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I am testing for partial mediation.  I need to know whether the
unstandardized regression coefficient for variable X predicting Y in one
regression equation is significantly different from the unstandardized
regression coefficient for variable X predicting Y after a couple
covariates have been entered, in a seperate regression equation.

These do not seem that they would be independent Bs, nor does this seem
to fit the case of dependent Bs.  I have checked Pedhazur and Cohen &
Cohen.  ANy other suggestions for a formula?

Jason
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