title: [Estimation on gene-environment interaction in the partial case-control study].
abstract: OBJECTIVE
  To introduce the approaches for estimating gene-environment interaction based on partial case-control studies.
  
  
  METHODS
  The effects of logistic model and log-linear model for estimating the main effects and gene-environment interaction effect were estimated by means of maximum likelihood methods in traditional case-control studies, case-only studies and partial case-control studies, respectively. An example was also illustrated.
  
  
  RESULTS
  In traditional case-control study with complete data, the results of logistic model and log-linear model were equivalent. In case-only study without any information about controls, the logistic model can also efficiently estimate gene-environment interaction. In partial case-control study, environmental information was collected from all of the cases and controls, while genetic information was only collected from cases. For this case-control study with incomplete data, a suitable parameterized log-linear model could simultaneously and efficiently estimate the main effect of environment and gene-environment interaction, whereas the logistic model could not.
  
  
  CONCLUSIONS
  For a partial case-control study, log-linear model could estimate not only the main effect of environment but also gene-environment interaction. If genotype and exposure were independent, estimators from partial case-control were as precisely as those from complete-data case-control studies.
authors.affiliation: Department of Epidemiology and Biostatistics, School of Public Health, Nanjing Medical University, Nanjing 210029, China.
authors.forename: Jian-ling
authors.initials: JL
authors.lastname: Bai
authors.forename: Peng-cheng
authors.initials: PC
authors.lastname: Xun
authors.forename: Yang
authors.initials: Y
authors.lastname: Zhao
authors.forename: Hao
authors.initials: H
authors.lastname: Yu
authors.forename: Hong-bing
authors.initials: HB
authors.lastname: Shen
authors.forename: Qing-yi
authors.initials: QY
authors.lastname: Wei
authors.forename: Feng
authors.initials: F
authors.lastname: Chen
mesh_terms: D016022:Case-Control Studies; D004777:Environment; D005838:Genotype; D006801:Humans; D016014:Linear Models; D016015:Logistic Models; D015233:Models, Statistical; D015203:Reproducibility of Results