nlme (version 3.1-86)

intervals.lme: Confidence Intervals on lme Parameters

Description

Approximate confidence intervals for the parameters in the linear mixed-effects model represented by object are obtained, using a normal approximation to the distribution of the (restricted) maximum likelihood estimators (the estimators are assumed to have a normal distribution centered at the true parameter values and with covariance matrix equal to the negative inverse Hessian matrix of the (restricted) log-likelihood evaluated at the estimated parameters). Confidence intervals are obtained in an unconstrained scale first, using the normal approximation, and, if necessary, transformed to the constrained scale. The pdNatural parametrization is used for general positive-definite matrices.

Usage

## S3 method for class 'lme':
intervals(object, level, which, \dots)

Value

a list with components given by data frames with rows corresponding to parameters and columns lower, est., and upper representing respectively lower confidence limits, the estimated values, and upper confidence limits for the parameters. Possible components are:fixedfixed effects, only present when which is not equal to "var-cov".reStructrandom effects variance-covariance parameters, only present when which is not equal to "fixed".corStructwithin-group correlation parameters, only present when which is not equal to "fixed" and a correlation structure is used in object.varFuncwithin-group variance function parameters, only present when which is not equal to "fixed" and a variance function structure is used in object.sigmawithin-group standard deviation.

References

Pinheiro, J.C., and Bates, D.M. (2000) "Mixed-Effects Models in S and S-PLUS", Springer.

See Also

lme, intervals, print.intervals.lme, pdNatural

Examples

fm1 <- lme(distance ~ age, Orthodont, random = ~ age | Subject)
intervals(fm1)