```Date: Tue, 23 Oct 2001 09:21:17 -0400 Reply-To: "Powhatan J. Wooldridge, Ph.D." Sender: "SPSSX(r) Discussion" From: "Powhatan J. Wooldridge, Ph.D." Subject: Re: Betas greater than 1 Comments: To: Hector Maletta In-Reply-To: <3BD49414.754CAC8B@fibertel.com.ar> Content-Type: TEXT/PLAIN; charset=US-ASCII Hector-- The situation is a bit more confused than your memo suggests. When there are no control variables involved, beta is numerically identical to the Pearsonian correlation coefficient, and cannot exceed 1, any more than r can. It is only PARTIAL betas that can exceed 1, whereas partial correlation coefficients cannot, of course, exceed 1. --- Pow *************************************************************************** Powhatan J. Wooldridge, Assoc. Professor, Nursing, State Univ. NY at Buffalo On Mon, 22 Oct 2001, Hector Maletta wrote: > Carla, > betas, the standardized regression coefficients, are regression > coefficients of an equation dealing with standardized variables, i.e. > variables with a zero mean and unit standard deviation (SD). A beta=1 > would mean that an increase of one SD in the independent variable > concerned would be associated with a one SD increase in the dependent > variable. There is no reason for betas to be necessarily above or below > one: they can be anywhere. > > What caused your confusion, I suspect, is the fact that linear > correlation coefficients vary between -1 and +1. There is a relationship > between correlation and regression coefficients, but the latter can > exceed +/- 1, unlike the former. > > Hector Maletta > Universidad del Salvador > Buenos Aires, Argentina > > Carla Grayson wrote: > > > > Sorry for this beginner stats question, but what does it mean if your > > standardized regression coefficient (Beta) is greater than 1? (I got > > this in the context of a multiple regression, 2 main effets and their > > interaction.) I always thought Betas had an absolute maximum of 1, like > > the Pearson correlation coefficient. > > ```

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