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Date:         Mon, 26 Apr 2004 08:39:43 -0400
Reply-To:     Susie.Li@US.SANOFI.COM
Sender:       "SAS(r) Discussion" <SAS-L@LISTSERV.UGA.EDU>
From:         Susie Li <Susie.Li@US.SANOFI.COM>
Subject:      Re: Percentile for a specific value against an empirical
              distribution
Content-Type: text/plain; charset=us-ascii

In pharma, we are used to pctldef=10 (pctltile 1-10=decile 1, pctltile 11-20=decile 2,..., pctltile 91-100=decile 10). As the result, there are many points tied on the decile boundaries. We promote them to the higher of the deciles in general.

What would be the easiest way to handle such 'DECILING', essentially a collapsing of percentiles?

Susie Li Sales Operations, Sanofi-Synthelabo, Inc. 90 Park Ave, New York, NY 10016 (212)551-4385 susie.li@us.sanofi.com

__________________

Susie.Li@US.SANOFI.COM wrote: > How does PROC UNIVARIATE handle ties in calculating percentiles?

Actually, in the computations for just the percentiles (and other quantiles), the ties do not matter. The values get treated just like every other data point. What this means in practice is that if the Kth percentile would be the weighted average of values Xj and Xj+1 (PCTLDEF=1), and these are equal (they are tied), then the percentile value is still their average.. which is the same as their (tied) value. Ties are more problematic in the computation of a variety of nonparametric statistical methods, but they just don't cause a problem when we compute the percentiles. In fact, if we're doing percentiles by hand, they just make things easier.

HTH, David -- David Cassell, CSC Cassell.David@epa.gov Senior computing specialist mathematical statistician

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