Description Usage Arguments Details Value Note References Examples
Compute profile likelihood confidence intervals for ‘beta’ or ‘real’ parameters of a spatially explicit capturerecapture model,
1 2 3 
object 

parm 
numeric or character vector of parameters 
level 
confidence level (1 – alpha) 
newdata 
optional dataframe of values at which to evaluate model 
tracelevel 
integer for level of detail in reporting (0,1,2) 
tol 
absolute tolerance (passed to uniroot) 
bounds 
numeric vector of outer starting values – optional 
... 
other arguments (not used) 
If parm
is numeric its elements are interpreted as the indices of
‘beta’ parameters; character values are interpreted as ‘real’
parameters. Different methods are used for beta parameters and real
parameters. Limits for the jth beta parameter are found by a
numerical search for the value satisfying 2(l_j(beta_j)  l) = q, where l is the maximized log
likelihood, l_j(beta_j) is the maximized profile log
likelihood with beta_j fixed, and q is the
100(1alpha) quantile of the
chisquare distribution with one degree of freedom. Limits
for real parameters use the method of Lagrange multipliers (Fletcher and
Faddy 2007), except that limits for constant real parameters are
backtransformed from the limits for the relevant beta parameter.
If bounds
is provided it should be a 2vector or matrix of 2
columns and length(parm) rows.
A matrix with one row for each parameter in parm
, and columns
giving the lower (lcl) and upper (ucl) 100*level
Calculation may take a long time, so probably you will do it only after selecting a final model.
The R function uniroot
is used to search for the roots of
2(l_j(beta_j)  l) = q within a
suitable interval. The interval is anchored at one end by the MLE, and
at the other end by the MLE inflated by a small multiple of the
asymptotic standard error (1, 2, 4 or 8 SE are tried in turn, using the
smallest for which the interval includes a valid solution).
A more efficient algorithm was proposed by Venzon and Moolgavkar (1988);
it has yet to be implemented in secr, but see plkhci
in
the package Bhat for another R implementation.
Evans, M. A., Kim, H.M. and O'Brien, T. E. (1996) An application of profilelikelihood based confidence interval to capture–recapture estimators. Journal of Agricultural, Biological and Experimental Statistics 1, 131–140.
Fletcher, D. and Faddy, M. (2007) Confidence intervals for expected abundance of rare species. Journal of Agricultural, Biological and Experimental Statistics 12, 315–324.
Venzon, D. J. and Moolgavkar, S. H. (1988) A method for computing profilelikelihoodbased confidence intervals. Applied Statistics 37, 87–94.
1 2 3 4 5  ## Not run:
## Limits for the constant real parameter "D"
confint(secrdemo.0, "D")
## End(Not run)

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