What does these mean in statistical sense??

2001-12-20 Thread Chia C Chong

I have 2 random variables (X and Y). The covariance,c was found equal to
20.2006 and their correlation coefficient,p was 0.0245.

From the statistical book, if their c=0, means that X and Y are uncorrelated
i.e p=0. However, in my case, c is quite large but p is extremely
small...So, what justification could I said with this kind of data??

Thanks..

CCC






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Re: What does these mean in statistical sense??

2001-12-20 Thread Anon.

Chia C Chong wrote:
 
 I have 2 random variables (X and Y). The covariance,c was found equal to
 20.2006 and their correlation coefficient,p was 0.0245.
 
 From the statistical book, if their c=0, means that X and Y are uncorrelated
 i.e p=0. However, in my case, c is quite large but p is extremely
 small...So, what justification could I said with this kind of data??
 
It measn the variances are large.  If s_A is the standard deviation of
A, then 

p_XY = c_XY/(s_X*s_Y)

So for your data, s_X*s_Y = 824.5.  This is why we use p, it's re-scaled
so that the variances are 1, so we can compare correlations of variables
with different variances.  In this case, p looks very close to 0.

Bob

-- 
Bob O'Hara
Metapopulation Research Group
Division of Population Biology
Department of Ecology and Systematics
PO Box 17 (Arkadiankatu 7)
FIN-00014 University of Helsinki
Finland

tel: +358 9 191 28779  mobile: +358 50 599 0540
(Yes, I have finally joined 21st Century Finland)
fax: +358 9 191 28701email: [EMAIL PROTECTED]
To induce catatonia, visit http://www.helsinki.fi/science/metapop/

It is being said of a certain poet, that though he tortures the English
language, he has still never yet succeeded in forcing it to reveal his
meaning
- Beachcomber


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Re: What does these mean in statistical sense??

2001-12-20 Thread Art Kendall

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try doing a scattergram of your two variables.  It should look much more like a
cloud than a line.

Anon. wrote:

 Chia C Chong wrote:
 
  I have 2 random variables (X and Y). The covariance,c was found equal to
  20.2006 and their correlation coefficient,p was 0.0245.
 
  From the statistical book, if their c=0, means that X and Y are uncorrelated
  i.e p=0. However, in my case, c is quite large but p is extremely
  small...So, what justification could I said with this kind of data??
 
 It measn the variances are large.  If s_A is the standard deviation of
 A, then

 p_XY = c_XY/(s_X*s_Y)

 So for your data, s_X*s_Y = 824.5.  This is why we use p, it's re-scaled
 so that the variances are 1, so we can compare correlations of variables
 with different variances.  In this case, p looks very close to 0.

 Bob

 --
 Bob O'Hara
 Metapopulation Research Group
 Division of Population Biology
 Department of Ecology and Systematics
 PO Box 17 (Arkadiankatu 7)
 FIN-00014 University of Helsinki
 Finland

 tel: +358 9 191 28779  mobile: +358 50 599 0540
 (Yes, I have finally joined 21st Century Finland)
 fax: +358 9 191 28701email: [EMAIL PROTECTED]
 To induce catatonia, visit http://www.helsinki.fi/science/metapop/

 It is being said of a certain poet, that though he tortures the English
 language, he has still never yet succeeded in forcing it to reveal his
 meaning
 - Beachcomber

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Re: What does these mean in statistical sense??

2001-12-20 Thread Chia C Chong

Thanks for all the helpful suggestions...

Cheers,
CCC

Art Kendall [EMAIL PROTECTED] wrote in message
[EMAIL PROTECTED]">news:[EMAIL PROTECTED]...
 try doing a scattergram of your two variables.  It should look much more
like a
 cloud than a line.

 Anon. wrote:

  Chia C Chong wrote:
  
   I have 2 random variables (X and Y). The covariance,c was found equal
to
   20.2006 and their correlation coefficient,p was 0.0245.
  
   From the statistical book, if their c=0, means that X and Y are
uncorrelated
   i.e p=0. However, in my case, c is quite large but p is extremely
   small...So, what justification could I said with this kind of data??
  
  It measn the variances are large.  If s_A is the standard deviation of
  A, then
 
  p_XY = c_XY/(s_X*s_Y)
 
  So for your data, s_X*s_Y = 824.5.  This is why we use p, it's re-scaled
  so that the variances are 1, so we can compare correlations of variables
  with different variances.  In this case, p looks very close to 0.
 
  Bob
 
  --
  Bob O'Hara
  Metapopulation Research Group
  Division of Population Biology
  Department of Ecology and Systematics
  PO Box 17 (Arkadiankatu 7)
  FIN-00014 University of Helsinki
  Finland
 
  tel: +358 9 191 28779  mobile: +358 50 599 0540
  (Yes, I have finally joined 21st Century Finland)
  fax: +358 9 191 28701email: [EMAIL PROTECTED]
  To induce catatonia, visit http://www.helsinki.fi/science/metapop/
 
  It is being said of a certain poet, that though he tortures the English
  language, he has still never yet succeeded in forcing it to reveal his
  meaning
  - Beachcomber





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