Behavior of t-statistic in Multiple Hypothesis Testing Problem

• Main Authors: Wang, Yi-Lun, 王怡倫
• Other Authors: Hung, Hui-Nien
• Format: Others
• Language: en_US
• Online Access: http://ndltd.ncl.edu.tw/handle/23043904325865465824

碩士 === 國立交通大學 === 統計學研究所 === 97 === Microarray data has been studied widely, with thousands or even millions of test statistics ti's to be considered at the same time. These test statistics ti's are correlated or not regular distributed on multiple testing procedure. In this paper, we discussed three possible reasons for the distribution of test statistics ti's differing from t-distribution. The three reasons are correlation between genes, correlation among microarrays, and various distribution assumptions. Then, we consider several models and conclude that correlation among microarrays and various distribution assumptions are most important effects which make the distribution of test statistics ti's differing from t-distribution. Key words: Multiple testing procedure, t-statistics, t-distribution.