Hello, I am having trouble obtaining AIC or pseudo R2 for nonlinear quantile regression fits. I would like to use one of these measures to compare non-nested models (each with a unique predictor variable).
For example, I am trying to fit the following gaussian peak model using the quantreg package: fit1.nlrq <- nlrq(y ~ a*exp(-((x-b)/c)**2), data=data, start = list(a=.2,b=25.5,c=1), tau=0.5, trace=T); (and so on, for multiple tau; I want to compare this model at each tau to a similar model that has, say, "x1" in place of "x" as its predictor variable.) Parameter estimates and predictions for these models look as expected, but when I try to use AIC(fit1.nlrq) or AIC.nlrq(fit1.nlrq) I get the following output numeric(0) attr(,"edf") [1] 0 Similarly, logLik(fit1.nlrq) yields 'log Lik.' (df=0) I unfortunately do not understand why there are 0 df for the log likelihood. Can someone advise? As an alternative, I could perhaps calculate a pseudo R2. I think this would be [1 - (deviance of fitted model/ deviance of null model)] but don't know how to obtain the deviance for the relevant null models. Any code or advice on this front would also be greatly appreciated. (Also confused about why I can obtain deviance but not AIC or logLik, I thought these three values were closely related to one another; I would be uneasy to calculate AIC by hand from deviance when the package refuses to do so, until I understand better what is going on.) If there is a more desirable alternative for comparing among non-nested, nonlinear, quantile regression models, I would be glad to hear it. I am new to R and to R-help and would be happy to provide more details of my code or output if this would be useful. Many thanks for any insight. sessionInfo is as follows: R version 3.0.0 (2013-04-03) Platform: x86_64-w64-mingw32/x64 (64-bit) locale: [1] LC_COLLATE=English_United States.1252 LC_CTYPE=English_United States.1252 [3] LC_MONETARY=English_United States.1252 LC_NUMERIC=C [5] LC_TIME=English_United States.1252 attached base packages: [1] stats graphics grDevices utils datasets methods base other attached packages: [1] quantreg_4.98 SparseM_1.02 loaded via a namespace (and not attached): [1] tools_3.0.0 -- Elsa Youngsteadt Department of Entomology North Carolina State University [[alternative HTML version deleted]] ______________________________________________ R-help@r-project.org 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.