STAT 344 Chapter Notes - Chapter unit4: Bias Of An Estimator, Sampling Distribution, Standard Deviation
6 Feb 2018
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Over the last decade, one increasingly sees the results of poll aggregation in the media. The essential task here is to synthesize together the results of multiple surveys of the same population. As a rst pass at this say k studies or surveys are conducted, and one can reasonably assume the k results are statistically independent of one another. To make things concrete, say interest lies in a population proportion p, and the i-th survey result is summarized via its sample proportion pi estimating p, with standard error sei re ecting the precision of this estimate. And the sizes of the standard errors might vary considerably across the studies, say due to some of the surveys having much larger sample sizes than others. + wk pk, being an estimate of p, so long as these weights sum to one, i. e. , pk.
