Positive-Definite Matrix with Compound Symmetry Structure
This function is a constructor for the pdCompSymm
class,
representing a positive-definite matrix with compound symmetry
structure (constant diagonal and constant off-diagonal elements). The
underlying matrix is represented by 2 unrestricted parameters.
When value
is numeric(0)
, an unitialized pdMat
object, a one-sided formula, or a vector of character strings,
object
is returned as an uninitialized pdCompSymm
object (with just some of its attributes and its class defined) and
needs to have its coefficients assigned later, generally using the
coef
or matrix
replacement functions. If value
is
an initialized
pdMat
object, object
will be constructed from
as.matrix(value)
. Finally, if value
is a numeric vector
of length 2, it is assumed to represent the unrestricted coefficients
of the underlying positive-definite matrix.
pdCompSymm(value, form, nam, data)
value |
an optional initialization value, which can be any of the
following: a |
form |
an optional one-sided linear formula specifying the
row/column names for the matrix represented by |
nam |
an optional vector of character strings specifying the
row/column names for the matrix represented by object. It must have
length equal to the dimension of the underlying positive-definite
matrix and unreplicated elements. This argument is ignored when
|
data |
an optional data frame in which to evaluate the variables
named in |
a pdCompSymm
object representing a positive-definite
matrix with compound symmetry structure, also inheriting from class
pdMat
.
José Pinheiro and Douglas Bates bates@stat.wisc.edu
Pinheiro, J.C., and Bates, D.M. (2000) "Mixed-Effects Models in S and S-PLUS", Springer, esp. p. 161.
pd1 <- pdCompSymm(diag(3) + 1, nam = c("A","B","C")) pd1
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