nlreg (version 1.2-2.2)

summary.nlreg.profile: Summary Method for Objects of Class `nlreg.profile'

Description

Returns a summary list for objects of class nlreg.profile.

Usage

# S3 method for nlreg.profile
summary(object, alpha = 0.05, twoside = TRUE, digits = NULL, …)

Arguments

object

a nlreg.profile object, that is, the result of a call to profile.nlreg.

alpha

a vector of levels for confidence intervals; the default is \(1-\alpha=0.95\).

twoside

a logical value. If TRUE, two-sided confidence intervals are returned. The default is TRUE.

digits

the number of significant digits to be printed.

…

absorbs any additional argument.

Value

A list is returned with the following components:

CI

a matrix with \(k\dim(\code{alpha})\) rows and 2 columns, where \(k\) equals 2 or 4 depending on whether hoa = TRUE in the call that generated object. This matrix contains the upper and lower confidence bounds for the considered test statistics and for the confidence levels specified through alpha.

inf.sk, np.sk, inf.fr, np.fr

the information and nuisance parameters aspects, that is, the two terms into which the higher order adjustment leading to the \(r^*\) statistic can be decomposed. The two versions refer to respectively Skovgaard's (1996) proposal and Fraser, Reid and Wu's (1999) solution. Only if hoa = TRUE in the function call that generated the nlreg.profile object argument object.

mle

a numerical vector giving the MLE of the parameter of interest and its standard error.

offset

character string giving the name of the interest parameter.

twoside

a logical value indicating whether two-sided or one-sided confidence intervals were calculated.

points

the number of output points at which the considered statistics were calculated exactly.

n

the approximate number of points used in the spline interpolation of the considered statistics.

hoa

a logical value indicating whether higher order solutions were calculated.

digits

the number of significant digits to be printed.

call

an image of the call that produced the object, but with all arguments named.

…

absorbs additional arguments.

Details

This function is a method for the generic function summary for objects of class nlreg.profile. It can be invoked by calling summary or directly summary.nlreg.profile for an object of the appropriate class.

References

Fraser, D.A.S., Reid, N. and Wu, J. (1999). A simple general formula for tail probabilities for frequentist and Bayesian inference. Biometrika, 86, 249--264.

Skovgaard, I. (1996) An explicit large-deviation approximation to one-parameter tests. Bernoulli, 2, 145--165.

See Also

nlreg.profile.object, profile.nlreg, summary

Examples

# NOT RUN {
data(metsulfuron)
metsulfuron.nl <- 
    nlreg( formula = log(area) ~ log( b1+(b2-b1) / (1+(dose/b4)^b3) ), 
           weights = ~ ( 1+dose^exp(g) )^2, data = metsulfuron, 
           start = c(b1 = 138, b2 = 2470, b3 = 2, b4 = 0.07, g = log(0.3)),
           hoa = TRUE )
##
metsulfuron.prof <- profile( metsulfuron.nl, offset = g, trace = TRUE )
summary( metsulfuron.prof, alpha = c(0.9, 0.95) )
# }