Kia ora I'm a using lme (from nlme package) with data similar to the Orthodont dataset and am getting positive log-likelihoods (>100). This seems usual and I wondered if someone could offer a possible explanation. I can supply a sample dataset if requested, but I feel almost certain that this question has been asked and answered recently. However, I can find no trace of it in the mail archives (although I have spent several hours reading lots of other interesting things :-)). Thanks ......... Peter Alspach ______________________________________________________ The contents of this e-mail are privileged and/or confidenti...{{dropped}}
The "likelihood" is the probability density function, which can be greater than 1 for continuous distributions with a fairly narrow spread. For discrete distributions, the density never exceeds 1, in which case the log(likelihood) would always be negative(*). hope this helps. spencer graves (*) If you are using measure-theoretic probability with some non-standard measure, it might be possible to get a discrete probability density greater than 1. One might want to use such as a class exercise, but I can't think of a real world application for such. Peter Alspach wrote:>Kia ora > >I'm a using lme (from nlme package) with data similar to the Orthodont dataset and am getting positive log-likelihoods (>100). This seems usual and I wondered if someone could offer a possible explanation. > >I can supply a sample dataset if requested, but I feel almost certain that this question has been asked and answered recently. However, I can find no trace of it in the mail archives (although I have spent several hours reading lots of other interesting things :-)). > >Thanks ......... > >Peter Alspach > > >______________________________________________________ > >The contents of this e-mail are privileged and/or confidenti...{{dropped}} > >______________________________________________ >R-help at 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 > >
Hi Peter, Why do you think positive log-likelihoods are unusual? consider:> dnorm(1,1,0.1)[1] 3.989423> log(dnorm(1,1,0.1))[1] 1.383647 Any log-likelihood would be a sum of such terms. Hth, ingmar On 2/16/05 11:02 PM, "Peter Alspach" <PAlspach at hortresearch.co.nz> wrote:> > Kia ora > > I'm a using lme (from nlme package) with data similar to the Orthodont dataset > and am getting positive log-likelihoods (>100). This seems usual and I > wondered if someone could offer a possible explanation. > > I can supply a sample dataset if requested, but I feel almost certain that > this question has been asked and answered recently. However, I can find no > trace of it in the mail archives (although I have spent several hours reading > lots of other interesting things :-)). > > Thanks ......... > > Peter Alspach > > > ______________________________________________________ > > The contents of this e-mail are privileged and/or confidenti...{{dropped}} > > ______________________________________________ > R-help at 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-- Ingmar Visser Roetersstraat 15 1018 WB Amsterdam The Netherlands i.visser at uva.nl http://users.fmg.uva.nl/ivisser/