corSymm {nlme} | R Documentation |

## General Correlation Structure

### Description

This function is a constructor for the `corSymm`

class,
representing a general correlation structure. The internal
representation of this structure, in terms of unconstrained
parameters, uses the spherical parametrization defined in Pinheiro and
Bates (1996). Objects created using this constructor must later be
initialized using the appropriate `Initialize`

method.

### Usage

corSymm(value, form, fixed)

### Arguments

`value` |
an optional vector with the parameter values. Default is
`numeric(0)` , which results in a vector of zeros of appropriate
dimension being assigned to the parameters when `object` is
initialized (corresponding to an identity correlation structure). |

`form` |
a one sided formula of the form `~ t` , or ```
~ t |
g
``` , specifying a time covariate `t` and, optionally, a
grouping factor `g` . A covariate for this correlation structure
must be integer valued. When a grouping factor is present in
`form` , the correlation structure is assumed to apply only
to observations within the same grouping level; observations with
different grouping levels are assumed to be uncorrelated. Defaults to
`~ 1` , which corresponds to using the order of the observations
in the data as a covariate, and no groups. |

`fixed` |
an optional logical value indicating whether the
coefficients should be allowed to vary in the optimization, or kept
fixed at their initial value. Defaults to `FALSE` , in which case
the coefficients are allowed to vary. |

### Value

an object of class `corSymm`

representing a general correlation
structure.

### Author(s)

Jose Pinheiro Jose.Pinheiro@pharma.novartis.com and Douglas Bates bates@stat.wisc.edu

### References

Pinheiro, J.C. and Bates., D.M. (1996) "Unconstrained
Parametrizations for Variance-Covariance Matrices", Statistics and
Computing, 6, 289-296.

### See Also

`Initialize.corSymm`

### Examples

## covariate is observation order and grouping factor is Subject
cs1 <- corSymm(form = ~ 1 | Subject)

[Package

*nlme* version 3.1-57

Index]