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Survival analysis: same subject with multiple treatments and experience multiple events

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No one else replied so I would just suggest a web search using the term "crossover design"

http://www.google.com/#q=cran+crossover+design+survival

and refer you to any FDA panel discussions regarding any drugs that have been debated with
similar trial designs as part of the debate.

http://www.google.com/#sclient=psy&hl=en&site=&source=hp&q=site:fda.gov+briefing+crossover

The point of the above is to get some idea what can happen as no battle plan survives first
contact with data. Usually the objective in these designs is to infer something about causality in some system
and you just use the statistics to avoid fooling yourself. Personally it seems to me that
understanding of disease and host dynamics is improving to the point where you can
do more with the "carryover effct" that you mention as well as parametric putative prognostic
factors but you can also see opinions vary.