Bootstrap confidence intervals in a complex situation: A sequential paired clinical trial

Sally C. Morton

doi:10.1080/03610929008830196

Bootstrap confidence intervals in a complex situation: A sequential paired clinical trial

Sally C. Morton

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

This paper illustrates the use of several bootstrap confidence interval methods in a complex yet practical situation. The confidence interval for the difference between two treatments in a simplified sequential paired clinical trial, which is analogous to setting an interval for the drift of a random walk subject to a parabolic stopping boundary, is considered. Three bootstrap methods of construction are applied: the accelerated bias-corrected, the automatic percentile, and the bootstrap-t. The results are compared with a theoretical approximate interval. Difficulties inherent in the use of these bootstrap methods are discussed. The automatic percentile method is shown to be the easiest to apply and to work well.

Original language	English (US)
Pages (from-to)	181-195
Number of pages	15
Journal	Communications in Statistics - Theory and Methods
Volume	19
Issue number	1
DOIs	https://doi.org/10.1080/03610929008830196
State	Published - 1990
Externally published	Yes

Keywords

accelerated bias-corrected method
automatic percentile method
bootstrap
random walk
sequential test

ASJC Scopus subject areas

Statistics and Probability

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10.1080/03610929008830196

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title = "Bootstrap confidence intervals in a complex situation: A sequential paired clinical trial",

abstract = "This paper illustrates the use of several bootstrap confidence interval methods in a complex yet practical situation. The confidence interval for the difference between two treatments in a simplified sequential paired clinical trial, which is analogous to setting an interval for the drift of a random walk subject to a parabolic stopping boundary, is considered. Three bootstrap methods of construction are applied: the accelerated bias-corrected, the automatic percentile, and the bootstrap-t. The results are compared with a theoretical approximate interval. Difficulties inherent in the use of these bootstrap methods are discussed. The automatic percentile method is shown to be the easiest to apply and to work well.",

keywords = "accelerated bias-corrected method, automatic percentile method, bootstrap, random walk, sequential test",

author = "Morton, {Sally C.}",

note = "Funding Information: The author gratefully acknowledges the help of Professors Thomas DiCi-ccio, Bradley Efron, Jerome Friedman, Joseph Romano and David Siegmund. This work was supported in part by grants from the National Science Foundation and the Department of Energy.",

year = "1990",

doi = "10.1080/03610929008830196",

language = "English (US)",

volume = "19",

pages = "181--195",

journal = "Communications in Statistics - Theory and Methods",

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TY - JOUR

T1 - Bootstrap confidence intervals in a complex situation

T2 - A sequential paired clinical trial

AU - Morton, Sally C.

N1 - Funding Information: The author gratefully acknowledges the help of Professors Thomas DiCi-ccio, Bradley Efron, Jerome Friedman, Joseph Romano and David Siegmund. This work was supported in part by grants from the National Science Foundation and the Department of Energy.

PY - 1990

Y1 - 1990

N2 - This paper illustrates the use of several bootstrap confidence interval methods in a complex yet practical situation. The confidence interval for the difference between two treatments in a simplified sequential paired clinical trial, which is analogous to setting an interval for the drift of a random walk subject to a parabolic stopping boundary, is considered. Three bootstrap methods of construction are applied: the accelerated bias-corrected, the automatic percentile, and the bootstrap-t. The results are compared with a theoretical approximate interval. Difficulties inherent in the use of these bootstrap methods are discussed. The automatic percentile method is shown to be the easiest to apply and to work well.

AB - This paper illustrates the use of several bootstrap confidence interval methods in a complex yet practical situation. The confidence interval for the difference between two treatments in a simplified sequential paired clinical trial, which is analogous to setting an interval for the drift of a random walk subject to a parabolic stopping boundary, is considered. Three bootstrap methods of construction are applied: the accelerated bias-corrected, the automatic percentile, and the bootstrap-t. The results are compared with a theoretical approximate interval. Difficulties inherent in the use of these bootstrap methods are discussed. The automatic percentile method is shown to be the easiest to apply and to work well.

KW - accelerated bias-corrected method

KW - automatic percentile method

KW - bootstrap

KW - random walk

KW - sequential test

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DO - 10.1080/03610929008830196

M3 - Article

AN - SCOPUS:84866267119

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SP - 181

EP - 195

JO - Communications in Statistics - Theory and Methods

JF - Communications in Statistics - Theory and Methods

SN - 0361-0926

IS - 1

ER -

Bootstrap confidence intervals in a complex situation: A sequential paired clinical trial

Abstract

Keywords

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