,

I'm almost always on the receiving end of advice here, but this
sounds like a straightforward homogeneity of slopes/ANCOVA problem.

If dependent is English Scores, independent is Verbal Ability, and
you have 2 groups (Females; Males), then you would test for
homogeneity of slopes between the sexes (i.e.; do the 2 sexes have
the same slope of VA with ES).  If slopes are nsd, then test for
differences in elevations of group English Scores evaluated at mean
Verbal Ability.

Does this describe what you are trying to test?

regards,
Ian

Ian D. Martin, Ph.D.

Tsuji Laboratory
University of Waterloo
Dept. of Environment & Resource Studies


On 14 Apr, 2010, at 12:44 AM, Karen Wood wrote:

> Hi all. I'm confused.
>
> This time it concerns the interpretation of the beta coefficient and
> zero-order correlation for the interaction terms.
>
>
> Example: Dependent variable = English scores
>
> males = 0; females = 1
>
> (interaction term) verbal ability X sex: beta  = 0.375; zero-order
> = 0.436
>
> If the data is re coded (in order to obtain significance levels and
> beta coefficients for females)
>  males = 1; females = 0
>
> verbal ability X sex: beta  = -0.319; zero-order = 0.043
>
> The zero-order correlations between English scores and verbal ability
> are r = 0.126 and r = 0.587, for males and females, respectively.
>
> Thank you
>
> Karen
>
> =====================
> 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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