作者sandows (仙道群)
看板Statistics
标题[问题] Bayesian的作业
时间Mon Jan 29 02:28:40 2007
我们作业里面提到一个名词
"independently distributed a posteriori."
请问一下这是什麽意思呢？
题目的原文如下
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).
我翻译一下
胃冷冻曾被建议为治疗胃溃疡的程序之一。在一随机化的试验中，
实验组(接受疗程的)20人中有四人表示病况有改善，而对照组19人
中有5人表示病况有改善。现在令theta1和theta2为实验组和对照组
病况有改善的机率。假设此二数据互相二独立，并符合二项式分布；
theta1 和theta2 符合均匀分布於 (0,1)*(0,1)
1. Show that theta1 and theta2 are
independently distributed a posteriori.
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1F：推 sld:theta1 和 theta2 的 posterior distributions是 independent 01/29 08:09