BW2stageSRS  R Documentation 
Compute components of relvariance for a sample design where primary sampling units (PSUs) and elements are selected via srs. The input is an entire sampling frame.
BW2stageSRS(X, psuID, lonely.SSU)
X 
data vector; length is the number of elements in the population. 
psuID 
vector of PSU identification numbers. This vector must be as long as 
lonely.SSU 
indicator for how singleton SSUs should be handled when computing the within PSU unit relvariance. Allowable values are 
BW2stageSRS
computes the between and within population relvariance components
appropriate for a twostage sample in which PSUs are selected via srs (either with or without replacement). Elements within PSUs are assumed to be selected by srswor. The same number of elements is assumed to be selected within each sample PSU. The function requires that an entire frame of PSUs and elements be input.
If a PSU contains multiple SSUs, some of which have missing data, or contains only one SSU, a value is imputed. If lonely.SSU = "mean"
, the mean of the nonmissing PSU contributions is imputed. If lonely.SSU = "zero"
, a 0 is imputed. The former would be appropriate if a PSU contains multiple SSUs but one or more of them has missing data in which case R will normally calculate
an NA. The latter would be appropriate if the PSU contains only one SSU which would be selected with certainty in any sample.
(Use BW2stagePPSe
if only a sample of PSUs and elements are available.)
List with values:
B2 
between PSU unit relvariance 
W2 
within PSU unit relvariance 
unit relvar 
unit relvariance for population 
B2+W2 

k 
ratio of 
delta full 
intraclass correlation estimated as 
Richard Valliant, Jill A. Dever, Frauke Kreuter
Cochran, W.G. (1977, chap. 11). Sampling Techniques. New York: John Wiley & Sons.
Valliant, R., Dever, J., Kreuter, F. (2018, sect. 9.2.1). Practical Tools for Designing and Weighting Survey Samples, 2nd edition. New York: Springer.
BW2stagePPS
, BW2stagePPSe
, BW3stagePPS
, BW3stagePPSe
data(MDarea.pop)
MDsub < MDarea.pop[1:100000,]
# psu's are defined by PSU variable
BW2stageSRS(abs(MDsub$Hispanic2), psuID=MDsub$PSU, lonely.SSU="mean")
# psu's are defined by SSU variable
BW2stageSRS(abs(MDsub$Hispanic2), psuID=MDsub$SSU, lonely.SSU="mean")
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