Calculate Wald og Likelihood based (profile likelihood) confidence intervals

# S3 method for lvmfit
confint(
object,
parm = seq_len(length(coef(object))),
level = 0.95,
profile = FALSE,
curve = FALSE,
n = 20,
interval = NULL,
lower = TRUE,
upper = TRUE,
...
)

## Arguments

object

lvm-object.

parm

Index of which parameters to calculate confidence limits for.

level

Confidence level

profile

Logical expression defining whether to calculate confidence limits via the profile log likelihood

curve

if FALSE and profile is TRUE, confidence limits are returned. Otherwise, the profile curve is returned.

n

Number of points to evaluate profile log-likelihood in over the interval defined by interval

interval

Interval over which the profiling is done

lower

If FALSE the lower limit will not be estimated (profile intervals only)

upper

If FALSE the upper limit will not be estimated (profile intervals only)

...

Additional arguments to be passed to the low level functions

## Value

A 2xp matrix with columns of lower and upper confidence limits

## Details

Calculates either Wald confidence limits: $$\hat{\theta} \pm z_{\alpha/2}*\hat\sigma_{\hat\theta}$$ or profile likelihood confidence limits, defined as the set of value $$\tau$$: $$logLik(\hat\theta_{\tau},\tau)-logLik(\hat\theta)< q_{\alpha}/2$$

where $$q_{\alpha}$$ is the $$\alpha$$ fractile of the $$\chi^2_1$$ distribution, and $$\hat\theta_{\tau}$$ are obtained by maximizing the log-likelihood with tau being fixed.

bootstrap{lvm}

Klaus K. Holst

## Examples


m <- lvm(y~x)
d <- sim(m,100)
e <- estimate(lvm(y~x), d)
confint(e,3,profile=TRUE)
#>          2.5 %   97.5 %
#> y~~y 0.5888514 1.026329
confint(e,3)
#>          2.5 %    97.5 %
#> y~~y 0.5547589 0.9802276
## Reduce Ex.timings
B <- bootstrap(e,R=50)
B
#> Non-parametric bootstrap statistics (R=50):
#>
#>      Estimate     Bias         Std.Err      2.5 %        97.5 %
#> y     0.124504326 -0.007753062  0.073936733  0.008375347  0.288089457
#> y~x   1.061750034  0.013940880  0.074844578  0.949601761  1.235976345
#> y~~y  0.767493210 -0.026454597  0.100031344  0.584892411  0.986727053
#>