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Principal Point Classification: Applications to Differentiating Drug and Placebo Responses in Longitudinal Studies
1Thaddeus Tarpey (corresponding author) is Professor in the Department of Mathematics and Statistics, Wright State University, Dayton, Ohio, thaddeus.tarpe@wright.edu , (937)-775-2861, fax: (937)-775-2081. Eva Petkova is Associate Professor, Child Study Center, School of Medicine, New York University, New York, NY 10016-6023.
Abstract:
Principal points are cluster means for theoretical distributions. A discriminant methodology based on principal points is introduced. The principal point classification method is useful in clinical trials where the goal is to distinguish and differentiate between different treatment effects. Particularly, in psychiatric studies where placebo response rates can be very high, the principal point classification is illustrated to distinguish specific drug responders from non-specific placebo responders.
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