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INSERM Workshop, St. Raphael Synthesis (personal point of view…). Bruno Falissard Univ . Paris-Sud, INSERM U669. Synthesis. The objective of a statistician is 1/ To understand, formalize a question and to propose an appropriate answer from the analyze of a dataset
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INSERM Workshop, St. RaphaelSynthesis (personal point of view…) Bruno Falissard Univ. Paris-Sud, INSERM U669
Synthesis • The objective of a statistician is • 1/ To understand, formalize a question and to propose an appropriate answer from the analyze of a dataset • 2/ To be confident in this answer • 3/ As possible, to use analyses that are understandable by the potential reader
Synthesis • Mixture models for longitudinal data are fecund (Sylvana) • They can be used to obtain trajectories • They can be used for more
Obtaining trajectories • K-means algorithm (KmL) • “Non parametric” • First intention • Exploratory approach • Good pair of glasses • 1/, 2/, 3/
Obtaining trajectories • Proc Traj • Statistical Model • Trajectories likely to be of a better quality • 1/, 2/, 3/
Obtaining trajectories • Questions • What is a trajectory? (realism versus nominalism) • Group membership is a convenient statistical fiction • The question of the number of trajectory is quixotic • Valorization of trajectories: crosstab
Obtaining more than trajectories • Daniel (PS) • Cécile (mixed models with LC) • Hélène (joint models with LC) • Bengt (drug only responders, non ignorable drop outs) • Thiomir (survival) • Maria (bayesian, piecewise parametric) • José (classification)
Obtaining more than trajectories • Sophisticated models integrating two approaches • Fully explicit • Bottom-up / top-down • P-values and BIC
Obtaining more than trajectories • Perhaps two different paradigms • Local: Hélène/Cécile • Global: M-plus • Remark of J.L. Foulley • Mplus is a new language? • 1/, 2/, 3/ ?
Obviously, there is here a promising and emerging field: • Of applications • Of research