The pps Package. R topics documented: November 22, Version Date Title Functions for PPS sampling

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1 The pps Package November 22, 2005 Versio 0.94 Date Title Fuctios for PPS samplig Author Jack G. Gambio Maitaier Jack G. Gambio The pps package cotais fuctios to select samples usig PPS (probability proportioal to size) samplig. It also icludes a fuctio for stratified simple radom samplig, a fuctio to compute joit iclusio probabilities for Sampford s method of PPS samplig, ad a few utility fuctios. The user s guide pps-ug.pdf is icluded. Licese GPL versio 2 or later R topics documeted: calif califcty permuteistrata pps ppss ppssstrat ppswr sampford sampfordpi sizesok stratsrs stratumsizes Idex 10 1

2 2 califcty calif Califoria places See user s guide califcty Califoria couties See user s guide

3 permuteistrata 3 permuteistrata Radomize uits withi strata Radomize the order of uits withi each stratum permuteistrata(stratsizes) stratsizes A vector cotaiig the size of each stratum Returs the vector of permuted idices. I the example below, the retured vector has 29 elemets. stratsizes <- c(9,10,10) # strata have 9, 10 ad 10 uits, respectively permuteistrata(stratsizes) pps1 Select oe uit with PPS Use PPS systematic samplig to select a sigle uit out of N pps1(sizes) sizes A vector of the sizes of the uits i the populatio Returs the idex of the uit that was selected

4 4 ppssstrat sizes <- c(9,2,5,17,4,21,15,7,4,11,23,23,14) sampleidex <- pps1(sizes) ppss PPS systematic samplig Use PPS systematic samplig to select a sample of uits out of N ppss(sizes,) sizes A vector of the sizes of the uits i the populatio The sample size Returs the idices of the uits that were selected i the sample sizes <- c(9,2,5,17,4,21,15,7,4,11,23,23,14) sampleidices <- ppss(sizes,4) ppssstrat Stratified PPS systematic samplig I each stratum, select a sample usig pps systematic samplig ppssstrat(sizes,stratum,) sizes stratum A vector of the sizes of the uits i the populatio, sorted by stratum A vector of stratum codes, i the same order A vector cotaiig the sample size i each stratum

5 ppswr 5 Returs the idices of the uits that were selected i the sample ppssstrat calls ppss oce per stratum. sizes <- c(1:5,10:6)*10 strat <- c(1,1,1,2,2,3,3,3,3,3) <- c(2,1,3) ppssstrat(sizes,strat,) ppswr PPS samplig with replacemet Use PPS samplig to select a sample of uits out of N with replacemet ppswr(sizes,) sizes A vector of the sizes of the uits i the populatio The sample size Returs the idices of the uits that were selected i the sample sizes <- c(9,2,5,17,4,21,15,7,4,11,23,23,14) sampleidices <- ppswr(sizes,4)

6 6 sampfordpi sampford Sampford s PPS samplig method Use Sampford s method to select a PPS sample of uits sampford(size,) size A vector of the sizes of the uits i the populatio The sample size Returs the idices of the uits that were selected i the sample The fuctio sampfordpi ca be used to compute joit iclusio probabilities for this method. size <- c(9,2,5,17,4,21,15,7,4,11,23,23,14) sampleidices <- sampford(size,4) sampfordpi Joit iclusio probabilities for Sampford s PPS samplig method Compute joit iclusio probabilities for Sampford s method of PPS samplig sampfordpi(sizes,) sizes A vector of the sizes of the uits i the populatio The sample size Returs a matrix with the iclusio probability pi(i) for each uit i i the populatio ad with the joit iclusio probability pi(i,j) of uits i ad j i positio (i,j) i the matrix, where i ad j are ot equal. that the size of the matrix is NxN, where N is the populatio size.

7 sizesok 7 The fuctio sampford ca be used to select a sample usig Sampford s method. See the user s guide, pps.pdf, for more iformatio. sizes <- c(9,2,5,17,4,21,15,7,4,11,23,23,14) piij <- sampfordpi(sizes,4) weights <- 1/diag(piij) # the weights oe would use for estimatio sizesok Check that uit sizes are ot too big See user s guide sizesok(size,) size A vector of the sizes of the uits i the populatio The sample size Returs the umber of "bad" uits

8 8 stratumsizes stratsrs Stratified simple radom samplig I each stratum, select a simple radom sample stratsrs(stratum,h) stratum h A vector of stratum codes, sorted by stratum A vector cotaiig the sample size i each stratum Returs the idices of the uits that were selected i the sample strat <- c(1,1,1,1,1,2,2,2,3,3,3,3,3,3,3) # stratum 1 has 5 uits, etc. h <- c(2,1,3) # select 2 uits from stratum 1, 1 from stratum 2 ad 3 from 3 stratsrs(strat,h) stratumsizes Compute size of each stratum Give a vector of sorted stratum idicators, returs the umber of uits i each stratum stratumsizes(stratum) stratum A vector of sorted stratum idicators Returs the umber of uits i each stratum

9 stratumsizes 9

10 Idex Topic survey calif, 1 califcty, 2 permuteistrata, 2 pps1, 3 ppss, 3 ppssstrat, 4 ppswr, 4 sampford, 5 sampfordpi, 6 sizesok, 6 stratsrs, 7 stratumsizes, 8 calif, 1 califcty, 2 permuteistrata, 2 pps1, 3 ppss, 3 ppssstrat, 4 ppswr, 4 sampford, 5 sampfordpi, 6 sizesok, 6 stratsrs, 7 stratumsizes, 8 10

Package pps. February 15, 2013

Package pps. February 15, 2013 Package pps February 15, 2013 Versio 0.94 Date 2005-11-21 Title Fuctios for PPS samplig Author Jack G. Gambio Maitaier Jack G. Gambio The pps package cotais