Generate an HMT population
Generate a population that follows the model in Hansen, Madow, and Tepping (1983)
HMT(N=5000, H=10)
N |
population size |
H |
number of strata |
HMT generates a population based on the model: E(y)= α + β x, Var(y)=σ^2x^{3/2}. Both x and y have gamma distributions. Strata are formed to have approximately the same total of x.
N x 3 matrix with columns:
strat |
stratum ID |
x |
auxiliary variable x |
y |
analysis variable y |
Richard Valliant, Jill A. Dever, Frauke Kreuter
Hansen,M.H., Madow,W.G., and Tepping,B.J. (1983). An evaluation of model-dependent and probability sampling inferences in sample surveys. Journal of the American Statistical Association, 78, 776-793.
# generate HMT population with 1000 units and 5 strata and plot results pop <- HMT(N=1000, H=5) plot(pop[,"x"],pop[,"y"])
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