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Date:         Tue, 6 Jun 2006 08:18:51 -0400
Reply-To:     Jim Groeneveld <jim2stat@YAHOO.CO.UK>
Sender:       "SAS(r) Discussion" <SAS-L@LISTSERV.UGA.EDU>
From:         Jim Groeneveld <jim2stat@YAHOO.CO.UK>
Subject:      Re: QR: Bonferroni correction in multiple linear regression?
Comments: To: "adel F." <adel_tangi@YAHOO.FR>
Content-Type: text/plain; charset=ISO-8859-1

Hi Adel,

When performing anova or multiple regrassion one never should do any adjustment to alpha levels on emerging effects. These analyses test for effects of some independent continuous or categorical variable(s) on some dependent variable(s) as a whole, thus without pointing to significant differences between pairs of groups in case of three or more groups. This actually is a single test, not a series of multiple tests. You may have been far too conservative with your alpha levels in this case.

Only if one performs post hoc analysis or a priori tests between pairs of groups (e.g. t-tests), which involve more than one separate (multiple) tests some alpha adjustment applies because of higher probabilities on coincidentally significant results. Bonferroni is quite common, quite conservative too, your effects have to be strong to prove significant. Other adjustment methods are available of which the one proposed by Keppel is quite liberal. Keppel only applies a Bonferroni-like adjustment in case of circular dependence of sets of tests between groups.

Search with google on [alpha bonferroni keppel partitioning multiple].

See also: http://www.listserv.uga.edu/cgi-bin/wa?A2=ind0403C&L=sas-l&P=R3884 http://www.listserv.uga.edu/cgi-bin/wa?A2=ind0602B&L=sas-l&P=R42081 http://www.listserv.uga.edu/cgi-bin/wa?A2=ind0603C&L=sas-l&P=R17218

Regards - Jim. -- Jim Groeneveld, Netherlands Statistician, SAS consultant home.hccnet.nl/jim.groeneveld

On Tue, 6 Jun 2006 12:37:23 +0200, adel F. <adel_tangi@YAHOO.FR> wrote: >Hi, > in one way anova , we usually use the Bonferroni correction , if we have a categorical variable X, of more than 3 categories, for example 5, in order to test the equality of means of the Y variable. > > If instead of anova, I use the multiple linear regression Y= X, do I need to do the Bonferroni correction here also? > > Many thanks > Adel > > __________________________________________________ >Do You Yahoo!? >En finir avec le spam? Yahoo! Mail vous offre la meilleure protection possible contre les messages non sollicités >http://mail.yahoo.fr Yahoo! Mail


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