推 sld:theta1 和 theta2 的 posterior distributions是 independent 01/29 08:09
我們作業裡面提到一個名詞
"independently distributed a posteriori."
請問一下這是什麼意思呢？
題目的原文如下
Gastric freezing was once recommended treatment for ulcers
in the upper intestine. A randomized comparative experiment
found that 4 of the 20 patients who were subjected
to gastric freezing improved while 5 of the 19 patients in
the control group improved. Let theta1 and theta2 be the probabilities
of improvement in the treated and control groups,
respectively. Assume that the data is generated from two independent
binomial distributions and the prior for (theta1, theta2), is
uniform over the square (0,1)*(0,1).
我翻譯一下
胃冷凍曾被建議為治療胃潰瘍的程序之一。在一隨機化的試驗中，
實驗組(接受療程的)20人中有四人表示病況有改善，而對照組19人
中有5人表示病況有改善。現在令theta1和theta2為實驗組和對照組
病況有改善的機率。假設此二數據互相二獨立，並符合二項式分佈；
theta1 和theta2 符合均勻分佈於 (0,1)*(0,1)
1. Show that theta1 and theta2 are independently distributed a posteriori.
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