Bootstrapping by hand

To help you gain intuition about how bootstrapping works, imagine you have a data set that has only three points, [-1, 0, 1]. How many unique bootstrap samples can be drawn (e.g., [-1, 0, 1] and [1, 0, -1] are unique), and what is the maximum mean you can get from a bootstrap sample? It might be useful to jot down the samples on a piece of paper.

(These are too few data to get meaningful results from bootstrap procedures, but this example is useful for intuition.)

Possible answers

There are 3 unique samples, and the maximum mean is 0.

There are 10 unique samples, and the maximum mean is 0.

There are 10 unique samples, and the maximum mean is 1.

There are 27 unique samples, and the maximum mean is 0.

There are 27 unique samples, and the maximum mean is 1.

Exercise

Bootstrapping by hand

Instructions

Possible answers