Difference between revisions of "Linear Fits"

From New IAC Wiki
Jump to navigation Jump to search
 
(17 intermediate revisions by the same user not shown)
Line 7: Line 7:
 
=Calculated Dose vs PMT Counts=
 
=Calculated Dose vs PMT Counts=
  
−
These fits were created using OSLs I irradiated using the 20Ci <math> ^{137}Cs </math> Source. I calculated the dose the OSLs should have on them using the dose calculations on the previous page. The PMT counts came straight from the OSL reader.  
+
These fits were created using OSLs I irradiated using the 9.3Ci <math> ^{137}Cs </math> Source. I calculated the dose the OSLs should have on them using the dose calculations on the previous page. The PMT counts came straight from the OSL reader.  
  
−
Number of degrees of freedom is data points - fit parameters
+
Number of degrees of freedom = data points - fit parameters
  
−
I should note that the low dose calibration factor from the OSL reader is 9.496494 and  0.6806084 for the high dose.  
+
I should note that the low dose calibration factor from the OSL reader is 9.496494 and  0.6806084 for the high dose. These values are close to the slopes of their respective linear fits.
 +
 
 +
<math> \frac{PMT Counts}{(Calibration\ factor)\ (Sensitivity)} = Dose\ (mRad) </math>
  
 
[[File:Low_Dose_OSL_Cal.png|400px|thumb|left|<math> {\chi}^2 = 0.31801</math>, <math> \text{# of Degrees of Freedom} = 2</math> ]]
 
[[File:Low_Dose_OSL_Cal.png|400px|thumb|left|<math> {\chi}^2 = 0.31801</math>, <math> \text{# of Degrees of Freedom} = 2</math> ]]
Line 18: Line 20:
  
 
[[File:High&Low_Dose_OSL_Cal.png|400px|thumb|left|<math> {\chi}^2 = 1396.82</math>, <math> \text{# of Degrees of Freedom} = 5</math>, this image has the high dose PMT counts scaled by 15, which is roughly equivalent to the low dose sloped divided by the high dose slope (no errors taken into account). ]]
 
[[File:High&Low_Dose_OSL_Cal.png|400px|thumb|left|<math> {\chi}^2 = 1396.82</math>, <math> \text{# of Degrees of Freedom} = 5</math>, this image has the high dose PMT counts scaled by 15, which is roughly equivalent to the low dose sloped divided by the high dose slope (no errors taken into account). ]]
 +
 +
[[File:OSL_Cal_As_Of_11-07-17.png|400px|thumb|center|<math> {\chi}^2 = 17.78</math>, <math> \text{# of Degrees of Freedom} = 8</math> ]]
 +
 +
[[File:OSL_Cal_As_Of_01-09-18.png|400px|thumb|left|<math> {\chi}^2 = 18.1258</math>, <math> \text{# of Degrees of Freedom} = 9</math> this image has the high dose PMT counts scaled by 15, which is roughly equivalent to the low dose sloped divided by the high dose slope]]
 +
 +
 +
[[File:Landauer_vs_Cs137_01-18-18.png|400px|thumb|center|this image has the high dose (dose > 10000mRad) PMT counts scaled by 15, which is roughly equivalent to the low dose sloped divided by the high dose slope]]
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
 +
  
  
 +
==Up to date fit==
  
 +
[[File:OSL_Cal_As_Of_01-24-18.png|400px|thumb|left|<math> {\chi}^2 = 11.4687</math>, <math> \text{# of Degrees of Freedom} = 8</math> this image has the high dose PMT counts scaled by 15, which is roughly equivalent to the low dose sloped divided by the high dose slope]]
  
  
 +
[[File:Landauer_vs_Cs137_01-24-18.png|400px|thumb|center|this image has the high dose (dose > 10000mRad) PMT counts scaled by 15, which is roughly equivalent to the low dose sloped divided by the high dose slope]]
  
  

Latest revision as of 19:53, 24 January 2018

Initial Fits

These fits are listed dose (from Landauer) vs measured dose (from OSL reader).

This fit was calculated using only the OSLs provided by Landauer for calibrating the OSL reader. [math] {\chi}^2 = 359.191[/math] [math] \text{# of Degrees of Freedom} = 13[/math]
This fit was calculated using the OSLs provided by Landauer and 6 Nanodot OSLs dosed by using the 137Cs source. [math] {\chi}^2 = 686.664[/math] [math] \text{# of Degrees of Freedom} = 19[/math]

Calculated Dose vs PMT Counts

These fits were created using OSLs I irradiated using the 9.3Ci [math] ^{137}Cs [/math] Source. I calculated the dose the OSLs should have on them using the dose calculations on the previous page. The PMT counts came straight from the OSL reader.

Number of degrees of freedom = data points - fit parameters

I should note that the low dose calibration factor from the OSL reader is 9.496494 and 0.6806084 for the high dose. These values are close to the slopes of their respective linear fits.

[math] \frac{PMT Counts}{(Calibration\ factor)\ (Sensitivity)} = Dose\ (mRad) [/math]

[math] {\chi}^2 = 0.31801[/math], [math] \text{# of Degrees of Freedom} = 2[/math]
[math] {\chi}^2 = 5.04898[/math], [math] \text{# of Degrees of Freedom} = 1[/math]
[math] {\chi}^2 = 1396.82[/math], [math] \text{# of Degrees of Freedom} = 5[/math], this image has the high dose PMT counts scaled by 15, which is roughly equivalent to the low dose sloped divided by the high dose slope (no errors taken into account).
[math] {\chi}^2 = 17.78[/math], [math] \text{# of Degrees of Freedom} = 8[/math]
[math] {\chi}^2 = 18.1258[/math], [math] \text{# of Degrees of Freedom} = 9[/math] this image has the high dose PMT counts scaled by 15, which is roughly equivalent to the low dose sloped divided by the high dose slope


this image has the high dose (dose > 10000mRad) PMT counts scaled by 15, which is roughly equivalent to the low dose sloped divided by the high dose slope
















Up to date fit

[math] {\chi}^2 = 11.4687[/math], [math] \text{# of Degrees of Freedom} = 8[/math] this image has the high dose PMT counts scaled by 15, which is roughly equivalent to the low dose sloped divided by the high dose slope


this image has the high dose (dose > 10000mRad) PMT counts scaled by 15, which is roughly equivalent to the low dose sloped divided by the high dose slope












Reproducibility with 137Cs

Retrieved from "https://wiki.iac.isu.edu/index.php?title=Linear_Fits&oldid=121299"