Finding the maximum safe dose level for heteroscedastic data

Ajit C. Tamhane; Brent R. Logan

doi:10.1081/BIP-200035413

Finding the maximum safe dose level for heteroscedastic data

Ajit C. Tamhane^*, Brent R. Logan

^*Corresponding author for this work

Industrial Engineering and Management Sciences

Research output: Contribution to journal › Review article › peer-review

16 Scopus citations

Abstract

In this article we extend to the heteroscedastic setting the multiple stepwise test procedures proposed in Tamhane et al. [Tamhane. A. C., Dunnett, C. W., Green, J. W., Wetherington, J. F. (2001). Multiple test procedures for identifying a safe dose. J. Am. Statist. Assoc. 96:835-843] for finding the maximum safe dose. Toxicological data are often heteroscedastic; therefore, the extensions given herein should be highly useful in practice. Simulations are performed to study the Type I familywise error rate and power properties of the procedures. A real data example is given to illustrate the procedures.

Original language	English (US)
Pages (from-to)	843-856
Number of pages	14
Journal	Journal of Biopharmaceutical Statistics
Volume	14
Issue number	4
DOIs	https://doi.org/10.1081/BIP-200035413
State	Published - 2004

Keywords

Dose-response
Multiple comparisons
Toxicology
Unequal variances

ASJC Scopus subject areas

Statistics and Probability
Pharmacology
Pharmacology (medical)

Access to Document

10.1081/BIP-200035413

Cite this

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title = "Finding the maximum safe dose level for heteroscedastic data",

abstract = "In this article we extend to the heteroscedastic setting the multiple stepwise test procedures proposed in Tamhane et al. [Tamhane. A. C., Dunnett, C. W., Green, J. W., Wetherington, J. F. (2001). Multiple test procedures for identifying a safe dose. J. Am. Statist. Assoc. 96:835-843] for finding the maximum safe dose. Toxicological data are often heteroscedastic; therefore, the extensions given herein should be highly useful in practice. Simulations are performed to study the Type I familywise error rate and power properties of the procedures. A real data example is given to illustrate the procedures.",

keywords = "Dose-response, Multiple comparisons, Toxicology, Unequal variances",

author = "Tamhane, {Ajit C.} and Logan, {Brent R.}",

note = "Funding Information: This research was partially supported by an educational grant from DuPont. We thank Dr. John Green of DuPont Safety, Health and Environmental Excellence Center, Haskell Laboratory for Toxicology and Industrial Medicine for providing the data for the problem and helpful discussions. We also thank two referees for useful suggestions.",

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AU - Logan, Brent R.

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PY - 2004

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N2 - In this article we extend to the heteroscedastic setting the multiple stepwise test procedures proposed in Tamhane et al. [Tamhane. A. C., Dunnett, C. W., Green, J. W., Wetherington, J. F. (2001). Multiple test procedures for identifying a safe dose. J. Am. Statist. Assoc. 96:835-843] for finding the maximum safe dose. Toxicological data are often heteroscedastic; therefore, the extensions given herein should be highly useful in practice. Simulations are performed to study the Type I familywise error rate and power properties of the procedures. A real data example is given to illustrate the procedures.

AB - In this article we extend to the heteroscedastic setting the multiple stepwise test procedures proposed in Tamhane et al. [Tamhane. A. C., Dunnett, C. W., Green, J. W., Wetherington, J. F. (2001). Multiple test procedures for identifying a safe dose. J. Am. Statist. Assoc. 96:835-843] for finding the maximum safe dose. Toxicological data are often heteroscedastic; therefore, the extensions given herein should be highly useful in practice. Simulations are performed to study the Type I familywise error rate and power properties of the procedures. A real data example is given to illustrate the procedures.

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KW - Multiple comparisons

KW - Toxicology

KW - Unequal variances

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Finding the maximum safe dose level for heteroscedastic data

Abstract

Keywords

ASJC Scopus subject areas

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