From: Liaw, Andy <andy_liaw_at_merck.com>

Date: Tue 05 Apr 2005 - 20:35:30 EST

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 Received on Tue Apr 05 20:40:51 2005

Date: Tue 05 Apr 2005 - 20:35:30 EST

tStat <- abs(x - muhat) / sigmahat

pValue <- pt(tStat, df=N, lower=TRUE)

*> From: Ross Clement
**>
*

> Hi. I have a question that I have asked in other stat forums

*> but do not
**> yet have an answer for. I would like to know if there is some way in R
**> or otherwise of performing the following hypothesis test.
**>
**> I have a single data item x. The null hypothesis is that x
**> was selected
**> from a normal distribution N(mu,sigma). The alternate
**> hypothesis is that
**> x does not come from this distribution.
**>
**> However, I do not know the values of mu and sigma. I have a sample of
**> size N from which I can estimate mu and sigma. So, say that I have
**> N(m,s,N), and x. I would like to say with some certainty
**> (e.g. 95%) that
**> I can, or can't reject the hypothesis that x came from N(mu,sigma). I
**> would also like a power test to say how large N should be given the
**> degree of accuracy I need when accepting or rejecting individual x
**> values.
**>
**> What is the name of the hypothesis test I need for this? Is it built
**> into R, or are there packages I could use?
**>
**> Thanks in anticipation,
**>
**> Ross Clement.
**>
**> ______________________________________________
**> 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
**>
**>
**>
*

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 Received on Tue Apr 05 20:40:51 2005

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