PSUSamplingParametersData: PSU Sampling Design Parameters
In StoXProject/RstoxFDA: Fisheries Dependent Analysis with RstoX

PSUSamplingParametersData

R Documentation

PSU Sampling Design Parameters

Description

Sampling parameters for selection of Primary Sampling Units

Details

Encodes information about the selection of Primary Sampling Units in multi-stage sampling, used in analytical design based estimation. Information is encoded in three tables.

The SampleTable encodes information about the sample of sampling units:

Stratum: Mandatory, chr: Identifies the stratum the sample is taken from. Treat unstratified sample as single-stratum sampling (provide only one stratum.
N: Optional, num: The total number of PSUs in Stratum (total available for selection, not total selected)
n: Optional, num: The number of PSUs selected from the Stratum
SelectionMethod: Mandatory, chr: 'Poission', 'FSWR' or 'FSWOR'. The manner of selection for use in bootstrap or inference of inclusionProbabilities, selectionProbabilites, co-inclusion probabilities or co-selection probabilities.
FrameDescription: Optional, chr: Free text field describing the sampling frame.

The SelectionTable encodes information abut the selection of sampling units for sampling:

Stratum: Mandatory, chr: Identifies the stratum the PSU is taken from.
Order: Optional, num: Identifes the order of seleciton. May be necessary for inference when selections are not independent (e.g. FSWOR)
SamplingUnitId: Optional, chr: Identifes PSU. NA encodes non-response
InclusionProbability: Optional, num: The inclusion probability of the PSU
HTsamplingWeight: Optional, num: The normalized Horvitz-Thompson sampling weight of the PSU
SelectionProbability: Optional, num: The selection probability of the PSU
HHsamplingWeight: Optional, num: The normalized Hansen-Hurwitz sampling weight of the PSU
SelectionDescription: Optional, chr: Free text description of the PSU.

The StratificationVariables table encodes information about which columns in the sampleTable are stratification variables (if any):

Stratum: Mandatory, chr: Identifies the stratum. In addition the Stratum is identified by the combination of all other columns on this table.
...: Mandatory if present (may not contain NAs), chr: Additional columns in the sampleTable that are stratification variables.

Optional columns may be NA.

The selection methods available for 'SelectionMethod' are explained here:

Poission: Poission sampling. Selection is performed randomly without replacement, and each selection is performed individually. Sample size is not fixed, and 'n' represents the expected sample size.
FSWR: Fixed sample size with replacement. A random selection of a fixed sample size 'n' is chosen with replacement
FSWOR: Fixed sample size without replacement. A random selection of a fixed sample size 'n' is chosen without replacement. Order of selection could be specified in the 'selectionTable'

The SelectionProbability is defined as:: The probability of selecting the sampling unit when it was selected from the population.
The HHsamplingWeight:: The normalized sampling weight, or the fraction of the stratum represented by the sampled unit when estimating with the Hansen-Hurwitz strategy: 1 / (SelectionProbability*Q) , where Q is the sum of the reciprocal of the SelectionProbabilites for the sampled units. For equal probability sampling with replacement, this is simply 1/n, where n i sample size.
The InclusionProbability is defined as:: The probability of the sampling unit being included in the sample.
The HTsamplingWeight:: The normalized sampling weight, or the fraction of the stratum represented by the sample when estimating with the Horvitz-Thompson strategy: 1 / (InclusionProbability*P), where P is the sum of the reciprocal of the InclusionProbabilites for the sampled units. For equal probability sampling without replacement, this is simply 1/n, where n is sample size.