Tille sampling
Uses the Tillé's method to select a sample of units (unequal probabilities, without replacement, fixed sample size).
UPtille(pik,eps=1e-6)
pik |
vector of the inclusion probabilities. |
eps |
the control value, by default equal to 1e-6. |
Returns a vector (with elements 0 and 1) of size N, the population size. Each element k of this vector indicates the status of unit k (1, unit k is selected in the sample; 0, otherwise). The value eps is used to control pik (pik>eps & pik < 1-eps).
Tillé, Y. (1996), An elimination procedure of unequal probability sampling without
replacement, Biometrika, 83:238-241.
Deville, J.-C. and Tillé, Y. (1998),
Unequal probability sampling without replacement through a splitting method,
Biometrika, 85:89-101.
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## Example 1
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#defines the prescribed inclusion probabilities
pik=c(0.2,0.7,0.8,0.5,0.4,0.4)
#selects a sample
s=UPtille(pik)
#the sample is
(1:length(pik))[s==1]
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## Example 2
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# see in the 'UPexamples' vignette
# vignette("UPexamples", package="sampling")Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.