作者crazyda (.......)
看板Statistics
标题请各位高手帮帮忙 我实在不会这两题
时间Sat Mar 25 01:02:04 2006
1.To test H0:p=0.5 against H1:p<0.5,We take a random sample of independent and
identically distributed (i.i.d.) Bernoulli trails,X1,X2....X6,and use for
our test statistic Y=Σi=1~6 Xi(A Bernoulli trail X is a binary variable
such that P(X=1)=p and P(X=0)=1-p. The critical region of this test is
defined by {Y:Y=<2}
(a)Indicate the distribution of Y under H0
(b)Calculate the significance level,i.e.,the probability of type 1 error
of this test
(c)Calculate the power of this test at p=1/3
2.一研究要探讨某一疾病(Y)与某一风险因子(X1)之间关联性,为控制X2.X3二干扰因子,
进行n个配对设计.在实例中Y可为肺癌,y=1代表个体染病,y=0代表个体未染病;X1可为
抽菸,X1=1代表个体抽菸,X1=0代表个体未抽菸;X2可为个体性别,X2=1代表男性,X2=0
代表女性;X3可为个体婚姻状态,X3=1代表已婚三年以上,X3=0代表未婚或已婚未满三年.
配对资料结果如下:
_________________________________________________________________________
配对情形 染病者之X1 未染病者之X1 总观察
X2 X3 配对数
_________________________________________________________________________
1 1 1 1 n1
1 1 0 0 n2
1 1 1 0 n3
1 1 0 1 n4
0 0 1 1 n5
0 0 0 0 n6
0 0 1 0 n7
0 0 0 1 n8
1 0 1 1 n9
1 0 0 0 n10
1 0 1 0 n11
1 0 0 1 n12
0 1 1 1 n13
0 1 0 0 n14
0 1 1 0 n15
0 1 0 1 n16
__________________________________________________________________________
请说明此资料有何统计讯息,利用你所写出的统计讯息进行对应此讯息的统计分析.(注:
本题可议不写出统计问题,作者必须由题意及资料,表达出自己对统计分析的领悟力,统计
分析内容应包含,如:检定拟说/分析方法正确的检定统计量推导过程/及其大样本分布等)
感谢感谢!!!
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