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Article #3561Re: Correlation with categorical variables
From: Allan Reese
Date: Mon, 27 Jan 1992 10:07
Date: Mon, 27 Jan 1992 10:07
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> >I have a categorical variable that I wish to correlate with a number of > >continuous variables. The categorical variable has four categories (i.e. a > >firm can be either in category A or B or C or D). I have been looking Mike Katten comments > I think a more appropriate statistic would be something called a > point biserial coefficient. I vaguely remember reading about this > in Nunnally, but I think it was appropriate for continuous-categorical > analyses. The Point Biserial Coorelation has come up many times over the years on the list, so see monthly archives. Kendall and Buckland describe the origins of biserial correlation thus, "Originally a coefficient designed to measure the correlation of two quantities, one of which is represented by a measurable variate, the other a simple dichotomy ... . Later (1909) Pearson extended the connotation of `biserial' ..." (Dictionary of Statistical Terms 4th Ed). So the question is whether you want to use some calculation proposed at the start of this century. Just because something has a name, it doesn't mean it exists (cf. Cox's Sandpiper). The original question needs to be spelled out in more detail. Are the categories A B C D ordered? What sort of association (a more general term than correlation) is expected or sought?
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From: Allan Reese <R.A.Reese@SEQ.HULL.AC.UK>
Subject: Re: Correlation with categorical variables
In-Reply-To: <received 27 Jan 92 08:50:58 via EDU>; from "Mike Kattan" at Jan
27, 92 3:16 a