Speaker: Yangling (Tara) Cai

Title: Breaking the same board twice: the magic of statistics!

Abstract: Stresses affect strength properties of a lumber specimen simultaneously. A strong stochastic dependence between these properties would diminish a wooden structure's reliability. Assessing strength relationships is a seemingly insurmountable challenge as every one of these strengths needs a destructive testing to measure. Here is where statistics comes to the rescue. This paper describes a large-scale experiment designed and conducted by Statistics graduate students in a commercial testing lab. It proposes the new theory to infer the stochastic dependence, which applies proof load technique with a penalizing likelihood approach motivated by a Bayesian power prior. The result: asymptotically consistent, more efficient.