Threshold Models with Correlated Random Components. Southampton, UK, Southampton Statistical Sciences Research Institute, 17pp.
(S3RI Methodology Working Papers, M04/07).
Threshold models for ordinal longitudinal/repeated measurements data need to account for the correlation between observations within each subject. Two variance-covariance structures are introduced for two types of threshold models. Estimation of the parameters in the linear predictor and components of variance are derived in the general form. A small simulation study is carried out to support the estimation and inference methods. These methods are then applied to two practical examples.
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