dcdf.size.total: Deconvoluted Size-weighted Cumulative Distribution function...
In mhweber/spsurvey: Spatial Survey Design and Analysis

Description Usage Arguments Value Author(s)

This function calculates an estimate of the size-weighted, deconvoluted cumulative distribution function (CDF) for the total of a discrete resource. The simulation extrapolation deconvolution method (Stefanski and Bay, 1996) is use to deconvolute measurement error variance from the response. If the known sum of the size-weights of the resource is provided, the classic ratio estimator is used to calculate the estimate. That estimator is the product of the known sum of the size-weights 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 size-weighted total of the resource equal to or less than a specified value. The denominator of the ratio estimates the sum of the size-weights of the resource. If the known sum of the size-weights of the resource is not provided, the Horvitz-Thompson estimator of the size-weighted total of the resource equal to or less than a specified value is used to calculate the estimate. The function can accomodate single-stage and two-stage samples.

1	dcdf.size.total(g, wgt, cluster.ind, cluster, wgt1, popsize, swgt, swgt1)

`g`	Vector of the values of the deconvolution function g(.) evaluated at a specified value for the response value for each site.
`wgt`	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.
`cluster.ind`	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.
`cluster`	Vector of the stage one sampling unit (primary sampling unit or cluster) code for each site.
`wgt1`	Vector of the final adjusted stage one weight for each site.
`popsize`	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.
`swgt`	Vector of the size-weight for each site, which is the stage two size-weight for a two-stage sample.
`swgt1`	Vector of the stage one size-weight for each site.