Bayesian Inferences on Shape Constrained Hormone Trajectories in the Menstrual Cycle Laura H. Gunn 1,* and David B. Dunson 2 September 5, 2003 1 Institute of Statistics and Decision Sciences, Duke University, P.O. Box 90251 Durham, NC 27708-0251 ∗ email: laura@stat.duke.edu 2 Biostatistics Branch, National Institute of Environmental Health Sciences, MD A3-03, P.O. Box 12233, Research Triangle Park, NC 27709 1