The joint models for non linear longitudinal and time to event data using penalized splines

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Nội dung chi tiết: The joint models for non linear longitudinal and time to event data using penalized splines

The joint models for non linear longitudinal and time to event data using penalized splines

THE .JOINT MODELS FOR NON-LINEAR LONGITUDINAL AND TIME-TO-EVENT DATA USING PENALIZED SPLINESFlindersUNIVERSITYA dissertation submit ted for the degree

The joint models for non linear longitudinal and time to event data using penalized splines e of Doctor of Philosophy (Statistics)byHuong Thi Thu PhamCollege of Science and EngineeringFlinders University.July, 2017ContentsList of FiguresviLis

t of TablesXList, of AbbreviationxiiiSummaryxivDeclarationxviPublicationsxvii1Introduction12Literature Review52.1Longitudinal data analysis........... The joint models for non linear longitudinal and time to event data using penalized splines

........................... 52.1.1Linear mixed effects models............................... 72.1.1.1Models ..........................................

The joint models for non linear longitudinal and time to event data using penalized splines

. 72.1.1.2Parameter estimation ............................. 82.1.2Penalized spline longitudinal models .................... 102.2Survival analysis of

THE .JOINT MODELS FOR NON-LINEAR LONGITUDINAL AND TIME-TO-EVENT DATA USING PENALIZED SPLINESFlindersUNIVERSITYA dissertation submit ted for the degree

The joint models for non linear longitudinal and time to event data using penalized splines s...................... 152.2.3The Cox and extended Cox models.......................... 1G2.3Standard joint models for longitudinal and time-lo-event

data............. 182.3.1Standard joint models.............................................. 182.3.1.1The survival submodel.......................... The joint models for non linear longitudinal and time to event data using penalized splines

........... 192.3.1.2 The longitudinal submodel...................................202.3.2Erequentist inference........................................

The joint models for non linear longitudinal and time to event data using penalized splines

...... 202.3.2.1An ordinary two-stage approach............................ 202.3.2.2A full likelihood approach.................................212.4Ba

THE .JOINT MODELS FOR NON-LINEAR LONGITUDINAL AND TIME-TO-EVENT DATA USING PENALIZED SPLINESFlindersUNIVERSITYA dissertation submit ted for the degree