Power Estimation for Two-Sample Tests Using Importance and Antithetic Resampling

Hani M. Samawi; George G. Woodworth; Jon H. Lemke; Hani Samawi

doi:10.1002/(SICI)1521-4036(199807)40:3<341::AID-BIMJ341>3.0.CO;2-Z

Power Estimation for Two-Sample Tests Using Importance and Antithetic Resampling

Hani M. Samawi, George G. Woodworth, Jon H. Lemke, Hani Samawi

Biostatistics, Epidemiology, & Environmental Health Sciences

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

11 Scopus citations

Abstract

<div class="line" id="line-22"> Collings and Hamilton (1988), described a uniform bootstrap method that is applied on observed or pilot data in order to approximate the power of the two&hyphen;sample Wilcoxon test for location shift alternatives. In this paper we demonstrate how importance and antithetic resampling can be used to substantially reduce the amount of computation needed to approximate the power of the two&hyphen;sample tests for location shift and scale alternatives. Importance and antithetic bootstrap resampling methods are applied to simulated data of different sample sizes from a variety of distributions as well as to data from the Iowa 65+ Rural Health Study. Also, a suggestion is given for using a combination of importance and antithetic resampling for approximating the power of two&hyphen;sample tests.</div>

Original language	American English
Journal	Biometrical Journal
Volume	40
DOIs	https://doi.org/10.1002/(SICI)1521-4036(199807)40:3<341::AID-BIMJ341>3.0.CO;2-Z
State	Published - Jul 1998

Keywords

Antithetic resampling
Bootstrap
Importance resampling
Logrank test
Nonparametric
Power curves
Relative efficiency
Two sample tests
Van der Waerden test

DC Disciplines

Biostatistics

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@article{84dd83044c6146d488d7080fadb87834,

title = "Power Estimation for Two-Sample Tests Using Importance and Antithetic Resampling",

abstract = " Collings and Hamilton (1988), described a uniform bootstrap method that is applied on observed or pilot data in order to approximate the power of the two&hyphen;sample Wilcoxon test for location shift alternatives. In this paper we demonstrate how importance and antithetic resampling can be used to substantially reduce the amount of computation needed to approximate the power of the two&hyphen;sample tests for location shift and scale alternatives. Importance and antithetic bootstrap resampling methods are applied to simulated data of different sample sizes from a variety of distributions as well as to data from the Iowa 65+ Rural Health Study. Also, a suggestion is given for using a combination of importance and antithetic resampling for approximating the power of two&hyphen;sample tests.",

keywords = "Antithetic resampling, Bootstrap, Importance resampling, Logrank test, Nonparametric, Power curves, Relative efficiency, Two sample tests, Van der Waerden test",

author = "Samawi, {Hani M.} and Woodworth, {George G.} and Lemke, {Jon H.} and Hani Samawi",

note = "Original Paper Department of Statistics, Yarmouk University, Irbid, Jordan Search for more papers by this author Department of Statistics and Actuarial Science, University of Iowa, Iowa City, USA Search for more papers by this author Department of Preventive Medicine and Environmental Health, Biostatistics Division, University of Iowa, Iowa City, USA Search for more papers by this author Collings and Hamilton (1988), described a uniform bootstrap method that is applied on observed or pilot data in order to approximate the power of the two-sample Wilcoxon test for location shift alternatives.",

year = "1998",

month = jul,

doi = "10.1002/(SICI)1521-4036(199807)40:3<341::AID-BIMJ341>3.0.CO;2-Z",

language = "American English",

volume = "40",

journal = "Biometrical Journal",

issn = "0323-3847",

publisher = "Wiley-VCH Verlag",

}

TY - JOUR

T1 - Power Estimation for Two-Sample Tests Using Importance and Antithetic Resampling

AU - Samawi, Hani M.

AU - Woodworth, George G.

AU - Lemke, Jon H.

AU - Samawi, Hani

N1 - Original Paper Department of Statistics, Yarmouk University, Irbid, Jordan Search for more papers by this author Department of Statistics and Actuarial Science, University of Iowa, Iowa City, USA Search for more papers by this author Department of Preventive Medicine and Environmental Health, Biostatistics Division, University of Iowa, Iowa City, USA Search for more papers by this author Collings and Hamilton (1988), described a uniform bootstrap method that is applied on observed or pilot data in order to approximate the power of the two-sample Wilcoxon test for location shift alternatives.

PY - 1998/7

Y1 - 1998/7

N2 - Collings and Hamilton (1988), described a uniform bootstrap method that is applied on observed or pilot data in order to approximate the power of the two&hyphen;sample Wilcoxon test for location shift alternatives. In this paper we demonstrate how importance and antithetic resampling can be used to substantially reduce the amount of computation needed to approximate the power of the two&hyphen;sample tests for location shift and scale alternatives. Importance and antithetic bootstrap resampling methods are applied to simulated data of different sample sizes from a variety of distributions as well as to data from the Iowa 65+ Rural Health Study. Also, a suggestion is given for using a combination of importance and antithetic resampling for approximating the power of two&hyphen;sample tests.

AB - Collings and Hamilton (1988), described a uniform bootstrap method that is applied on observed or pilot data in order to approximate the power of the two&hyphen;sample Wilcoxon test for location shift alternatives. In this paper we demonstrate how importance and antithetic resampling can be used to substantially reduce the amount of computation needed to approximate the power of the two&hyphen;sample tests for location shift and scale alternatives. Importance and antithetic bootstrap resampling methods are applied to simulated data of different sample sizes from a variety of distributions as well as to data from the Iowa 65+ Rural Health Study. Also, a suggestion is given for using a combination of importance and antithetic resampling for approximating the power of two&hyphen;sample tests.

KW - Antithetic resampling

KW - Bootstrap

KW - Importance resampling

KW - Logrank test

KW - Nonparametric

KW - Power curves

KW - Relative efficiency

KW - Two sample tests

KW - Van der Waerden test

UR - https://doi.org/10.1002/(SICI)1521-4036(199807)40:3<341::AID-BIMJ341>3.0.CO;2-Z

U2 - 10.1002/(SICI)1521-4036(199807)40:3<341::AID-BIMJ341>3.0.CO;2-Z

DO - 10.1002/(SICI)1521-4036(199807)40:3<341::AID-BIMJ341>3.0.CO;2-Z

M3 - Article

SN - 0323-3847

VL - 40

JO - Biometrical Journal

JF - Biometrical Journal

ER -

Power Estimation for Two-Sample Tests Using Importance and Antithetic Resampling

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