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

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{| border="1" cellpadding="20" cellspacing="0"
 
{| border="1" cellpadding="20" cellspacing="0"
! colspan="2"|Plateau Zeroing
+
! colspan="2"|Angular Distribution
 
|-
 
|-
 
|Time Start
 
|Time Start
 
|Time Stop
 
|Time Stop
|Time elapsed (min.)
+
|Time elapsed (min.; hour)
 
|Thresholds on both Scintillators
 
|Thresholds on both Scintillators
 
|Singles Count (on top)
 
|Singles Count (on top)
 
|Coinc. Counts
 
|Coinc. Counts
 
|Coinc. per minute
 
|Coinc. per minute
 +
|Coinc. per Hour
 
|Angle measure
 
|Angle measure
 
|-
 
|-
 
|1:35 pm on 8/31
 
|1:35 pm on 8/31
 
|1:10 pm on 9/04
 
|1:10 pm on 9/04
|5725 min
+
|5725 min; 95.42 hr
 
|225
 
|225
 
|626816
 
|626816
 
|1654
 
|1654
 
|.2889
 
|.2889
 +
|17.33
 
|75 degrees
 
|75 degrees
 
|}<br>
 
|}<br>
  
 +
Cosmic rates measured each hour when the telecope accepts cosmics which intersect the earth's surface perpendicularly (defined as zero degrees).
 
{| border="1" cellpadding="20" cellspacing="0"
 
{| border="1" cellpadding="20" cellspacing="0"
 
|-
 
|-
 
|Time Start
 
|Time Start
 
|Time Stop
 
|Time Stop
|Time elapsed (min.)
+
|Time elapsed (hour)
 
|Singles Count (on top)
 
|Singles Count (on top)
 
|Coinc. Counts
 
|Coinc. Counts
|Coinc. per minute
+
|Coinc. per hour
|<math>\sqrt(N)</math>
+
|<math>\sqrt{N}</math>
|<math>(x_i-\var{x})^2</math>
+
|<math>\sqrt{(x_i-\bar{x})^2}</math>
 +
|-
 +
|1:20 pm || 2:20 pm ||1 ||5694 ||127 || 127 || 11.3 ||11
 +
|-
 +
|2:20 pm || 3:20 pm ||1 ||4896 ||136 || 136 || 11.6 ||2
 
|-
 
|-
|1:35 pm on 8/31
+
|3:20 pm || 4:20 pm ||1 ||4655 ||151 || 151 || 12.2 ||13
|1:10 pm on 9/04
 
|5725 min
 
|225
 
|626816
 
|1654
 
|.2889
 
|75 degrees
 
 
|}<br>
 
|}<br>
 +
 +
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.
 +
[http://www.iac.isu.edu/mediawiki/index.php/Statistics_for_Experimenters See Statistics for Experimentalists]

Latest revision as of 21:42, 19 September 2007

Angular Distribution
Time Start Time Stop Time elapsed (min.; hour) Thresholds on both Scintillators Singles Count (on top) Coinc. Counts Coinc. per minute Coinc. per Hour Angle measure
1:35 pm on 8/31 1:10 pm on 9/04 5725 min; 95.42 hr 225 626816 1654 .2889 17.33 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]\sqrt{(x_i-\bar{x})^2}[/math]
1:20 pm 2:20 pm 1 5694 127 127 11.3 11
2:20 pm 3:20 pm 1 4896 136 136 11.6 2
3:20 pm 4:20 pm 1 4655 151 151 12.2 13


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