When selecting a bootstrap sample,which of the following statements is true?
A)We select another sample from the population of interest.This resample must have the same number of observations as the original sample.
B)We select a sample with replacement from the original sample observations.This resample must have the same number of observations as the original sample.
C)We select another sample from the population of interest.This resample must have more observations than the original sample in order to increase the accuracy of our estimates.
D)We select a sample without replacement from the original sample observations.This resample must have the same number of observations as the original sample.
E)We select a sample with replacement from the original sample observations.This resample must have fewer observations than the original sample.

Question

Quizplus · Accepted Answer

When selecting a bootstrap sample, we select a sample with replacement from the original sample observations, and this resample must have the same number of observations as the original sample. This is because the purpose of bootstrap sampling is to estimate the population parameters from the original sample without collecting new data, and sampling with replacement allows for the creation of multiple resamples to estimate the variability of the statistic of interest. Sampling without replacement or selecting a resample with more or fewer observations than the original sample would not accurately represent the original population and could bias the results.

When Selecting a Bootstrap Sample,which of the Following Statements Is