Open Access. Powered by Scholars. Published by Universities.®
![Digital Commons Network](http://assets.bepress.com/20200205/img/dcn/DCsunburst.png)
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 1 of 1
Full-Text Articles in Physical Sciences and Mathematics
Additive P-Value Combination Test, Xing Ling
Additive P-Value Combination Test, Xing Ling
Dissertations, Master's Theses and Master's Reports
This dissertation includes four Chapters. A brief description of each chapter is organized as follows.
In Chapter 1, some developments on multiple hypotheses tests are introduced. Some preliminaries about the definition and the assumption are included.
In Chapter 2, a Stable Combination Test is proposed to combine $p$-values from multiple hypotheses tests. We show the proposed method controls the family-wise error rate at the target level and maintains asymptotically optimal power even when the elementary p-values from the individual hypotheses are dependent.
In Chapter 3, a deeper dig into the additive p-value combination test is performed. A common idea behind …