Description Usage Arguments Details Value
Likelihood for a given alignment and tree model (tree and transition probabilities between states for each edge). Sums over missing data (elimination algorithm). General trees, any node can be missing.
1 2 3 4 5 6 7 8 | mcTreeLike(ali, edgeMat, transProb, eqFreq, takeLog=FALSE)
mcTreeLike.3states.inv(ali, mult=1, sumUp=TRUE, multMult=TRUE)
mcTreeLike.3states.GTR.bhom(pars, ali, mult=1, edgeMat, takeLog=FALSE, logPars=FALSE, sumUp=TRUE)
mcTreeLike.3states.GTR.bhom.gamma(pars, ali, mult=1, edgeMat, takeLog=FALSE, logPars=FALSE, sumUp=TRUE, details=FALSE)
mcTreeLike.3states.GTR.bhom.gamma.inv(pars, ali, mult=1, edgeMat, takeLog=FALSE, logPars=FALSE, sumUp=TRUE, details=FALSE)
optimize.mcTreeLike.3states.GTR.bhom(pars,ali,mult=1,edgeMat,takeLog=FALSE)
optimize.mcTreeLike.3states.GTR.bhom.gamma(pars,ali,mult=1,edgeMat,takeLog=FALSE)
optimize.mcTreeLike.3states.GTR.bhom.gamma.inv(pars,ali,mult=1,edgeMat,takeLog=FALSE)
|
pars |
Vector: Parameters describing the substitution model on the tree (see Details) |
ali |
Matrix: (number of tree nodes) x (number of observations). Contains integers, each representing a state in the Markov chain. Columns are observations, rows tree-nodes. |
mult |
Vector: Multiplicity of alignment columns. Allows the use of sufficient statistics. |
edgeMat |
Matrix: integer edge matrix of the tree in bottom-up order. Two columns: first is the from-nodes (indexes), second the to-nodes for
each edge. Tree needs to be rooted. Nodes are integers that correspond to rows |
transProb |
Array: transition matrix for each edge. (number of states) x (number of states) x (number of edges in tree) |
eqFreq |
Vector: The equilibrium frequencies at the root node of the tree. |
takeLog |
Logical: Should log be taken while calculating likelihood? |
logPars |
Logical: Are parameters |
sumUp |
Logical: Should the likelihood be summed over alignment columns, or should the likelihood for each column be reported separately? |
details |
Logical: For mixture models: Should the likelihood of each component be returned, or should the components be (weighted and) summed? |
multMult |
Logical: If multiplicities are given ( |
All function calculate the log-likelihood, given a model specification. mcTreeLike
is the most generic, and is used by all the
other functions (except mcTreeLike.3state.inv
) after converting parameter values into transition probabilities. The matrix
edgeMat
contains integers referencing rows in ali
as the tree nodes. It needs to be provided in bottom-up order, such that
its rows provide a traversal from the leafs to the root of the tree.
cTreeLike.3state.inv
Calculates the likelihood assuming invariable states only. It uses the frequencies of completely-observed
(i.e., no missing data )invariable states in ali
and does not need additional parameters.
Likelihood of observations with more than one state is zero.
Observations with only one state and missing data are assigned the likelihood of the compatible invariant state.
mcTreeLike.3state.GTR.bhom
Branch-homogeneous model. The parameter vector is organized as follows:
pars[1:3]
: Equilibrium frequencies
pars[4:6]
: Rate parameters (1->3, 1->3, 2->3)
pars[-(1:6)]
: Branch lengths of the tree
The functions with the optimize
prefeix optimize the respective likelihood function, given data and initial parameters pars
.
treeLike
returns a vector containing the likelihood for each column in the alignment matrix ali
. If takeLog == TRUE
it is on log scale.
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