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functions for polynomial and rational interplation?

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functions for polynomial and rational interplation?

dslowik
Are there implementations of, e.g. Neville's algorithm, for interpolating polynomials through some data points? Nevilles' is an improvement on Lagrange interpolation. And how about interpolating rational functions? I could not find anything at rseek.org or at crantastic.org.
thanks
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Re: functions for polynomial and rational interplation?

Bill.Venables
Neville's algorithm is not an "improvement" on Lagrange interpolation, it is simply one way of calculating it that has some useful properties.  The result is still the Lagrange interpolating polynomial, though, with all its flaws.

Implementing Neville's algorithm is fairly easy using the PolynomF package, but I'm not sure if it really offers much advantage.  YMMV.

Bill Venables.

-----Original Message-----
From: [hidden email] [mailto:[hidden email]] On Behalf Of dslowik
Sent: Tuesday, 14 June 2011 10:34 AM
To: [hidden email]
Subject: [R] functions for polynomial and rational interplation?

Are there implementations of, e.g. Neville's algorithm, for interpolating
polynomials through some data points? Nevilles' is an improvement on
Lagrange interpolation. And how about interpolating rational functions? I
could not find anything at rseek.org or at crantastic.org.
thanks

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Sent from the R help mailing list archive at Nabble.com.

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Re: functions for polynomial and rational interplation?

dslowik
Bill,

Thank you for the correction; yes, Nevilles' is an algorithm to produce the same Lagrange interpolating polynomial. And thank you for the polynomF package!

Don Slowik
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Asymetrical Confidence Interval

Muhuri, Pradip (SAMHSA/CBHSQ)

Dear List,

I wanted to calculate the asymmetrical confidence interval based on the sample statistic and standard error that available from the published report (complex survey-based).

The calculation details can be seen from pages 17-18 of the document at the following link: http://www.oas.samhsa.gov/nsduh/2k5MRB/2k5statInference.pdf.


Could someone tell me whether R has any function included in it "survey" or other contributed package of R.

Thank you in advance,

Pradip Muhuri

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Re: Asymetrical Confidence Interval

Patrick Connolly-4
On Thu, 16-Jun-2011 at 04:43PM -0400, Muhuri, Pradip (SAMHSA/CBHSQ) wrote:

|>
|> Dear List,
|>

|> I wanted to calculate the asymmetrical confidence interval based on
|> the sample statistic and standard error that available from the
|> published report (complex survey-based).

|> The calculation details can be seen from pages 17-18 of the
|> document at the following link:
|> http://www.oas.samhsa.gov/nsduh/2k5MRB/2k5statInference.pdf.

|>
|> Could someone tell me whether R has any function included in it
|> "survey" or other contributed package of R.

There might be one in a package somewhere, but it's so trivial to make
your own function by using the information you already have.

This is sounding suspiciously like a homework question.


--
~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.  
   ___    Patrick Connolly  
 {~._.~}                   Great minds discuss ideas    
 _( Y )_           Average minds discuss events
(:_~*~_:)                  Small minds discuss people  
 (_)-(_)                        ..... Eleanor Roosevelt
         
~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.

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Re: Asymetrical Confidence Interval

Tal Galili
In reply to this post by Muhuri, Pradip (SAMHSA/CBHSQ)
Hi Muhuri,
What do you suspect the underlying distribution is of your statistic?



----------------Contact
Details:-------------------------------------------------------
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----------------------------------------------------------------------------------------------




On Thu, Jun 16, 2011 at 11:43 PM, Muhuri, Pradip (SAMHSA/CBHSQ) <
[hidden email]> wrote:

>
> Dear List,
>
> I wanted to calculate the asymmetrical confidence interval based on the
> sample statistic and standard error that available from the published report
> (complex survey-based).
>
> The calculation details can be seen from pages 17-18 of the document at the
> following link:
> http://www.oas.samhsa.gov/nsduh/2k5MRB/2k5statInference.pdf.
>
>
> Could someone tell me whether R has any function included in it "survey" or
> other contributed package of R.
>
> Thank you in advance,
>
> Pradip Muhuri
>
> ______________________________________________
> [hidden email] mailing list
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide
> http://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.
>

        [[alternative HTML version deleted]]

______________________________________________
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Re: Asymmetrical Confidence Interval

Muhuri, Pradip (SAMHSA/CBHSQ)
In reply to this post by Patrick Connolly-4
Dear Patrick,


I do agree with you that it is a very simple problem.  Actually, I do have the following SAS program written to compute the asymmetrical confidence interval.

As a new user of R, I just wanted to see the corresponding codes in R if they already exist.

Thanks,

Pradip



*SAS program begins here;

/********************************************************
MEAN = prevalence rate
PLOWER = lower 95% confidence limit for the rate
PPER = upper 95% confidence limit for the rate
TLOWER = lower 95% confidence limit for the total
TUPPER = upper 95% confidence limit for the total

Calculate the 95% CI FOR PREVALENCE RATES AND TOTALS
********************************************************/

IF MEAN=0 OR MEAN=1 THEN DO;
      L=.;
      NUMBER=.;
      A=.;  B=.;
      PLOWER=.; PUPPER=.; TLOWER=.; TUPPER=.;
END;


ELSE DO;

      L=LOG(MEAN/(1-MEAN));
      NUMBER=SEMEAN/(MEAN*(1-MEAN));
      A=L-1.96*NUMBER;
      B=L+1.96*NUMBER;
      PLOWER=1/(1+EXP(-A));  PUPPER=1/(1+EXP(-B));
      TLOWER=WSUM*PLOWER;    TUPPER=WSUM*PUPPER;

END;

RUN;

*SAS program ends here:


Pradip K. Muhuri, PhD
Statistician
Substance Abuse & Mental Health Services Administration
The Center for Behavioral Health Statistics and Quality
Division of Population Surveys
1 Choke Cherry Road, Room 7-1023
Rockville, MD 20857

Tel: 240-276-1070
Fax: 240-276-1260
e-mail: [hidden email]


The Center for Behavioral Health Statistics and Quality your feedback.  Please click on the following link to complete a brief customer survey:   http://cbhsqsurvey.samhsa.gov

-----Original Message-----
From: Patrick Connolly [mailto:[hidden email]]
Sent: Sunday, June 19, 2011 1:57 AM
To: Muhuri, Pradip (SAMHSA/CBHSQ)
Cc: [hidden email]; '[hidden email]'
Subject: Re: [R] Asymetrical Confidence Interval

On Thu, 16-Jun-2011 at 04:43PM -0400, Muhuri, Pradip (SAMHSA/CBHSQ) wrote:

|>
|> Dear List,
|>

|> I wanted to calculate the asymmetrical confidence interval based on
|> the sample statistic and standard error that available from the
|> published report (complex survey-based).

|> The calculation details can be seen from pages 17-18 of the
|> document at the following link:
|> http://www.oas.samhsa.gov/nsduh/2k5MRB/2k5statInference.pdf.

|>
|> Could someone tell me whether R has any function included in it
|> "survey" or other contributed package of R.

There might be one in a package somewhere, but it's so trivial to make
your own function by using the information you already have.

This is sounding suspiciously like a homework question.


--
~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.  
   ___    Patrick Connolly  
 {~._.~}                   Great minds discuss ideas    
 _( Y )_           Average minds discuss events
(:_~*~_:)                  Small minds discuss people  
 (_)-(_)                        ..... Eleanor Roosevelt
         
~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.

______________________________________________
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https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.
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Re: Asymmetrical Confidence Interval

David Winsemius
Learn to search the Archives (or at least one of the forms of the  
Archives)

http://search.r-project.org/cgi-bin/namazu.cgi?query=confidence+interval+logit+proportion&max=100&result=normal&sort=score&idxname=functions&idxname=Rhelp08&idxname=Rhelp10&idxname=Rhelp02

(That is constructed with an URL I use for the purpose that brings up  
the RSiteSearch page with different parameters than are currently in  
the default implementation. This is an R function that does the same:

 > rhelpSearch
function(string,
                   restrict = c("Rhelp10", "Rhelp08", "Rhelp02",  
"functions" ),
                   matchesPerPage = 100, ...)
          RSiteSearch(string=string,  restrict = restrict,  
matchesPerPage = matchesPerPage, ...)

--
David
On Jun 20, 2011, at 8:50 AM, Muhuri, Pradip (SAMHSA/CBHSQ) wrote:

> Dear Patrick,
>
>
> I do agree with you that it is a very simple problem.  Actually, I  
> do have the following SAS program written to compute the  
> asymmetrical confidence interval.
>
> As a new user of R, I just wanted to see the corresponding codes in  
> R if they already exist.
>
> Thanks,
>
> Pradip
>
>
>
> *SAS program begins here;
>
> /********************************************************
> MEAN = prevalence rate
> PLOWER = lower 95% confidence limit for the rate
> PPER = upper 95% confidence limit for the rate
> TLOWER = lower 95% confidence limit for the total
> TUPPER = upper 95% confidence limit for the total
>
> Calculate the 95% CI FOR PREVALENCE RATES AND TOTALS
> ********************************************************/
>
> IF MEAN=0 OR MEAN=1 THEN DO;
>      L=.;
>      NUMBER=.;
>      A=.;  B=.;
>      PLOWER=.; PUPPER=.; TLOWER=.; TUPPER=.;
> END;
>
>
> ELSE DO;
>
>      L=LOG(MEAN/(1-MEAN));
>      NUMBER=SEMEAN/(MEAN*(1-MEAN));
>      A=L-1.96*NUMBER;
>      B=L+1.96*NUMBER;
>      PLOWER=1/(1+EXP(-A));  PUPPER=1/(1+EXP(-B));
>      TLOWER=WSUM*PLOWER;    TUPPER=WSUM*PUPPER;
>
> END;
>
> RUN;
>
> *SAS program ends here:
>
>
> Pradip K. Muhuri, PhD
> Statistician
> Substance Abuse & Mental Health Services Administration
> The Center for Behavioral Health Statistics and Quality
> Division of Population Surveys
> 1 Choke Cherry Road, Room 7-1023
> Rockville, MD 20857
>
> Tel: 240-276-1070
> Fax: 240-276-1260
> e-mail: [hidden email]
>
>
> The Center for Behavioral Health Statistics and Quality your  
> feedback.  Please click on the following link to complete a brief  
> customer survey:   http://cbhsqsurvey.samhsa.gov
>
> -----Original Message-----
> From: Patrick Connolly [mailto:[hidden email]]
> Sent: Sunday, June 19, 2011 1:57 AM
> To: Muhuri, Pradip (SAMHSA/CBHSQ)
> Cc: [hidden email]; '[hidden email]'
> Subject: Re: [R] Asymetrical Confidence Interval
>
> On Thu, 16-Jun-2011 at 04:43PM -0400, Muhuri, Pradip (SAMHSA/CBHSQ)  
> wrote:
>
> |>
> |> Dear List,
> |>
>
> |> I wanted to calculate the asymmetrical confidence interval based on
> |> the sample statistic and standard error that available from the
> |> published report (complex survey-based).
>
> |> The calculation details can be seen from pages 17-18 of the
> |> document at the following link:
> |> http://www.oas.samhsa.gov/nsduh/2k5MRB/2k5statInference.pdf.
>
> |>
> |> Could someone tell me whether R has any function included in it
> |> "survey" or other contributed package of R.
>
> There might be one in a package somewhere, but it's so trivial to make
> your own function by using the information you already have.
>
> This is sounding suspiciously like a homework question.
>
>
> --
> ~
> .~
> .~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.
>   ___    Patrick Connolly
> {~._.~}                   Great minds discuss ideas
> _( Y )_           Average minds discuss events
> (:_~*~_:)                  Small minds discuss people
> (_)-(_)                        ..... Eleanor Roosevelt
>
> ~
> .~
> .~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.~.
>
> ______________________________________________
> [hidden email] mailing list
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.

David Winsemius, MD
West Hartford, CT

______________________________________________
[hidden email] mailing list
https://stat.ethz.ch/mailman/listinfo/r-help
PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
and provide commented, minimal, self-contained, reproducible code.
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