Discriminant function analysis: Difference between revisions

Revision as of 14:14, 22 May 2017

Revision as of 09:09, 11 September 2017

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Each function is given a discriminant score to determine how well it predicts group placement.

*Structure Correlation Coefficients: The correlation between each predictor and the discriminant score of each function. This is a whole{{clarify|date=April 2012}} correlation.Garson, G. D. (2008). Discriminant function analysis. https://web.archive.org/web/20080312065328/http://www2.chass.ncsu.edu/garson/pa765pA765/discrim.htm .

*Standardized Coefficients: Each predictor’s unique contribution to each function, therefore this is a [[partial correlation]]. Indicates the relative importance of each predictor in predicting group assignment from each function.

*Functions at Group Centroids: Mean discriminant scores for each grouping variable are given for each function. The farther apart the means are, the less error there will be in classification.

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==Variations==

*[[Linear Discriminant Analysis#Multiclass LDA|Multiple discriminant analysis (MDA)]]: related to MANOVA. Has more than two groups, and uses multiple dummy variables.<ref name="garson">Garson, G. D. (2008). Discriminant function analysis. {{cite web |url=http://www2.chass.ncsu.edu/garson/pa765/discrim.htm |title=Archived copy |accessdate=2008-03-04 |deadurl=yes |archiveurl=https://web.archive.org/web/20080312065328/http://www2.chass.ncsu.edu:80/garson/pA765/discrim.htm |archivedate=2008-03-12 |df= }} .</ref>

*Sequential discriminant analysis: assesses the importance of a set of IVs over and above a set of controls. In this case, the controls are entered first, and then the IVs.<ref name="garson"/>

*Stepwise discriminant analysis: Selects the most correlated predictor first, removes that variance in the grouping variable then adds the next most correlated and continues until the change in canonical correlation is not significant. Of course, both forward and backward stepwise procedures may be performed.<ref name="garson"/>

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==External links==

{{wikiversity}}

* [https://web.archive.org/web/20080312065328/http://www2.chass.ncsu.edu:80/garson/pA765/discrim.htm Course notes, Discriminant function analysis by G. David Garson, NC State University]

* [http://people.revoledu.com/kardi/tutorial/LDA/ Discriminant analysis tutorial in Microsoft Excel by Kardi Teknomo]

* [http://www.psychstat.missouristate.edu/multibook/mlt03m.html Course notes, Discriminant function analysis by David W. Stockburger, Missouri State University]