Difference between revisions of "September 4, 2007 - Cosmic Telescope"

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Instrumental Uncertainty =<math>\sigma = \sqrt{\frac{\sum (x_i - \bar{x})^2}{N-1}} = 12.12</math> counts per hour
 
Instrumental Uncertainty =<math>\sigma = \sqrt{\frac{\sum (x_i - \bar{x})^2}{N-1}} = 12.12</math> counts per hour
  
Your instrumental uncertainty is approximately equal to the Poisson sigma (<math>\sqrt{138}= 11.7</math>) counts per hour.
+
The instrumental uncertainty is approximately equal to the Poisson sigma (<math>\sqrt{138}= 11.7</math>) counts per hour.
  
 
The cosmic ray telescope counting experiment appears to be following Poisson statistics.
 
The cosmic ray telescope counting experiment appears to be following Poisson statistics.
 
[http://www.iac.isu.edu/mediawiki/index.php/Statistics_for_Experimenters See Statistics for Experimentalists]
 
[http://www.iac.isu.edu/mediawiki/index.php/Statistics_for_Experimenters See Statistics for Experimentalists]

Revision as of 16:59, 5 September 2007

Plateau Zeroing
Time Start Time Stop Time elapsed (min.) Thresholds on both Scintillators Singles Count (on top) Coinc. Counts Coinc. per minute Angle measure
1:35 pm on 8/31 1:10 pm on 9/04 5725 min 225 626816 1654 .2889 75 degrees


Cosmic rates measured each hour when the telecope accepts cosmics which intersect the earth's surface perpendicularly (defined as zero degrees).

Time Start Time Stop Time elapsed (hour) Singles Count (on top) Coinc. Counts Coinc. per hour [math]\sqrt{N}[/math] [math](x_i-\bar{x})^2[/math]
1:20 pm 2:20 pm 1 5694 127 127 11.3 121
2:20 pm 3:20 pm 1 4896 136 136 11.6 4
3:20 pm 4:20 pm 1 4655 151 151 12.2 169


Mean [math]\mu[/math] = 138 counts per hour

Instrumental Uncertainty =[math]\sigma = \sqrt{\frac{\sum (x_i - \bar{x})^2}{N-1}} = 12.12[/math] counts per hour

The instrumental uncertainty is approximately equal to the Poisson sigma ([math]\sqrt{138}= 11.7[/math]) counts per hour.

The cosmic ray telescope counting experiment appears to be following Poisson statistics. See Statistics for Experimentalists