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Physical Sciences and Mathematics Commons

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Statistics and Probability

Selected Works

2007

Statistical Theory and Methods

Articles 1 - 2 of 2

Full-Text Articles in Physical Sciences and Mathematics

Individualized Treatment Rules: Generating Candidate Clinical Trials, Maya Petersen, Steven G. Deeks, Mark J. Van Der Laan Oct 2007

Individualized Treatment Rules: Generating Candidate Clinical Trials, Maya Petersen, Steven G. Deeks, Mark J. Van Der Laan

Maya Petersen

Individualized treatment rules, or rules for altering treatments over time in response to changes in individual covariates, are of primary importance in the practice of clinical medicine. Several statistical methods aim to estimate the rule, termed an optimal dynamic treatment regime, which will result in the best expected outcome in a population. In this article, we discuss estimation of an alternative type of dynamic regime—the statically optimal treatment rule. History-adjusted marginal structural models (HA-MSM) estimate individualized treatment rules that assign, at each time point, the first action of the future static treatment plan that optimizes expected outcome given a patient’s …


Chess, Chance And Conspiracy, Mark Segal Dec 2006

Chess, Chance And Conspiracy, Mark Segal

Mark R Segal

Chess and chance are seemingly strange bedfellows. Luck and/or randomness have no apparent role in move selection when the game is played at the highest levels. However, when competition is at the ultimate level, that of the World Chess Championship (WCC), chess and conspiracy are not strange bedfellows, there being a long and colorful history of accusations levied between participants. One such accusation, frequently repeated, was that all the games in the 1985 WCC (Karpov vs Kasparov) were fixed and prearranged move by move. That this claim was advanced by a former World Champion, Bobby Fischer, argues that it ought …