X-Git-Url: https://git.donarmstrong.com/?a=blobdiff_plain;f=man%2Face.Rd;h=1fc5d0147f791682af8aca4605888caeee006db0;hb=48681c35f7904c17b064de9c6bf96d84581e9e52;hp=126a21604047e56ed508433fddae6c55633aa112;hpb=80d1c453d63d6aec18f0b731d59918b99e189d86;p=ape.git diff --git a/man/ace.Rd b/man/ace.Rd index 126a216..1fc5d01 100644 --- a/man/ace.Rd +++ b/man/ace.Rd @@ -23,8 +23,8 @@ ace(x, phy, type = "continuous", method = "ML", CI = TRUE, \item{type}{the variable type; either \code{"continuous"} or \code{"discrete"} (or an abbreviation of these).} \item{method}{a character specifying the method used for - estimation. Three choices are possible: \code{"ML"}, \code{"pic"}, - or \code{"GLS"}.} + estimation. Four choices are possible: \code{"ML"}, \code{"REML"}, + \code{"pic"}, or \code{"GLS"}.} \item{CI}{a logical specifying whether to return the 95\% confidence intervals of the ancestral state estimates (for continuous characters) or the likelihood of the different states (for discrete @@ -75,13 +75,22 @@ ace(x, phy, type = "continuous", method = "ML", CI = TRUE, \code{corStruct}. In the default setting (i.e., \code{method = "ML"} and \code{model = - "BM"}) the maximum likelihood estimation is done simultaneously on - the ancestral values and the variance of the Brownian motion process; + "BM"}) the maximum likelihood estimation is done simultaneously on the + ancestral values and the variance of the Brownian motion process; these estimates are then used to compute the confidence intervals in - the standard way (see the package \pkg{geiger} for a different - implementation). If \code{method = "pic"} or \code{"GLS"}, the - confidence intervals are computed using the expected variances under - the model, so they depend only on the tree. + the standard way. The REML method first estimates the ancestral value + at the root (aka, the phylogenetic mean), then the variance of the + Brownian motion process is estimated by optimizing the residual + log-likelihood. The ancestral values are finally inferred from the + likelihood function giving these two parameters. If \code{method = + "pic"} or \code{"GLS"}, the confidence intervals are computed using + the expected variances under the model, so they depend only on the + tree. + + It could be shown that, with a continous character, REML results in + unbiased estimates of the variance of the Brownian motion process + while ML gives a downward bias. Therefore, the former is recommanded + over the latter, even though it is not the default. For discrete characters (\code{type = "discrete"}), only maximum likelihood estimation is available (Pagel 1994). The model is