### Abstract

Time-to-event endpoints are often used in clinical and epidemiological studies to evaluate disease association with hazardous exposures. In the statistical literature of time-to-event analysis, such association is usually measured by the hazard ratio in the proportional hazards model. In public health, it is also of important interest to assess the excess risk attributable to an exposure in a given population. In this article, we extend the notion of 'population attributable fraction' for the binary outcomes to the attributable risk function for the event times in prospective studies. A simple estimator of the time-varying attributable risk function is proposed under the proportional hazards model. Its inference procedures are established. Monte-Carlo simulation studies are conducted to evaluate its validity and performance. The proposed methodology is motivated and demonstrated by the data collected in a multicenter acquired immunodeficiency syndrome (AIDS) cohort study to estimate the attributable risk of human immunodeficiency virus type 1 (HIV-1) infections due to several potential risk factors.

Original language | English (US) |
---|---|

Pages (from-to) | 515-529 |

Number of pages | 15 |

Journal | Biostatistics |

Volume | 7 |

Issue number | 4 |

DOIs | |

State | Published - Oct 2006 |

Externally published | Yes |

### Fingerprint

### Keywords

- Attributable fraction
- Epidemiologic methods
- HIV/AIDS prevention
- Population etiologic fraction
- Risk assessment

### ASJC Scopus subject areas

- Medicine(all)
- Statistics and Probability
- Statistics, Probability and Uncertainty

### Cite this

*Biostatistics*,

*7*(4), 515-529. https://doi.org/10.1093/biostatistics/kxj023

**Attributable risk function in the proportional hazards model for censored time-to-event.** / Chen, Ying Qing; Hu, Chengcheng; Wang, Yan.

Research output: Contribution to journal › Article

*Biostatistics*, vol. 7, no. 4, pp. 515-529. https://doi.org/10.1093/biostatistics/kxj023

}

TY - JOUR

T1 - Attributable risk function in the proportional hazards model for censored time-to-event

AU - Chen, Ying Qing

AU - Hu, Chengcheng

AU - Wang, Yan

PY - 2006/10

Y1 - 2006/10

N2 - Time-to-event endpoints are often used in clinical and epidemiological studies to evaluate disease association with hazardous exposures. In the statistical literature of time-to-event analysis, such association is usually measured by the hazard ratio in the proportional hazards model. In public health, it is also of important interest to assess the excess risk attributable to an exposure in a given population. In this article, we extend the notion of 'population attributable fraction' for the binary outcomes to the attributable risk function for the event times in prospective studies. A simple estimator of the time-varying attributable risk function is proposed under the proportional hazards model. Its inference procedures are established. Monte-Carlo simulation studies are conducted to evaluate its validity and performance. The proposed methodology is motivated and demonstrated by the data collected in a multicenter acquired immunodeficiency syndrome (AIDS) cohort study to estimate the attributable risk of human immunodeficiency virus type 1 (HIV-1) infections due to several potential risk factors.

AB - Time-to-event endpoints are often used in clinical and epidemiological studies to evaluate disease association with hazardous exposures. In the statistical literature of time-to-event analysis, such association is usually measured by the hazard ratio in the proportional hazards model. In public health, it is also of important interest to assess the excess risk attributable to an exposure in a given population. In this article, we extend the notion of 'population attributable fraction' for the binary outcomes to the attributable risk function for the event times in prospective studies. A simple estimator of the time-varying attributable risk function is proposed under the proportional hazards model. Its inference procedures are established. Monte-Carlo simulation studies are conducted to evaluate its validity and performance. The proposed methodology is motivated and demonstrated by the data collected in a multicenter acquired immunodeficiency syndrome (AIDS) cohort study to estimate the attributable risk of human immunodeficiency virus type 1 (HIV-1) infections due to several potential risk factors.

KW - Attributable fraction

KW - Epidemiologic methods

KW - HIV/AIDS prevention

KW - Population etiologic fraction

KW - Risk assessment

UR - http://www.scopus.com/inward/record.url?scp=33749605990&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=33749605990&partnerID=8YFLogxK

U2 - 10.1093/biostatistics/kxj023

DO - 10.1093/biostatistics/kxj023

M3 - Article

C2 - 16478758

AN - SCOPUS:33749605990

VL - 7

SP - 515

EP - 529

JO - Biostatistics

JF - Biostatistics

SN - 1465-4644

IS - 4

ER -