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Why does the bootstrap method require sampling with replacement? What would happen if bootstrap resampling was...

Why does the bootstrap method require sampling with replacement? What would happen if bootstrap resampling was used, but the samples were without replacement?

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Answer #1

Suppose,we draw samples from a population.Now,we are trying to re-sample using the Bootstrapping method.

In this case ,if we use the scheme of sampling without replacement,then each bootstrap samples would be identical to the original sample,as we dont return the sample units after drawing.This leads to no variation of the sample values even after simulating large number of times,and the values of sample statistics would be the same,and we cannot find out any proper confidence interval for population characteristics under consideration.

Right answer ----B .

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