Marginal Methods for Incomplete Longitudinal Data Arising in Clusters

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Weighted Generalized Estimating Functions for Longitudinal Response and Covariate Data That Are Missing at Random (2010, methodology): “These equations would need to be weighted to protect against the effects of the MAR mechanism, which could be done in a similar spirit to the approach of Yi and Cook (2002).”
A corrected likelihood method for the proportional hazards model with covariates subject to measurement error (2007, unknown): “Uij = (nij − 1)2 j − nij � =1(Wij � − Wij ) 2 , j = 1 ,...,p . Adapting the argument in Yi and Cook (2002) , we conclude that √ n(ˆ − ) has an asymptotic multivariate normal distribution with mean 0 and variance matrix ˜ =[ I ∗]−1 ˜”
A robust pairwise likelihood method for incomplete longitudinal binary data arising in clusters (2011, methodology): “…odds ratio, given by μi;jk;j′k′ = ⎧⎪⎨ ⎪⎩ ai;jk;j′k′− [ a2 i;jk;j′k′−4ψi;jk;j′k′ (ψi;jk;j′k′−1)μijkμij′k′ ]1/2 2(ψi;jk;j′k′−1) , if ψi;jk;j′k′ = 1, μijkμij′k′ , if ψi;jk;j′k′ = 1, (4) where ai;jk;j′k′ = 1 − (1 − ψi;jk;j′k′ )(μijk + μij′k′ ) (e.g., Lipsitz, Laird & Harrington, 1991; Yi & Cook, 2002).”