The following table gives population values for a small population of clusters:

You wish to select two psus without replacement with probabilities of inclusion proportional to Mi. Using Brewer€™s method from Exercise 25, construct a table of Ï€ij for the possible samples. What is the variance of the one-stage Horvitz€“Thompson estimator?

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psu,M Values, Vij 20 25 3 8 7,2,9,4,5,32,6 38 5 3,5,4,6,2 4 7,4,7,7 5 2,5, 3, 6, 8 3 9,7,5 24 21