3.7 CalculateHorvitz–Thompson and weighting class estimates of the overall mean of Y in the following artificial example of a stratified random sample, where the xi and yi values displayed are observed, the selection probabilities ????i are known, and the response probabilities, ????i, are (unrealistically)

assumed to be known for the Horvitz–Thompson estimate but are assumed to be unknown for the weighting class estimates. Note that various weighting class estimates could be created, depending on how the weighting classes are defined.

Data for Problem 3.7:

xi 1 2 3 4 5 6 7 8 9 10 yi 1 4 3 2 6 10 14 ? ? ?

????i 0.1 0.1 0.1 0.1 0.1 0.5 0.5 0.5 0.5 0.5

????i 1 1 1 0.9 0.9 0.8 0.7 0.6 0.5 0.1 Problems 65