Behavior of t-statistic in Multiple Hypothesis Testing Problem
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 disc...
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ndltd-TW-097NCTU53370072015-10-13T15:42:19Z http://ndltd.ncl.edu.tw/handle/23043904325865465824 Behavior of t-statistic in Multiple Hypothesis Testing Problem 多重假設檢定問題下t統計量的行為 Wang, Yi-Lun 王怡倫 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. Hung, Hui-Nien 洪慧念 學位論文 ; thesis 24 en_US |
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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.
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Hung, Hui-Nien |
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Hung, Hui-Nien Wang, Yi-Lun 王怡倫 |
author |
Wang, Yi-Lun 王怡倫 |
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Wang, Yi-Lun 王怡倫 Behavior of t-statistic in Multiple Hypothesis Testing Problem |
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Wang, Yi-Lun |
title |
Behavior of t-statistic in Multiple Hypothesis Testing Problem |
title_short |
Behavior of t-statistic in Multiple Hypothesis Testing Problem |
title_full |
Behavior of t-statistic in Multiple Hypothesis Testing Problem |
title_fullStr |
Behavior of t-statistic in Multiple Hypothesis Testing Problem |
title_full_unstemmed |
Behavior of t-statistic in Multiple Hypothesis Testing Problem |
title_sort |
behavior of t-statistic in multiple hypothesis testing problem |
url |
http://ndltd.ncl.edu.tw/handle/23043904325865465824 |
work_keys_str_mv |
AT wangyilun behavioroftstatisticinmultiplehypothesistestingproblem AT wángyílún behavioroftstatisticinmultiplehypothesistestingproblem AT wangyilun duōzhòngjiǎshèjiǎndìngwèntíxiàttǒngjìliàngdexíngwèi AT wángyílún duōzhòngjiǎshèjiǎndìngwèntíxiàttǒngjìliàngdexíngwèi |
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