STATS 250 Lecture Notes - Lecture 5: Provisional Ballot, Bias Of An Estimator

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25 May 2016
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STATS 250 Full Course Notes
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Use mathematical properties to show that the expected value of statistics are unbiased. Given an arbitrary sampling design, let s be a sample of size n that is feasible given the sampling design. When pi i >0 is the probability of inclusion for observation, tau-hat is an unbiased estimator for tau. The survey consists of 2 samples from cuyahoga county, some voters casted provisional ballots, some did not. Provisionals are sampled from a list that contains all people who casted a provisional ballot. The voters are sampled from voters in the same local areas as the provisionals included in that sample. Nonprovisional voter matches were found in 12 zip-9 areas, 135 zip-8 areas, 224 zip-7 areas, 8 zip-6 areas, 7 zip-5 areas and 2 zip-4 areas. The goal is to estimate the conditional distribution of casting a provisional ballot with respect to various variables that were measured in the survey instruments used.

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