Large sample tests for simultaneous comparison to multiple controls in terms of binomial proportions

Julia N. Soulakova, Linlin Luo

Research output: Contribution to journalArticle

Abstract

A problem of illustrating simultaneous superiority of a certain treatment over three (or more) controls in terms of binomial proportions is considered. Applications of nine large sample intersection-union tests are discussed. The tests include the Min tests based on Wald, pooled, and Falk and Koch (1998) tests for the differences between two proportions, and their adjustments via Berger and Boos (1994) and Röhmel and Mansmann (1999) methods. Results of a large simulation study conducted to compare the proposed tests in terms of their Type I error rate and power and investigate proximity of the proposed approximate power and alternative approaches to estimate the minimum required sample size for balanced designs are discussed.

Original languageEnglish (US)
Pages (from-to)589-603
Number of pages15
JournalJournal of Biopharmaceutical Statistics
Volume23
Issue number3
DOIs
StatePublished - May 1 2013

Fingerprint

Sample Size
Proportion
Balanced Design
Type I Error Rate
Proximity
Adjustment
Union
Intersection
Simulation Study
Alternatives
Estimate

Keywords

  • Asymptotic test
  • Combination drug
  • Intersection-Union test
  • Min test

ASJC Scopus subject areas

  • Statistics and Probability
  • Pharmacology
  • Pharmacology (medical)

Cite this

Large sample tests for simultaneous comparison to multiple controls in terms of binomial proportions. / Soulakova, Julia N.; Luo, Linlin.

In: Journal of Biopharmaceutical Statistics, Vol. 23, No. 3, 01.05.2013, p. 589-603.

Research output: Contribution to journalArticle

@article{d6bef0f5b8034d13bd029af946e0f7bf,
title = "Large sample tests for simultaneous comparison to multiple controls in terms of binomial proportions",
abstract = "A problem of illustrating simultaneous superiority of a certain treatment over three (or more) controls in terms of binomial proportions is considered. Applications of nine large sample intersection-union tests are discussed. The tests include the Min tests based on Wald, pooled, and Falk and Koch (1998) tests for the differences between two proportions, and their adjustments via Berger and Boos (1994) and R{\"o}hmel and Mansmann (1999) methods. Results of a large simulation study conducted to compare the proposed tests in terms of their Type I error rate and power and investigate proximity of the proposed approximate power and alternative approaches to estimate the minimum required sample size for balanced designs are discussed.",
keywords = "Asymptotic test, Combination drug, Intersection-Union test, Min test",
author = "Soulakova, {Julia N.} and Linlin Luo",
year = "2013",
month = "5",
day = "1",
doi = "10.1080/10543406.2012.756498",
language = "English (US)",
volume = "23",
pages = "589--603",
journal = "Journal of Biopharmaceutical Statistics",
issn = "1054-3406",
publisher = "Taylor and Francis Ltd.",
number = "3",

}

TY - JOUR

T1 - Large sample tests for simultaneous comparison to multiple controls in terms of binomial proportions

AU - Soulakova, Julia N.

AU - Luo, Linlin

PY - 2013/5/1

Y1 - 2013/5/1

N2 - A problem of illustrating simultaneous superiority of a certain treatment over three (or more) controls in terms of binomial proportions is considered. Applications of nine large sample intersection-union tests are discussed. The tests include the Min tests based on Wald, pooled, and Falk and Koch (1998) tests for the differences between two proportions, and their adjustments via Berger and Boos (1994) and Röhmel and Mansmann (1999) methods. Results of a large simulation study conducted to compare the proposed tests in terms of their Type I error rate and power and investigate proximity of the proposed approximate power and alternative approaches to estimate the minimum required sample size for balanced designs are discussed.

AB - A problem of illustrating simultaneous superiority of a certain treatment over three (or more) controls in terms of binomial proportions is considered. Applications of nine large sample intersection-union tests are discussed. The tests include the Min tests based on Wald, pooled, and Falk and Koch (1998) tests for the differences between two proportions, and their adjustments via Berger and Boos (1994) and Röhmel and Mansmann (1999) methods. Results of a large simulation study conducted to compare the proposed tests in terms of their Type I error rate and power and investigate proximity of the proposed approximate power and alternative approaches to estimate the minimum required sample size for balanced designs are discussed.

KW - Asymptotic test

KW - Combination drug

KW - Intersection-Union test

KW - Min test

UR - http://www.scopus.com/inward/record.url?scp=84877106706&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84877106706&partnerID=8YFLogxK

U2 - 10.1080/10543406.2012.756498

DO - 10.1080/10543406.2012.756498

M3 - Article

C2 - 23611197

AN - SCOPUS:84877106706

VL - 23

SP - 589

EP - 603

JO - Journal of Biopharmaceutical Statistics

JF - Journal of Biopharmaceutical Statistics

SN - 1054-3406

IS - 3

ER -