Optimal number of sample elements per PSU in a two-stage sample when the sample of PSUs is fixed
Compute the optimum number of sample elements per primary sampling unit (PSU) for a fixed set of PSUs
clusOpt2fixedPSU(C1, C2, m, delta, unit.rv, k=1, CV0=NULL, tot.cost, cal.sw)
C1 |
unit cost per PSU |
C2 |
unit cost per element |
m |
number of sample PSU's (fixed) |
delta |
homogeneity measure |
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 \bar{n} for fixed total budget; 2 = find optimal \bar{n} for target CV0 |
clusOpt2fixedPSU will compute \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. The PSU sample is fixed.
List with values:
C1 |
unit cost per PSU |
C2 |
unit cost per element |
m |
number of (fixed) sample PSUs |
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 |
n |
optimum number of sample elements per PSU |
CV |
computed CV if |
Richard Valliant, Jill A. Dever, Frauke Kreuter
Valliant, R., Dever, J., Kreuter, F. (2013, sect. 9.3.3). Practical Tools for Designing and Weighting Survey Samples. New York: Springer.
# optima for a vector of budgets
clusOpt2fixedPSU(C1=500, C2=100, m=100, delta=0.05, unit.rv=2, k=1, CV0=NULL,
tot.cost=c(100000, 500000, 10^6), cal.sw=1)
# optima for a target CV and vector of PSU costs
clusOpt2fixedPSU(C1=c(500,1000,5000), C2=100, m=100, delta=0.05, unit.rv=2, k=1,
CV0=0.05, tot.cost=NULL, cal.sw=2)Please choose more modern alternatives, such as Google Chrome or Mozilla Firefox.