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The coefficient for the product (interaction) term
becomes an "offset" for the slope coefficient of the group
coded as 0. For your case, the zero-coded group slope is,
say, .2339, then the offset slope (interaction) coefficient
would be -.0164. The t test for this coefficient is exactly
the test you want for the difference in slopes.
On Thu, 9 Nov 2000 09:08:12 -0800 Dale Glaser
<glaser@pacific-science.com> wrote:
> On the face of it this seems reasonable, however, to put this in context, a
> study I was recently involved in, the unstandardized slope for a
> fibromyalgia group was .2175 and for arthritic group was .2339, and when
> interested in comparing the difference between the slopes for the two
> groups, I'm not clear how creating an interaction term with the dummy coded
> vector will ultimately answer the research question..........dale
>
> -----Original Message-----
> From: William B. Ware [mailto:wbware@email.unc.edu]
> Sent: Thursday, November 09, 2000 8:53 AM
> To: Dale Glaser
> Cc: SPSSX-L@LISTSERV.UGA.EDU
> Subject: Re: comparing b's or beta's
>
> Would it be appropriate to "dummy" the gender variable and include it
> along with its interactions... the tests on the interactions would be
> tests for the equality of the regression coefficients, would they not?
>
> WBW
>
> __________________________________________________________________________
> William B. Ware, Professor and Chair Educational Psychology,
> CB# 3500 Measurement, and Evaluation
> University of North Carolina PHONE (919)-962-7848
> Chapel Hill, NC 27599-3500 FAX: (919)-962-1533
> http://www.unc.edu/~wbware/ EMAIL: wbware@unc.edu
> __________________________________________________________________________
>
> On Thu, 9 Nov 2000, Dale Glaser wrote:
>
> > Wim.......in the past I have used the formula from Cohen and Cohen (1983)
> on
> > page 56 when comparing the significance of the difference between
> > independent Betas....Zar (1999) in chapter 18 (p. 360) in his
> > Biostatistical Analysis text also has a section on comparing two slopes;
> > however, and unfortunately I did not save it, I know some one developed a
> > macro for the test of two independent betas..............hope this
> > helps..........dale glaser
> >
> > -----Original Message-----
> > From: SPSSX(r) Discussion [mailto:SPSSX-L@LISTSERV.UGA.EDU] On Behalf Of
> Wim
> > Beyers
> > Sent: Wednesday, November 08, 2000 11:22 PM
> > To: SPSSX-L@LISTSERV.UGA.EDU
> > Subject: comparing b's or beta's
> >
> > Dear all,
> >
> > After having applied a hierarchical regression procedure in two
> > groups separately (boys and girls) I want to compare the estimated
> > parameters between the two groups, e.g. the b's (regression weights) or
> > beta's (standardized). Is there any way to do it, either with computer
> > power, either by hand (e.g. a kind of z-test like we have for comparing
> > correlations) ?
> > Someone with experience in this matter ?
> > --
> > Wim Beyers
> >
----------------------
C. Mitchell Dayton, Professor
Department of Measurement & Statistics
and
Joint Program in Survey Methodology
cd4@umail.umd.edu
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