Question: Rao (1963) discusses the following rejective method for selecting a pps sample without replacement: Select n psus with probabilities i and with replacement. If any

Rao (1963) discusses the following rejective method for selecting a pps sample without replacement: Select n psus with probabilities ψi and with replacement. If any psu appears more than once in the sample, reject the whole sample and select another n psus with replacement. Repeat until you obtain a sample of n psus with no duplicates. Calculate πij and πi for this procedure, for n = 2.

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