Approximately unbiased tests of regions using multistep-multiscale bootstrap resampling

Approximately unbiased tests of regions using multistep-multiscale bootstrap resampling

1 Summary Approximately unbiased tests based on the bootstrap probabilities are considered for the exponential family of distributions with unknown expectation parameter vector, where the null hypothesis is represented as an arbitrary-shaped region with smooth boundaries. This problem is discussed previously in Efron and Tibshirani (1998), and a corrected p-value with second-order asymptotic ac...

Approximately Unbiased Tests for Singular Surfaces via Multiscale Bootstrap Resampling

A class of approximately unbiased tests based on bootstrap probabilities is considered for the normal model with unknown expectation parameter vector, where the null hypothesis is represented as an arbitrary-shaped region with possibly singular boundary surfaces. We alter the sample size n of replicated datasets from the sample size n of the observed dataset, and calculate bootstrap probabiliti...

Approximately Unbiased Tests of Regions Using Multistep-multiscale Bootstrap Resampling1 by Hidetoshi Shimodaira

Approximately unbiased tests based on bootstrap probabilities are considered for the exponential family of distributions with unknown expectation parameter vector, where the null hypothesis is represented as an arbitraryshaped region with smooth boundaries. This problem has been discussed previously in Efron and Tibshirani [Ann. Statist. 26 (1998) 1687–1718], and a corrected p-value with second...

Technical details of the multistep-multiscale bootstrap resampling

Supplement Material to " Approximately unbiased tests of regions using multistep-multiscale bootstrap resampling. " 1

- multiscale bootstrap resampling