Treatment Regime (iii) 11/07/2007 Discussion for today - PowerPoint PPT Presentation

Review of Tiastis ’ slides on Dynamic Treatment Regime (iii) 11/07/2007

Discussion for today

      * * ( , , ) { ( ) ( , 0) | , } l a E Y a Y a L l A a    1 1 1 j j j j j j j j

SA Murphy (JRSSB, 2003) Dynamic programming:  ( , ) sup { [ | , , ]}, J L a E Y L a a   0 1 1 K K a K K K K  * ( , ) arg sup { [ | , , ]}, d L a E Y L a a   1 1 K K K a K K K K The subsequently for each , j  ( , ) sup { [ ( , ) | , , ]}, J L a E J L a L a a       K j j j 1 a K j 1 j 1 j j j 1 j j  * ( , ) arg sup { [ ( , ) | , , ]},......... d L a E J L a L a a      1 1 1 1 j j j a K j j j j j j j * * * Afterwards, the optimal rules are { , ,..., }. d d d 1 2 K

Too Naïve for a complex process