Rao-Scott weights.

Usage

rsb(y = NULL, n = NULL, formula = NULL, data = NULL, id = NULL)

Arguments

y: vector of number positive.
n: vector of total number.
formula: Formula of the form cbind(y, n) ~ id, where y is the number positive, n is the total number, id is a factor for estimating the weights by subset.
data: data.frame containing variables of formula.
id: vector of factor for estimating the weights by subset.

Value

A list with the following elements.

w: vector of weights
d: vector of \({d}_{i}\) estimates

Details

Estimates the cluster design effect \({d}_{i}\) as the variance inflation due to clustering by the method of Rao and Scott. rsb estimates the \({d}_{i}\) for use by rsbWt or other functions.

References

Rao JNK, Scott AJ, 1992. A simple method for the analysis of clustered binary data. Biometrics 48:577-585.

Author

PF-package

Examples

# Weil's rat data (Table 1 of Rao and Scott)
rsb(rat$y, rat$n, id = rat$group)$d
#>  control  treated 
#> 1.232495 3.952861 
#  control  treated
# 1.232495 3.952861
rsb(data = rat, formula = cbind(y, n) ~ group)$d
#>  control  treated 
#> 1.232495 3.952861 
#  control  treated
# 1.232495 3.952861