Statistical evaluation of mortality in long-term carcinogenicity bioassays using a Williams-type procedure

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Esther Herberich
  • Ludwig A. Hothorn

Research Organisations

External Research Organisations

  • Ludwig-Maximilians-Universität München (LMU)
View graph of relations

Details

Original languageEnglish
Pages (from-to)26-34
Number of pages9
JournalRegulatory Toxicology and Pharmacology
Volume64
Issue number1
Early online date27 Jun 2012
Publication statusE-pub ahead of print - 27 Jun 2012

Abstract

Several doses and a control group can be compared under order restriction using the Williams procedure for normally distributed endpoints assuming variance homogeneity. Comparison of the survival functions represents a secondary endpoint in long-term in vivo bioassays of carcinogenicity. Therefore, a Williams-type procedure for the comparison of survival functions is proposed for the assumption of the Cox proportional hazards model or the general frailty Cox model to allow a joint analysis over sex and strains. Interpretation according to both statistical significance and biological relevance is possible with simultaneous confidence intervals for hazard ratios. Related survival data can be analyzed using the R packages survival, coxme, and multcomp. Together with the R packages MCPAN and nparcomp, Dunnett- or Williams-type procedures are now available for the statistical analysis of the following endpoint types in toxicology: (i) normally distributed, (ii) non-normally distributed, (iii) score (ordered categorical) data, (iv) crude proportions, (v) survival functions, and (vi) time-to-tumor data with and without cause-of-death information.

Keywords

    Mortality, Proof of hazard, Proof of safety, Statistical evaluation, Survival

ASJC Scopus subject areas

  • Pharmacology, Toxicology and Pharmaceutics(all)
  • Toxicology

Cite this

Statistical evaluation of mortality in long-term carcinogenicity bioassays using a Williams-type procedure. / Herberich, Esther; Hothorn, Ludwig A.
In: Regulatory Toxicology and Pharmacology, Vol. 64, No. 1, 27.06.2012, p. 26-34.

Research output: Contribution to journalArticleResearchpeer review

Herberich E, Hothorn LA. Statistical evaluation of mortality in long-term carcinogenicity bioassays using a Williams-type procedure. Regulatory Toxicology and Pharmacology. 2012 Jun 27;64(1):26-34. Epub 2012 Jun 27. doi: 10.1016/j.yrtph.2012.06.014
Download
@article{876bf211e2f743c4a7eb59505b60dfc4,
title = "Statistical evaluation of mortality in long-term carcinogenicity bioassays using a Williams-type procedure",
abstract = "Several doses and a control group can be compared under order restriction using the Williams procedure for normally distributed endpoints assuming variance homogeneity. Comparison of the survival functions represents a secondary endpoint in long-term in vivo bioassays of carcinogenicity. Therefore, a Williams-type procedure for the comparison of survival functions is proposed for the assumption of the Cox proportional hazards model or the general frailty Cox model to allow a joint analysis over sex and strains. Interpretation according to both statistical significance and biological relevance is possible with simultaneous confidence intervals for hazard ratios. Related survival data can be analyzed using the R packages survival, coxme, and multcomp. Together with the R packages MCPAN and nparcomp, Dunnett- or Williams-type procedures are now available for the statistical analysis of the following endpoint types in toxicology: (i) normally distributed, (ii) non-normally distributed, (iii) score (ordered categorical) data, (iv) crude proportions, (v) survival functions, and (vi) time-to-tumor data with and without cause-of-death information.",
keywords = "Mortality, Proof of hazard, Proof of safety, Statistical evaluation, Survival",
author = "Esther Herberich and Hothorn, {Ludwig A.}",
year = "2012",
month = jun,
day = "27",
doi = "10.1016/j.yrtph.2012.06.014",
language = "English",
volume = "64",
pages = "26--34",
journal = "Regulatory Toxicology and Pharmacology",
issn = "0273-2300",
publisher = "Academic Press Inc.",
number = "1",

}

Download

TY - JOUR

T1 - Statistical evaluation of mortality in long-term carcinogenicity bioassays using a Williams-type procedure

AU - Herberich, Esther

AU - Hothorn, Ludwig A.

PY - 2012/6/27

Y1 - 2012/6/27

N2 - Several doses and a control group can be compared under order restriction using the Williams procedure for normally distributed endpoints assuming variance homogeneity. Comparison of the survival functions represents a secondary endpoint in long-term in vivo bioassays of carcinogenicity. Therefore, a Williams-type procedure for the comparison of survival functions is proposed for the assumption of the Cox proportional hazards model or the general frailty Cox model to allow a joint analysis over sex and strains. Interpretation according to both statistical significance and biological relevance is possible with simultaneous confidence intervals for hazard ratios. Related survival data can be analyzed using the R packages survival, coxme, and multcomp. Together with the R packages MCPAN and nparcomp, Dunnett- or Williams-type procedures are now available for the statistical analysis of the following endpoint types in toxicology: (i) normally distributed, (ii) non-normally distributed, (iii) score (ordered categorical) data, (iv) crude proportions, (v) survival functions, and (vi) time-to-tumor data with and without cause-of-death information.

AB - Several doses and a control group can be compared under order restriction using the Williams procedure for normally distributed endpoints assuming variance homogeneity. Comparison of the survival functions represents a secondary endpoint in long-term in vivo bioassays of carcinogenicity. Therefore, a Williams-type procedure for the comparison of survival functions is proposed for the assumption of the Cox proportional hazards model or the general frailty Cox model to allow a joint analysis over sex and strains. Interpretation according to both statistical significance and biological relevance is possible with simultaneous confidence intervals for hazard ratios. Related survival data can be analyzed using the R packages survival, coxme, and multcomp. Together with the R packages MCPAN and nparcomp, Dunnett- or Williams-type procedures are now available for the statistical analysis of the following endpoint types in toxicology: (i) normally distributed, (ii) non-normally distributed, (iii) score (ordered categorical) data, (iv) crude proportions, (v) survival functions, and (vi) time-to-tumor data with and without cause-of-death information.

KW - Mortality

KW - Proof of hazard

KW - Proof of safety

KW - Statistical evaluation

KW - Survival

UR - http://www.scopus.com/inward/record.url?scp=84863853895&partnerID=8YFLogxK

U2 - 10.1016/j.yrtph.2012.06.014

DO - 10.1016/j.yrtph.2012.06.014

M3 - Article

C2 - 22749913

AN - SCOPUS:84863853895

VL - 64

SP - 26

EP - 34

JO - Regulatory Toxicology and Pharmacology

JF - Regulatory Toxicology and Pharmacology

SN - 0273-2300

IS - 1

ER -