R: Raking of replicate weight design

rake {survey} | R Documentation

## Raking of replicate weight design

### Description

Raking uses iterative post-stratification to match marginal distributions of a survey sample to known population margins.

### Usage

    rake(design, sample.margins, population.margins, control = list(maxit =
    10, epsilon = 1, verbose=FALSE), compress=NULL)

### Arguments

`design` | A survey object
`sample.margins` | list of formulas or data frames describing sample margins, which must not contain missing values
`population.margins` | list of tables or data frames describing corresponding population margins
`control` | `maxit` controls the number of iterations. Convergence is declared if the maximum change in a table entry is less than `epsilon`. If `epsilon<1` it is taken to be a fraction of the total sampling weight.
`compress` | If `design` has replicate weights, attempt to compress the new replicate weight matrix? When `NULL`, will attempt to compress if the original weight matrix was compressed

### Details

The `sample.margins` should be in a format suitable for `postStratify`.

Raking (aka iterative proportional fitting) is known to converge for any table without zeros, and for any table with zeros for which there is a joint distribution with the given margins and the same pattern of zeros. The ‘margins’ need not be one-dimensional.

The algorithm works by repeated calls to `postStratify` (iterative proportional fitting), which is efficient for large multiway tables. For small tables `calibrate` will be faster, and also allows raking to population totals for continuous variables, and raking with bounded weights.

### Value

A raked survey design.

### See Also

`postStratify`, `compressWeights`

`calibrate` for other ways to use auxiliary information.

### Examples

    data(api)
    dclus1 <- svydesign(id=~dnum, weights=~pw, data=apiclus1, fpc=~fpc)
    rclus1 <- as.svrepdesign(dclus1)

    svymean(~api00, rclus1)
    svytotal(~enroll, rclus1)

    ## population marginal totals for each stratum
    pop.types <- data.frame(stype=c("E","H","M"), Freq=c(4421,755,1018))
    pop.schwide <- data.frame(sch.wide=c("No","Yes"), Freq=c(1072,5122))

    rclus1r <- rake(rclus1, list(~stype,~sch.wide), list(pop.types, pop.schwide))

    svymean(~api00, rclus1r)
    svytotal(~enroll, rclus1r)

    ## marginal totals correspond to population
    xtabs(~stype, apipop)
    svytable(~stype, rclus1r, round=TRUE)
    xtabs(~sch.wide, apipop)
    svytable(~sch.wide, rclus1r, round=TRUE)

    ## joint totals don't correspond
    xtabs(~stype+sch.wide, apipop)
    svytable(~stype+sch.wide, rclus1r, round=TRUE)

    ## Do it for a design without replicate weights
    dclus1r<-rake(dclus1, list(~stype,~sch.wide), list(pop.types, pop.schwide))

    svymean(~api00, dclus1r)
    svytotal(~enroll, dclus1r)

    ## compare to raking with calibrate()
    dclus1gr<-calibrate(dclus1, ~stype+sch.wide, pop=c(6194, 755,1018,5122),
               calfun="raking")
    svymean(~stype+api00, dclus1r)
    svymean(~stype+api00, dclus1gr)

    ## compare to joint post-stratification
    ## (only possible if joint population table is known)
    ##
    pop.table <- xtabs(~stype+sch.wide,apipop)
    rclus1ps <- postStratify(rclus1, ~stype+sch.wide, pop.table)
    svytable(~stype+sch.wide, rclus1ps, round=TRUE)

    svymean(~api00, rclus1ps)
    svytotal(~enroll, rclus1ps)

    ## Example of raking with partial joint distributions
    pop.imp<-data.frame(comp.imp=c("No","Yes"),Freq=c(1712,4482))
    dclus1r2<-rake(dclus1, list(~stype+sch.wide, ~comp.imp),
                   list(pop.table, pop.imp))
    svymean(~api00, dclus1r2)

    ## compare to calibrate() syntax with tables
    dclus1r2<-calibrate(dclus1, formula=list(~stype+sch.wide, ~comp.imp),
                   population=list(pop.table, pop.imp),calfun="raking")
    svymean(~api00, dclus1r2)

[Package survey version 3.32-1 Index]