Compute optimal sample sizes for a two-stage sample
Compute the sample sizes that minimize the variance of the pwr-estimator of a total in a two-stage sample.
clusOpt2(C1, C2, delta, unit.rv, k=1, CV0=NULL, tot.cost=NULL, cal.sw)
C1 |
unit cost per primary sampling unit (PSU) |
C2 |
unit cost per element |
delta |
homogeneity measure δ |
unit.rv |
unit relvariance |
k |
ratio of B^2 + W^2 to unit relvariance |
CV0 |
target CV |
tot.cost |
total budget for variable costs |
cal.sw |
specify type of optimum:
1 = find optimal |
clusOpt2 will compute m_{opt} and \bar{n}_{opt} for a two-stage sample
which uses simple random sampling at each stage or ppswr at the first stage and srs at the second.
List with values:
C1 |
unit cost per PSU |
C2 |
unit cost per element |
delta |
homogeneity measure |
unit relvar |
unit relvariance |
k |
ratio of B^2 + W^2 to unit relvariance |
cost |
total budget for variable costs, C-C_{0} if |
m.opt |
optimum number of sample PSUs |
n.opt |
optimum number of sample elements per PSU |
CV |
computed CV if |
Richard Valliant, Jill A. Dever, Frauke Kreuter
Hansen,M.H., Hurwitz,W.N., and Madow,W.G. (1953, chap. 6, sect. 16). Sample Survey Methods and Theory, Vol.I. John Wiley & Sons.
Valliant, R., Dever, J., Kreuter, F. (2013, sect. 9.3.1). Practical Tools for Designing and Weighting Survey Samples. New York: Springer.
# optimum for a fixed total budget
clusOpt2(C1=750, C2=100, delta=0.05, unit.rv=1, k=1, tot.cost=100000, cal.sw=1)
# optimum for a target CV
clusOpt2(C1=750, C2=100, delta=0.01, unit.rv=1, k=1, CV0=0.05, cal.sw=2)Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.