confint.estLCCR function

Confidence interval

Profile confidence interval for a latent class model with covariates.

## S3 method for class 'estLCCR'
confint(object, parm = list(), level = 0.95, ...)

Arguments

• object: output from estLCCR
• parm: a list containing control arguments for the step length of the N values(step, default value depending on the estimate of N), range of N values in terms of distance of the log-likelhood from the its maximum (mult, default value 1.5), and maximum value of this grid as a multiple of the estimate of this parameter (max, default value 5)
• level: the confidence level required
• ...: additional argument(s) for methods

Returns

• conf: confidence interval

• Nv: vector of values of N tried

• lkv: corresponding vector of log-likelihood values

• level: level of confidence

• Nh: point estimate of N

• lkh: maximum log-likelihood values

• lk1: log-likelihood value at the lower bound

• lk2: log-likelihood value at the upper bound

• step: step used in the grid search

• err: error in the grid search

References

Forcina, A. and Bartolucci, F. (2021). Estimating the size of a closed population by modeling latent and observed heterogeneity, arXiv:2106.03811.

Liu, Y., Li, P., and Qin, J. (2017). Maximum empirical likelihood estimation for abundance in a closed population from capture-recapture data. Biometrika, 104 , 527-543.

Author(s)

Francesco Bartolucci, Antonio Forcina

See Also

estLCCR, plot.confLCCR

Examples

data(data_sim2)
est = estLCCR(Y=data_sim2$Y,H=2,W=data_sim2$W,biv=matrix(c(1,2,3,4,2,3,4,5),4),main="same")
conf = confint(est)
plot(conf)