# confint-MASS

From MASS v7.3-18
by Brian Ripley

##### Confidence Intervals for Model Parameters

Computes confidence intervals for one or more parameters in a fitted
model. Package `glm`

and `nls`

fits.

- Keywords
- models

##### Usage

```
## S3 method for class 'glm':
confint(object, parm, level = 0.95, trace = FALSE, \dots)
```## S3 method for class 'nls':
confint(object, parm, level = 0.95, \dots)

##### Arguments

- object
- a fitted model object. Methods currently exist for the classes
`"glm"`

,`"nls"`

and for profile objects from these classes. - parm
- a specification of which parameters are to be given confidence intervals, either a vector of numbers or a vector of names. If missing, all parameters are considered.
- level
- the confidence level required.
- trace
- logical. Should profiling be traced?
- ...
- additional argument(s) for methods.

##### Details

`confint`

is a generic function in package `stats`

.
These `confint`

methods call the appropriate profile method,
then find the confidence intervals by interpolation in the profile
traces. If the profile object is already available it should be used
as the main argument rather than the fitted model object itself.

##### Value

- A matrix (or vector) with columns giving lower and upper confidence limits for each parameter. These will be labelled as (1 - level)/2 and 1 - (1 - level)/2 in % (by default 2.5% and 97.5%).

##### References

Venables, W. N. and Ripley, B. D. (2002)
*Modern Applied Statistics with S.* Fourth edition. Springer.

##### See Also

##### Examples

```
expn1 <- deriv(y ~ b0 + b1 * 2^(-x/th), c("b0", "b1", "th"),
function(b0, b1, th, x) {})
wtloss.gr <- nls(Weight ~ expn1(b0, b1, th, Days),
data = wtloss, start = c(b0=90, b1=95, th=120))
expn2 <- deriv(~b0 + b1*((w0 - b0)/b1)^(x/d0),
c("b0","b1","d0"), function(b0, b1, d0, x, w0) {})
wtloss.init <- function(obj, w0) {
p <- coef(obj)
d0 <- - log((w0 - p["b0"])/p["b1"])/log(2) * p["th"]
c(p[c("b0", "b1")], d0 = as.vector(d0))
}
out <- NULL
w0s <- c(110, 100, 90)
for(w0 in w0s) {
fm <- nls(Weight ~ expn2(b0, b1, d0, Days, w0),
wtloss, start = wtloss.init(wtloss.gr, w0))
out <- rbind(out, c(coef(fm)["d0"], confint(fm, "d0")))
}
dimnames(out) <- list(paste(w0s, "kg:"), c("d0", "low", "high"))
out
ldose <- rep(0:5, 2)
numdead <- c(1, 4, 9, 13, 18, 20, 0, 2, 6, 10, 12, 16)
sex <- factor(rep(c("M", "F"), c(6, 6)))
SF <- cbind(numdead, numalive = 20 - numdead)
budworm.lg0 <- glm(SF ~ sex + ldose - 1, family = binomial)
confint(budworm.lg0)
confint(budworm.lg0, "ldose")
```

*Documentation reproduced from package MASS, version 7.3-18, License: GPL-2 | GPL-3*

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