## Details

Originalsprache | Englisch |
---|---|

Seiten (von - bis) | 1131-1147 |

Seitenumfang | 17 |

Fachzeitschrift | Statistics in medicine |

Jahrgang | 25 |

Ausgabenummer | 7 |

Publikationsstatus | Veröffentlicht - 11 Okt. 2006 |

## Abstract

In this paper, we address the problem of calculating power and sample sizes associated with simultaneous tests for non-inferiority. We consider the case of comparing several experimental treatments with an active control. The approach is based on the ratio view, where the common non-inferiority margin is chosen to be some percentage of the mean of the control treatment. Two power definitions in multiple hypothesis testing, namely, complete power and minimal power, are used in the computations. The sample sizes associated with the ratio-based inference are also compared with that of a comparable inference based on the difference of means for various scenarios. It is found that the sample size required for ratio-based inferences is smaller than that of difference-based inferences when the relative non-inferiority margin is less than one and when large response values indicate better treatment effects. The results are illustrated with examples.

## ASJC Scopus Sachgebiete

- Medizin (insg.)
**Epidemiologie**- Mathematik (insg.)
**Statistik und Wahrscheinlichkeit**

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**Power and sample size computations in simultaneous tests for non-inferiority based on relative margins.**/ Dilba, Gemechis; Bretz, Frank; Hothorn, Ludwig A. et al.

in: Statistics in medicine, Jahrgang 25, Nr. 7, 11.10.2006, S. 1131-1147.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

*Statistics in medicine*, Jg. 25, Nr. 7, S. 1131-1147. https://doi.org/10.1002/sim.2359

*Statistics in medicine*,

*25*(7), 1131-1147. https://doi.org/10.1002/sim.2359

}

TY - JOUR

T1 - Power and sample size computations in simultaneous tests for non-inferiority based on relative margins

AU - Dilba, Gemechis

AU - Bretz, Frank

AU - Hothorn, Ludwig A.

AU - Guiard, Volker

PY - 2006/10/11

Y1 - 2006/10/11

N2 - In this paper, we address the problem of calculating power and sample sizes associated with simultaneous tests for non-inferiority. We consider the case of comparing several experimental treatments with an active control. The approach is based on the ratio view, where the common non-inferiority margin is chosen to be some percentage of the mean of the control treatment. Two power definitions in multiple hypothesis testing, namely, complete power and minimal power, are used in the computations. The sample sizes associated with the ratio-based inference are also compared with that of a comparable inference based on the difference of means for various scenarios. It is found that the sample size required for ratio-based inferences is smaller than that of difference-based inferences when the relative non-inferiority margin is less than one and when large response values indicate better treatment effects. The results are illustrated with examples.

AB - In this paper, we address the problem of calculating power and sample sizes associated with simultaneous tests for non-inferiority. We consider the case of comparing several experimental treatments with an active control. The approach is based on the ratio view, where the common non-inferiority margin is chosen to be some percentage of the mean of the control treatment. Two power definitions in multiple hypothesis testing, namely, complete power and minimal power, are used in the computations. The sample sizes associated with the ratio-based inference are also compared with that of a comparable inference based on the difference of means for various scenarios. It is found that the sample size required for ratio-based inferences is smaller than that of difference-based inferences when the relative non-inferiority margin is less than one and when large response values indicate better treatment effects. The results are illustrated with examples.

KW - Least favourable configuration

KW - Multiple comparison

KW - Non-central t

KW - Non-inferiority

KW - Ratio-to-control

UR - http://www.scopus.com/inward/record.url?scp=33645465471&partnerID=8YFLogxK

U2 - 10.1002/sim.2359

DO - 10.1002/sim.2359

M3 - Article

C2 - 16217842

AN - SCOPUS:33645465471

VL - 25

SP - 1131

EP - 1147

JO - Statistics in medicine

JF - Statistics in medicine

SN - 0277-6715

IS - 7

ER -