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I am trying to understand weights or multipliers allocated to sample in my data(for my research work). They have given a formula as how weight is calculated and how aggregates are to be obtained. But what I am trying to understand is how they obtained the formula for multiplier which they have not given. Is there any online reference where I can understand how they derived the formula I mean based on First stage sample drawn from startified sampling method second stage Simple random sampling and like that. I need a basic text.

Thanks in advance