survey (version 4.4-2)

poisson_sampling: Specify Poisson sampling design

Description

Specify a design where units are sampled independently from the population, with known probabilities. This design is often used theoretically, but is rarely used in practice because the sample size is variable. This function calls ppscov to specify a sparse sampling covariance matrix.

Usage

poisson_sampling(p)

Value

Object of class ppsdcheck

Arguments

p

Vector of sampling probabilities

See Also

ppscov, svydesign

Examples

data(api)
apipop$prob<-with(apipop, 200*api00/sum(api00))
insample<-as.logical(rbinom(nrow(apipop),1,apipop$prob))
apipois<-apipop[insample,]
despois<-svydesign(id=~1, prob=~prob, pps=poisson_sampling(apipois$prob), data=apipois)

svytotal(~api00, despois)

## SE formula
sqrt(sum( (apipois$api00*weights(despois))^2*(1-apipois$prob)))