clusOpt3 {PracTools} | R Documentation |
Compute optimal sample sizes for a three-stage sample
Description
Compute the sample sizes that minimize the variance of the pwr-estimator of a total in a three-stage sample.
Usage
clusOpt3(unit.cost, delta1, delta2, unit.rv, k1=1, k2=1, CV0=NULL, tot.cost=NULL, cal.sw)
Arguments
unit.cost |
vector with three components for unit costs:
|
delta1 |
homogeneity measure among elements within PSUs |
delta2 |
homogeneity measure among elements within SSUs |
unit.rv |
population unit relvariance |
k1 |
ratio of |
k2 |
ratio of |
CV0 |
target CV |
tot.cost |
total budget for variable costs |
cal.sw |
specify type of optimum:
1 = find optimal |
Details
clusOpt3
will compute m_{opt}
, \bar{n}_{opt}
, and \bar{\bar{q}}_{opt}
for a three-stage sample which uses simple random sampling at each stage or ppswr
at the first stage and srs at the second and third stages.
Value
List with values:
C1 |
unit cost per PSU |
C2 |
unit cost per SSU |
C3 |
unit cost per element |
delta1 |
homogeneity measure among elements within PSUs |
delta2 |
homogeneity measure among elements within SSUs |
unit relvar |
unit relvariance |
k1 |
ratio of |
k2 |
ratio of |
cost |
total budget for variable costs if |
m.opt |
optimum number of sample PSUs |
n.opt |
optimum number of sample SSUs per PSU |
q.opt |
optimum number of sample elements per SSU |
CV |
achieved CV if |
Author(s)
Richard Valliant, Jill A. Dever, Frauke Kreuter
References
Hansen,M.H., Hurwitz,W.N., and Madow,W.G. (1953, p. 225). Sample Survey Methods and Theory, Vol.II. John Wiley & Sons.
Valliant, R., Dever, J., Kreuter, F. (2018, sect. 9.3.2). Practical Tools for Designing and Weighting Survey Samples, 2nd edition. New York: Springer.
See Also
clusOpt2
, clusOpt2fixedPSU
, clusOpt3fixedPSU
Examples
# optima for a fixed total budget
clusOpt3(unit.cost=c(500, 100, 120), delta1=0.01, delta2=0.10, unit.rv=1,
k1=1, k2=1, tot.cost=100000,cal.sw=1)
# optima for a target CV
clusOpt3(unit.cost=c(500, 100, 120), delta1=0.01, delta2=0.10, unit.rv=1,
k1=1, k2=1, CV0=0.01,cal.sw=2)