A special feature of Probability and Statistics Day at UMBC 2014 is that the conference, including the workshop, is open to all statistics graduate students from UMBC and local universites free of charge; however, REGISTRATION IS REQUIRED! The deadline to register is Friday, April 11, 2014. // REGISTER NOW
For more information, contact any member of the organizing committee:
Bimal Sinha
Conference Chair
443.538.3012
Kofi Adragni
410.455.2406
Yvonne Huang
410.455.2422
Yaakov Malinovsky
410.455.2968
Thomas Mathew
410.455.2418
Nagaraj Neerchal
410.455.2437
DoHwan Park
410.455.2408
Junyong Park
410.455.2407
Anindya Roy
410.455.2435
Elizabeth Stanwyck
410.455.5731
Participant Information
Anjana Grandhi
Poster: Multiple Testing Procedures for Hierarchically Structured Families of Hypotheses
We develop a mixed directional false discovery rate (mdFDR) controlling procedure in the context of Uterine Fibroid gene expression data (Davis et al., 2013). The main question of interest that arises in this research is to find out which genes are associated with onset, growth and size of tumor and find the trends in mean gene expressions across several categories of size or tumor, location etc. To answer these questions we formulate a three-stage testing problem and propose a general procedure that can be used with any mixed directional familywise error rate (mdFWER) controlling procedure for each gene, while controlling mdFDR as the overall error rate. We prove that our procedure controls mdFDR when the underlying test statistics are independent across the genes. We report the results of a simulation study evaluating the performance of the procedure under independence and dependence of the underlying test statistics relative to the procedure in Guo et al. (2010). We then develop methodology based on the general procedure in the context of uterine fibroid gene expression data discussed in Davis et al. (2013) and compare the results.