Question

Correct implementation of the bootstrapping procedure will follow which of the following conditions? Select all that apply.

a. Resamples must be drawn with replacement.
b. Resamples must be drawn without replacement.
c. Resamples must be the same size as the original sample size.
d. Resamples must be of different sizes than the original sample size.

Answer 1

The correct bootstrapping procedure involves resampling with replacement and making sure resamples are the same size as the original sample size. These methods ensure that each resample represents the population correctly, and the resampling process remains independent.

Step-by-step explanation:

The correct implementation of the bootstrapping procedure typically involves the following conditions:

• Resamples must be drawn with replacement.
• Resamples must be the same size as the original sample size.

Bootstrapping is a resampling technique used to estimate statistics on a population by sampling a dataset with replacement. It involves taking repeated samples from the original dataset. When sampling with replacement, a member of the population may be chosen more than once, making the events independent. Thus, the correct options from the ones provided are (a) Resamples must be drawn with replacement, and (c) Resamples must be the same size as the original sample size, ensuring that the probabilities are not affected by the size of the resample.