This function calculates an estimate of the deconvoluted cumulative distribution function (CDF) for the total of a discrete or an extensive resource. The simulation extrapolation deconvolution method (Stefanski and Bay, 1996) is use to deconvolute measurement error variance from the response. If the known extent of the resource is provided, the classic ratio estimator is used to calculate the estimate. That estimator is the product of the known extent of the resource and the Horvitz-Thompson ratio estimator, where the latter is the ratio of two Horvitz-Thompson estimators. The numerator of the ratio estimates the total of the resource equal to or less than a specified value. The denominator of the ratio estimates the extent of the resource. If the known extent of the resource is not provided, the Horvitz-Thompson estimator of the total of the resource equal to or less than a specified value is used to calculate the estimate. For a discrete resource, size is the number of units in the resource. For an extensive resource, size is the measure of the resource, i.e., length, area, or volume. The function can accomodate single-stage and two-stage samples.
dcdf.total(g, wgt, cluster.ind, cluster, wgt1, popsize)Vector of the values of the deconvolution function g(.) evaluated at a specified value for the response value for each site.
Vector of the final adjusted weight (inverse of the sample inclusion probability) for each site, which is either the weight for a single- stage sample or the stage two weight for a two-stage sample.
Logical value that indicates whether the sample is a two- stage sample, where TRUE = a two-stage sample and FALSE = not a two-stage sample.
Vector of the stage one sampling unit (primary sampling unit or cluster) code for each site.
Vector of the final adjusted stage one weight for each site.
Known size of the resource, which is used to perform ratio adjustment to estimators expressed using measurement units for the resource. For a finite resource, this argument is either the total number of sampling units or the known sum of size-weights. For an extensive resource, this argument is the measure of the resource, i.e., either known total length for a linear resource or known total area for an areal resource. For a stratified sample this variable must be a vector containing a value for each stratum and must have the names attribute set to identify the stratum codes.
The deconvoluted CDF estimate.