Question

Question 3. [7 marks] Fill in the blanks. Please keep the asterisks so your answers
are bolded in the rendered file.

The bootstrap method is used to compute **_______________**,

 

while the permutation test is used to conduct **_______________**.

 

Bootstrapping involves taking repeated simple random samples **_______________** replacement

 

from the original sample of the **_______________** size as the original sample.
For each bootstrap, the statistic of interest is calculated (say the median).

 
These bootstrapped statistics are then plotted on a **_______________** and the

 

**_______________** and **_______________** quantiles are computed to calculate a
95% confidence interval.

Answer 1

bootstrap method is used to compute confidence intervals

while the permutation test is used for testing hypothesis

bootstraping involves taking repeated simple random samples without replacement from the original sample of the same size as the original sample

These bootstrapped statistics are then plotted on a boxplot

and the 97.5th and 2.5th quantiles are computed to calculate a 95% confidence interval

Results are plotted as boxplots with point estimates. If there is no rarefaction applied, confidence intervals are displayed around the point estimates. The boxplots represent the actual values from the bootstrapping and will often appear below the estimates and confidence intervals.