A large simple random sample is selected from a certain population and the statistic of interest is calculated.Suppose we bootstrap this statistic and obtain the following bootstrap distribution. Which of the following 95% bootstrap intervals is best to use?
A)The bootstrap t interval
B)The bootstrap percentile interval
C)The BCa interval
D)Because the sample was large,we can use any of the above.

Question

A large simple random sample is selected from a certain population and the statistic of interest is calculated.Suppose we bootstrap this statistic and obtain the following bootstrap distribution.  Which of the following 95% bootstrap intervals is best to use?
A)The bootstrap t interval 
B)The bootstrap percentile interval 
C)The BCa interval 
D)Because the sample was large,we can use any of the above.

Quizplus · Accepted Answer

The BCa (Bias-Corrected and accelerated) interval is typically the best choice for bootstrap intervals as it corrects for bias and adjusts for skewness in the bootstrap distribution. It also takes into account asymmetry in the distribution of the bootstrap samples. Therefore, it is more accurate than the other intervals, especially when the sample size is smaller.

A Large Simple Random Sample Is Selected from a Certain