Relvariance components for 2-stage sample
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)
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 |
BW2stageSRS
computes the between and within population relvariance components
appropriate for a two-stage 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.
(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 |
B^2 + W^2 |
k |
ratio of B^2 + W^2 to unit relvariance |
delta full |
intraclass correlation estimated as B^2/(B^2 + W^2) |
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. (2013, sect. 9.2.1). Practical Tools for Designing and Weighting Survey Samples. New York: Springer.
data(MDarea.pop) MDsub <- MDarea.pop[1:100000,] # psu's are defined by PSU variable BW2stageSRS(abs(MDsub$Hispanic-2), psuID=MDsub$PSU) # psu's are defined by SSU variable BW2stageSRS(abs(MDsub$Hispanic-2), psuID=MDsub$SSU)
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