diff --git a/DESCRIPTION b/DESCRIPTION index 382395b..b421f77 100644 --- a/DESCRIPTION +++ b/DESCRIPTION @@ -2,7 +2,7 @@ Package: durmod Type: Package Title: Mixed Proportional Hazard Competing Risk Model Version: 1.1 -Date: 2019-07-14 +Date: 2019-07-15 Authors@R: person("Simen", "Gaure", email="simen@gaure.no", role=c("aut","cre"), comment=c(ORCID="https://orcid.org/0000-0001-7251-8747")) URL: https://github.com/sgaure/durmod diff --git a/vignettes/biblio.bib b/vignettes/biblio.bib index 42092f8..0c5d846 100644 --- a/vignettes/biblio.bib +++ b/vignettes/biblio.bib @@ -57,3 +57,15 @@ @article{lindsay83II volume = {11}, year = {1983} } + + +@book{BA02, +title={Model selection and multimodel inference}, +author={Burnham, Kenneth P and Anderson, David R}, +year={2002}, +publisher={Springer}, +address={New York}, +edition={2nd}, +ISBN={0-387-95364-7} +} + diff --git a/vignettes/whatmph.Rnw b/vignettes/whatmph.Rnw index 903fed9..c41ac26 100644 --- a/vignettes/whatmph.Rnw +++ b/vignettes/whatmph.Rnw @@ -251,13 +251,17 @@ the lowest AIC yields satisfactory results. We did not, however, have any theore for doing this, and still don't. It is easy to look at the estimates with the lowest AIC: <<>>= summary(fit[[which.min(sapply(fit,AIC))]]) -@ -AIC is generally used to pick a model which is parsimonious, but still explains the -data well, i.e. to avoid overparameterization. AIC has an interpretation as the distance -between the model and reality. However, since the points are not found in a canonical order, -the AIC is really not well defined in these models. Another estimation of the -same data may find the points in a different order, with different log likelihoods along the way, -resulting in another set of points having the lowest AIC in the new estimation. +@ + +AIC is generally used to pick a model which is parsimonious, but +still explains the data well, i.e. to avoid overparameterization. AIC +has an interpretation as the distance between the model and reality, +see e.g.\ \cite{BA02}. However, since the points are not found in a +canonical order, the AIC is really not well defined in these +models. Another estimation of the same data may find the points in a +different order, with different log likelihoods along the way, +resulting in another set of points having the lowest AIC in the new +estimation. Also, keep in mind that the method of using a discrete distribution in this way is \emph{not} an ``approximation''. When the likelihood can't be improved by