透過您的圖書館登入
IP:216.73.216.209
  • 學位論文

簡單交叉設計的延續效果

On Carryover Effects in Two-Period Crossover Design

指導教授 : 鄭子韋

摘要


為了檢驗延續效果的差異性,本篇依AB/BA 的簡單交叉設計和它的線性混合效果模型為主,將會使用Grizzle 的二階過程,和其t 檢定和變異數分析。然而此模型的因子,例如延續效果、組別因子、處理與時期因子的交互作用,無法分開區分,是因為同名效果的關系所導致。並以獨立延續效果出來分析為目的,使用不考慮時期因子和加入虛擬變數的區集混合模型。 最後使用實例數據,阿斯匹靈實驗,先從二階過程的t 檢定與變異數分析之公式計算出結果,再使用統計軟體比較線性混合效果模型和假設的區集混合模型之間的差別,並探討R 語言和SAS 的分析方法。

並列摘要


To test the difference of carryover effects, and Grizzle’s two-stage procedure is based on the AB/BA two-period crossover design and linear mixed-effects model with its t-test and analysis of variance. However, carryover effects, group factors and the interactions between treatment factors and period factors cannot be distinguished in the model of two-period crossover design because of alias effect. For the purpose of singling carryover effects out and analysis, building the blocking and mixed-effect model, which eliminated period factors and added dummy variables. Finally, the results of the analysis are obtained from the data of clinical trials using Aspirin with the formulas, comparing the difference between the linear mixed-effects model and both blocking and mixed-effects model the statistical software. And they will be discussed and concluded from using R and SAS.

參考文獻


[1] Bates, D., Mächler, M. and Walker, S. C. and Bolker, B. M. (2015). Fitting Linear Mixed-Effects Model Using lme4, Journal of Statistical Software, Vol. 67, Issue 1.
[2] Brown, B. W. (1980). The Crossover Experiment for Clinical Trials, Biometrics, 36: 69-79.
[3] Barr, D.J., Levy, R., Scheepers, C. and Tily, H. J. (2013). Random Effects Structure for Confirmatory Hypothesis Testing: Keep it maximal, Journal of Memory and Language, 68(3): 255-278.
[4] Cox, D. R. (1984). Interaction, International Statistical Review, Vol. 52, 1-24.
[5] Cox, D. R. (1992). Planning of Experiments, John Wiley & Sons, Inc.

延伸閱讀