[b1_ana] Statistics using Positive Polarization Only

[O. A. Rondon]

Hi,

I think that the errors don't change, if N = Np + Nu. What changes is
the time, which it would then be the sum of Np time plus Nu time. It's
like this:

eq. (25b) dAzz = 2/sqrt(N) = 2/sqrt(2*Nu) = sqrt(2/Nu)

the error is the same, but of course, it takes twice as long to collect
Nu + Np, than just Nu or Np.

In summary, other than the extra sqrt(2) in the numerator, all numbers
should be the same.

Cheers,

Oscar

Dustin Keller wrote:
> Hi Elena,
> why before eq 25 you use Np=Nu=N/2, why not just have
> Np=Nu=N?
> 
> On Thu, 2 May 2013, Elena Long wrote:
> 
>> Good afternoon,
>>
>> I've re-run the statistics using the method we decided on yesterday. The 
>> results can be seen here: 
>> https://hallcweb.jlab.org/wiki/index.php/Elong-13-05-01-Azz-Method-2#Plots_with_using_Azz_Method_2_Calculations
>>
>> Please note that they have grown by a factor of two compared to the previous 
>> assumption, where we had both positive and negative polarization. The 
>> calculations for the new method are formalized in 
>> https://hallcweb.jlab.org/wiki/index.php/Elong-13-05-01-Azz-Method-2#Azz_Formalism_-_Method_2
>>
>> Oscar has been mentioning that the code was missing a sqrt(2), which was 
>> true. The other sqrt(2) on top of it comes from the assumption before 
>> equation 25, which brings the total uncertainty a factor of two larger than 
>> was projected with the old method.
>>
>> Take care,
>> Ellie
>>
>> -- 
>> Elena Long, Ph.D.
>> Post Doctoral Research Associate
>> University of New Hampshire
>> elena.long at unh.edu
>> ellie at jlab.org
>> http://nuclear.unh.edu/~elong
>> (603) 862-1962
>>
>>
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