Roger Koenker
[email protected]




On Nov 5, 2011, at 1:02 PM, Julia Lira wrote:


Dear David,

Indeed rq() accepts a vector fo tau. I used the example given by Frank to run

fitspl4 <- summary(rq(b1 ~ rcs(x,4), tau=c(a1,a2,a3,a4)))

and it works.

I even can use anova() to test equality of slopes jointly across quantiles. however, it would be interesting to test among different specifications, e.g. rcs(x,4) against rcs(x,3). but it does not work.

Probably because the models aren't nested...

Thanks for all suggestions!

Julia

From: [email protected]
Date: Sat, 5 Nov 2011 13:42:34 -0400
To: [email protected]
CC: [email protected]
Subject: Re: [R] linear against nonlinear alternatives - quantile regression

I suppose this constitutes thread drift, but your simple example, Frank, made wonder if Rq() accepts a vector argument for tau. I seem to remember that Koencker's rq() does.. Normally I would consult the help page, but the power is still out here in Central Connecticut and I am corresponding with a less capable device. I am guessing that if Rq() does accept such a vector that the form of the nonlinearity would be imposed at all levels of tau.

--
David

On Nov 5, 2011, at 10:43 AM, Frank Harrell <[email protected]> wrote:

Just to address a piece of this - in the case in which you are currently
focusing on only one quantile, the rms package can help by fitting
restricted cubic splines for covariate effects, and then run anova to test for nonlinearity (sometimes a dubious practice because if you then remove
nonlinear terms you are mildly cheating).

require(rms)
f <- Rq(y ~ x1 + rcs(x2,4), tau=.25)
anova(f)  # tests associations and nonlinearity of x2

Frank

Julia Lira wrote:

Dear all,

I would like to know whether any specification test for linear against nonlinear model hypothesis has been implemented in R using the quantreg
package.

I could read papers concerning this issue, but they haven't been
implemented at R. As far as I know, we only have two specification tests in this line: anova.rq and Khmaladze.test. The first one test equality and significance of the slopes across quantiles and the latter one test if the linear specification is model of location or location and scale shift.

Do you have any suggestion?

Thanks a lot!

Best regards,

Julia

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-----
Frank Harrell
Department of Biostatistics, Vanderbilt University
--
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