Professor Eric Stone (Director, BDSI)

Professor Eric Stone provides an Introduction and launch of the BDSI Interactive Seminar Series.

Miss Jiali Wang (Postdoctoral Fellow - Data61/CSIRO)

Title: Optimal Design for Adaptive Smoothing Splines

Abstract: We consider the design problem of collecting temporal/longitudinal data, that is, when to perform measurements of the experimental units over time. The adaptive smoothing spline is used as the analysis model where the prior curvature information can be naturally incorporated as a weighted smoothness penalty. The estimator of the curve is expressed in linear mixed model form, and the information matrix of the parameters is derived. The D-optimality criterion is then used to compute the optimal design points. An extension is considered, for the case where subpopulations exert different prior curvature patterns. We compare properties of the optimal designs with the uniform design using simulated data and apply our method to the Berkeley growth data to estimate the optimal ages to measure heights for males and females.