臺灣博碩士論文加值系統

我們探討來自發育神經毒的偏斜常態資料之劑量反應模型, 在分層的結構下推導出反應的非條件分配, 並且探討來自同一窩的樣本內相關性問題, 最後利用最大概似估計法去估計模型的參數, 並觀察相關係數會對這個模型的影響。

The distribution of the mean of a random sample drawn from a skew-normal
population was derived by Su and Gupta (2015). Here, we consider a hi-
erarchical structure and derive the distribution of the sample mean when
the location parameter itself is a random variable with a skew-normal dis-
tribution. We propose a dose-response model for the data obtained from
developmental neurotoxicological experiments. To account for the critical
issue of the correlation among responses from pups in the same litter, the so
called intralitter correlation, a hierarchical distributional structure is used to
derive the underlying unconditional distribution of responses. The maximum
likelihood method is used to estimate model parameters. An example with
real experimental data is used to provide further illustration.

目錄
1 簡介1
2 發展神經毒實驗的問題設計3
3 劑量反應模型的建立5
4 資料模擬10
4.1 模擬一. . . . . . . . . . . . . . . . . . . . . . . . 10
4.2 模擬二. . . . . . . . . . . . . . . . . . . . . . . . 14
5 結論17
附錄18
參考文獻31

圖目錄
4.1 在不同n且在不同P與之下的V (¯xij)之值. . . . . . . 14
5.1 在不同P之下的B0之MLE . . . . . . . . . . . . . . . 18
5.2 在不同P之下的B1之MLE . . . . . . . . . . . . . . . 19
5.3 在不同P之下的B1之MLE . . . . . . . . . . . . . . . 20
5.4 在不同P之下的B2之MLE . . . . . . . . . . . . . . . 21
5.5 在不同P之下的B2之MLE . . . . . . . . . . . . . . . 22
5.6 在不同P之下的Y0和Y1之MLE . . . . . . . . . . . . . 23
5.7 在不同P之下的Y0和Y1之MLE . . . . . . . . . . . . . 24
5.8 在不同P之下的O2之MLE . . . . . . . . . . . . . . . 25
5.9 在不同P之下的O2之MLE . . . . . . . . . . . . . . . 26
5.10 在不同P之下的L之MLE . . . . . . . . . . . . . . . 27
5.11 在不同P之下的L之MLE . . . . . . . . . . . . . . . 28
5.12 在不同P之下的a之MLE . . . . . . . . . . . . . . . 29
5.13 在不同P之下的a之MLE . . . . . . . . . . . . . . . 30

表目錄
2.1 正交試驗設計表. . . . . . . . . . . . . . . . . . . . 4
4.1 老鼠嗅覺判別反應之花費時間. . . . . . . . . . . . . 10
4.2 公的幼兒之模型參數的最大概似估計. . . . . . . . . 12
4.3 母的幼兒之模型參數的最大概似估計. . . . . . . . . 13
4.4 公的幼兒之模型參數的最大概似估計. . . . . . . . . 15
4.5 模擬時T2跟O2使用的實際值. . . . . . . . . . . . . . 16

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