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Mixture of Normal Distribution   Message List  
Reply | Forward Message #1994 of 4104 |
Re: [Statisticians_group] Mixture of Normal Distribution

Please specify the sample size.
 
if the sample size is large the test statistics is
 
Z=(X(bar) – Mu)/ (sigma/Sqrt(n))
 
 
if the sample size is small the test statistics is
 
t=(X(bar) – Mu)/ (s/Sqrt(n)) where s= (n1(s1*s1)+n2(s2*s2))/(n1 + n2 -2)
 

stat stat <stat700004@...> wrote:
Dear all Statistician,
 
Suppose I have a series of observations like x1, x2,................, xn. Now I want to test the following hypothsis:
 
H0: x[i] comes from N(mu1, sigma1)
H1: x[i] comes from N(mu2, sigma2)
 
Can anyone tell me that how can I test that, what will be test statistic, what will be it's distribution undel null etc?
 
your help will be highly appreciated.
 
 
Thanks ans regards;
stat
 
 

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Sat Mar 3, 2007 8:48 am

m_deepak_stat
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Message #1994 of 4104 |
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Dear all Statistician, Suppose I have a series of observations like x1, x2,................, xn. Now I want to test the following hypothsis: H0: x[i] comes...
stat stat
stat700004
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Mar 2, 2007
10:44 am

Please specify the sample size. if the sample size is large the test statistics is Z=(X(bar) – Mu)/ (sigma/Sqrt(n)) if the sample size is small the test...
Deepak Manohar
m_deepak_stat
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Mar 4, 2007
1:58 pm

Dear Deepak, thanks for your reply. But I will suggest you to study basic statistical tools. the t-test used generally to test means ok? This problem is...
stat stat
stat700004
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Mar 5, 2007
9:45 am

HI All, Any body knows the KANO ANALYSIS, if yes, please send me the deatils about this and also let me know which software will use for this analysis. Thanks...
prakash pujar
prakash78pk
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Mar 6, 2007
2:20 am

I know about Kano Analysis, however do not have any software for the same. I shall try to answer ur specific query to the best of my ability. Regards Prateek ...
Prateek
goyalprateek
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Mar 7, 2007
2:49 am

Hi Prakash, Kano analysis is a quality measurement tool used to prioritize customer requirements based on their impact to customer satisfaction.It is a quality...
kumar radhakrishnan
kumar_rr82003
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Mar 7, 2007
6:34 am

All Kano Analysis was developed by Prof. Kano at Tokyo University of Science in 1979. It measures consumer reaction to proposed benefits without product usage....
Pradipta Sarkar
sarkarp2002
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Mar 8, 2007
3:31 am

Hi Stat I am sure that you are well aware about Likelihood ratio test. If not then go through the all technical details of it. The test of hypothesis problem...
Madan Gopal Kundu
madan4331
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Mar 5, 2007
4:38 pm

Dear Manohar and Madan, First I would like to say that "Fundamentals of Mathematical Statistics" should not be treated as a reference book in statistics...
stat stat
stat700004
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Mar 6, 2007
2:20 am
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