Collaborations in the area of ranked-set sampling continue to dominate my research effort. Joint work with Elizabeth Stasny and a graduate student, Haiying Chen, investigates the use of logistic regression in conjunction with ranked set sampling methodology to improve estimation of population proportions. Joint work with Omer Ozturk and a graduate student, Roxana Alexandridis, deals with multi-sample inference for simple-tree alternatives. We are also working with a visitor, Omer Bilgin, on the application of ranked set sample methodology to animal breeding experiments. My work on modeling corrosion in aluminum alloys used in aircraft wings continues with Jerry Frankel in the Department of Materials Science and Engineering and a graduate student, Shiling Ruan. Other collaborative efforts include those with Professor Paul Horn from the University of Cincinnati regarding the use of rank permutation groupings to make inferences in the two-way layout and studies with Angela Dean and Jeff Lehman at Battelle Memorial Institute on nonparametric tests for interaction.
Statistical Model of Intergranular Corrosion Growth Kinetics
Dr. Douglas Wolfe
With techniques which measures the time for the fastest-growing localized corrosion site to penetrate foils of various thicknesses, it is found that the growth kinetics of localized corrosion of AA2024-T3 (a high strength aluminum alloy) exhibits a strong anisotropy. This effect occurs as pits initiated on the surface transferred into intergranular corrosion and thus is the result of the microstructure of this type of alloy. Statistic method is developed to model the relationship between the anisotropy of intergranular corrosion kinetics and the microstructure of this alloy. Details of this research could be found in S. Ruan, D. A. Wolfe, W. Zhang, G. S. Frankel (2004) “Statistical Modeling of Minimum Intergranular Corrosion Path Length in High-Strength Aluminum Alloy”, Technometrics , 46 (1) pp. 69-75(7). Extended work could be found in S. Ruan, D. A. Wolfe and G. S. Frankel (2004) “Statistical Modeling and Computer Simulation of Intergranular Corrosion Growth in AA2024-T3 Aluminum Alloy”, Journal of Statistical Planning and Inference, 126(2),553-568.