作者Amancino (科学家)
看板Statistics
标题[问题] sampling distribution
时间Tue Oct 10 23:49:04 2006
Imagine that you have just invented a statistical test called
the Mode Test to test whether the mode of a population is some
value (eg.,100). The statistic (M) is calculated as
M=sample mode/ sample range
Describe how you could obtain the sampling distribution of M.
(Note:This is a purely fictious statistic as far as I am aware.)
我知道从母体分配(μ,σ)中重复抽取无数次的样本,
计算某一个样本统计量(如平均数),
则无限多个平均数会形成一个常态分配,称之,以N~(μx,σx)表示。
若假设X为平均数E(X)=及变异数V(X)=之随机变数,
为大小等於n之样本平均数,则不论群体为何种分配,
若由群体中抽取大小为n之样本,
样本平均数分配之平均数等於群体的平均数,
而样本平均数之变异数等於群体变异数除以样本大小
但请问上面的题目要如何用抽样分配的概念回答,不太了解题目的意思
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