Exact Bounded Risk Estimation When the Terminal Sample Size and Estimator Are Dependent: The Exponential Case

2006 ◽  
Vol 25 (1) ◽  
pp. 85-101 ◽  
Author(s):  
Nitis Mukhopadhyay ◽  
William Pepe
1988 ◽  
Vol 7 (2) ◽  
pp. 91-109 ◽  
Author(s):  
Nitis Mukhopadhyay ◽  
Pranab Kumar Sen ◽  
Bikas Kumar Sinha

2017 ◽  
Author(s):  
Félix Balazard ◽  
Sophie Le Fur ◽  
Pierre Bougnères ◽  
Alain-Jacques Valleron ◽  

Background: Case-only design for gene-environment interaction (CODGEI) relies on the rare disease assumption. A negative association due to collider bias appears between gene and environment when this assumption is not respected. Genetic risk estimation can quantify part of the predisposition of an individual to a disease. Methods: We introduce Disease As Collider (DAC), a new case-only methodology to discover environmental factors using genetic risk estimation: a negative correlation between genetic risk and environment in cases provides a signature of a genuine environmental risk marker. Simulation of disease occurrence in a source population allows to estimate the statistical power of DAC and the influence of collider bias in CODGEI. We illustrate DAC in 831 type 1 diabetes (T1D) patients. Results: The power of DAC increases with sample size, prevalence and accuracy of genetic risk estimation. For a prevalence of 1% and a realistic genetic risk estimation, power of 80% is reached for a sample size under 3000. Collider bias offers an alternative interpretation to the results of CODGEI in a published study on breast cancer. Conclusion: DAC could provide a new line of evidence for discovering which environmental factors play a role in complex diseases or confirming results obtained in case-control studies. We discuss the circumstances needed for DAC to participate in the dissection of environmental determinants of disease. We provide guidance on the use of CODGEI regarding the rare disease assumption.


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