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Stratified Case-Cohort Analysis of General Cohort Sampling Designs
Authors:SVEN OVE SAMUELSEN  HALLVARD ÅNESTAD  ANDERS SKRONDAL
Institution:Department of Mathematics, University of Oslo; Ullevål University Hospital; Methodology Institute, Department of Statistics, London School of Economics
Abstract:Abstract.  It is shown that variance estimates for regression coefficients in exposure-stratified case-cohort studies (Borgan et al ., Lifetime Data Anal., 6, 2000, 39–58) can easily be obtained from influence terms routinely calculated in the standard software for Cox regression. By allowing for post-stratification on outcome we also place the estimators proposed by Chen ( J. R. Statist. Soc. Ser. B , 63, 2001, 791–809) for a general class of cohort sampling designs within the Borgan et al. 's framework, facilitating simple variance estimation for these designs. Finally, the Chen approach is extended to accommodate stratified designs with surrogate variables available for all cohort members, such as stratified case-cohort and counter-matching designs.
Keywords:Bernoulli sampling  case-cohort studies  counter-matched studies  DFBETAS  generalized case-cohort studies  inverse probability weighting  nested case-control studies  post-stratification  stratified case-cohort studies  variance estimation
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