In article <[EMAIL PROTECTED]>,
Jason Osborne, Ph.D. <[EMAIL PROTECTED]> wrote:
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>I am trying to test a mediational model via multiple regression, to see
>of the beta for the relationship between X and Y is significantly
>reduced by covarying A.  I need to test for significant differences
>between the beta X -> Y without A in the equation, and with A in the
>equation.  

>These don't strike me as independent betas.  Are they?  I have skimmed
>through several regression texts, such as Cohen & Cohen and Pedhazur, as
>well as reading baron & Kenny's 1986 J Personality and SSocial Psych
>article.  I cannot find a formula for testing differences between a
>particular regression weight in successive regression models.

It is not clear from what you wrote if X or Y is the independent
variable; I will assume that the regression is of Y on X; X may even
be multivariate, as may A, in which case the analysis is a little
harder.  

In the case X and A are single variables, the true regression will
change by including A unless the true regression on both does not
involve A, or X and A are uncorrelated.  In all other cases, 
including A changes the coefficient of X.  
-- 
This address is for information only.  I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Dept. of Statistics, Purdue Univ., West Lafayette IN47907-1399
[EMAIL PROTECTED]         Phone: (765)494-6054   FAX: (765)494-0558

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