Question 1

Which of the following statements about bootstrap estimates is/are TRUE?

Accepted Answer

A) The bootstrap is able to estimate the sampling distribution,bias,and standard error of a wide variety of statistics. 
B) A small bootstrap estimate of bias suggests that the sampling distribution of the statistic is centered at the population parameter. 
C) The bootstrap estimate of bias is determined from the mean of the bootstrap distribution and the value of the statistic in the original sample. 
D) If the bootstrap distribution of a statistic is approximately Normal and the bias is small,a bootstrap confidence interval for the population parameter can be constructed of the form statistic ± t*SEboot. 
E) All of the above are true. 
A) The bootstrap is able to estimate the sampling distribution,bias,and standard error of a wide variety of statistics. 
B) A small bootstrap estimate of bias suggests that the sampling distribution of the statistic is centered at the population parameter. 
C) The bootstrap estimate of bias is determined from the mean of the bootstrap distribution and the value of the statistic in the original sample. 
D) If the bootstrap distribution of a statistic is approximately Normal and the bias is small,a bootstrap confidence interval for the population parameter can be constructed of the form statistic ± t*SEboot. 
E) All of the above are true.

Question 2

Under what condition is a permutation test for comparing two populations valid?

Accepted Answer

A) The populations have the same mean under the null hypothesis. 
B) The populations are identical under the null hypothesis. 
C) The two populations have the same standard deviation under both the null and alternative hypotheses. 
D) Under all circumstances-the permutation test does not require any particular assumptions and hence is very powerful. 
A) The populations have the same mean under the null hypothesis. 
B) The populations are identical under the null hypothesis. 
C) The two populations have the same standard deviation under both the null and alternative hypotheses. 
D) Under all circumstances-the permutation test does not require any particular assumptions and hence is very powerful.

Which of the following statements about bootstrap estimates is/are TRUE?

Under what condition is a permutation test for comparing two populations valid?

Looking at Datadistributions

Looking at Datarelationships

Producing Data

Probability: the Study of Randomness

Sampling Distributions

Introduction to Inference

Inference for Means

Inference for Proportions

Inference for Categorical Data

Inference for Regression

Multiple Regression

One-Way Analysis of Variance

Two-Way Analysis of Variance

Logistic Regression

Nonparametric Tests

Statistics for Quality: Control and Capability

Filters

Exam 16: Bootstrap Methods and Permutation Tests

Which of the following statements about bootstrap estimates is/are TRUE?

Under what condition is a permutation test for comparing two populations valid?

Looking at Datadistributions

Looking at Datarelationships

Producing Data

Probability: the Study of Randomness

Sampling Distributions

Introduction to Inference

Inference for Means

Inference for Proportions

Inference for Categorical Data

Inference for Regression

Multiple Regression

One-Way Analysis of Variance

Two-Way Analysis of Variance

Logistic Regression

Nonparametric Tests

Statistics for Quality: Control and Capability

Filters