Thanks very much Andy for the code and the explanation. The meaning of AC is much more clear now.
I did notice, when I tried the code, the results were not exactly the same as yours. > sapply(c(.25,.5), testAC, x=x[1:4], method="single") Loading required package: cluster Error in FUN(X[[1]], ...) : Object "x" not found > x=rnorm(50) > sapply(c(.25,.5), testAC, x=x[1:4], method="single") [1] 0.7450599 0.9926918 > version _ platform i686-pc-linux-gnu arch i686 os linux-gnu system i686, linux-gnu status major 2 minor 0.1 year 2004 month 11 day 15 language R Regards, Weiguang --- "Liaw, Andy" <[EMAIL PROTECTED]> wrote: > It has to do with sample sizes. Consider the > following: > > testAC <- function(prop1=0.5, x=rnorm(50), > center=c(0, 100), ...) { > stopifnot(require(cluster)) > n <- length(x) > n1 <- ceiling(n * prop1) > n2 <- n - n1 > agnes(x + rep(center, c(n1, n2)), ...)$ac > } > > Now some tests: > > > sapply(c(.25, .5), testAC, x=x[1:4], > method="single") > [1] 0.7427591 0.9862944 > > sapply(1:5 / 10, testAC, x=x[1:10], > method="single") > [1] 0.8977139 0.9974224 0.9950061 0.9946366 > 0.9946366 > > sapply(1:5 / 10, testAC, x=x, method="single") > [1] 0.9982955 0.9969757 0.9971114 0.9971127 > 0.9975111 > > So it seems like AC does not consider isolated > singletons as cluster > structures. This is only discernable in small > sample size, though. > > Andy > > > > > --- "Liaw, Andy" <[EMAIL PROTECTED]> wrote: > > > BTW, I checked the book. You're not going find > much > > > more than that. > > > > > Thanks for checking. > > > > Weiguang > > > > > ______________________________________________________________ > > ________ > > Post your free ad now! http://personals.yahoo.ca > > > > > > > ------------------------------------------------------------------------------ > Notice: This e-mail message, together with any > attachments, contains information of Merck & Co., > Inc. (One Merck Drive, Whitehouse Station, New > Jersey, USA 08889), and/or its affiliates (which may > be known outside the United States as Merck Frosst, > Merck Sharp & Dohme or MSD and in Japan, as Banyu) > that may be confidential, proprietary copyrighted > and/or legally privileged. It is intended solely for > the use of the individual or entity named on this > message. If you are not the intended recipient, and > have received this message in error, please notify > us immediately by reply e-mail and then delete it > from your system. > ------------------------------------------------------------------------------ > ______________________________________________ R-help@stat.math.ethz.ch mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide! http://www.R-project.org/posting-guide.html