作者crazyda (.......)
看板Statistics
標題請各位高手幫幫忙 我實在不會這兩題
時間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
2.一研究要探討某一疾病(Y)與某一風險因子(X1)之間關聯性,為控制X2.X3二干擾因子,
進行n個配對設計.在實例中Y可為肺癌,y=1代表個體染病,y=0代表個體未染病;X1可為
抽菸,X1=1代表個體抽菸,X1=0代表個體未抽菸;X2可為個體性別,X2=1代表男性,X2=0
代表女性;X3可為個體婚姻狀態,X3=1代表已婚三年以上,X3=0代表未婚或已婚未滿三年.
配對資料結果如下:
_________________________________________________________________________
配對情形 染病者之X1 未染病者之X1 總觀察
X2 X3 配對數
_________________________________________________________________________
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
__________________________________________________________________________
請說明此資料有何統計訊息,利用你所寫出的統計訊息進行對應此訊息的統計分析.(註:
本題可議不寫出統計問題,作者必須由題意及資料,表達出自己對統計分析的領悟力,統計
分析內容應包含,如:檢定擬說/分析方法正確的檢定統計量推導過程/及其大樣本分布等)
感謝感謝!!!
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