Difference: SeparationpowerExampleplot (1 vs. 2)

Revision 2
19 Jul 2006 - Main.KlausFoehl
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META TOPICPARENT name="PidtagMeeting02"

Example Plot for Separation Power

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-- KlausFoehl - 26 Jun 2006
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From Sigma to Efficiencies

  • curves:
    curves half size
The separation of two distributions does not yet specify the acceptance and rejection efficiencies. The graph (horizontal axis background particle 0, vertical axis particle 1) above shows probability lines for hypothesis (particle identified as) 0 and 1 (0.3 i.e. 70% 0 and 30% 1) for Gaussian distributions separated by 0,1,2,3,4 sigma (black lines). For non-gaussian behaviour see coloured lines examples.

  • 2gauss with red line:
    2gauss with red line
It is only the next step that the choice of a separation criterion (red line) determines the efficiencies.
  • curves with red dot:
    curves with red dot
This corresponds to selecting a point (red blob, happens to be on the 2sigma line) in parameter space. Here only 60% of particles 1 are correctly identified, as only 4% of particles 0 are false positives.

-- KlausFoehl - 19 Junl 2006

 
META FILEATTACHMENT attr="" comment="separation power expressed in sigma" date="1151333460" name="betasigma30port.eps" path="betasigma30port.eps" size="32618" user="KlausFoehl" version="1.1"
META FILEATTACHMENT attr="" comment="separation power expressed in sigma" date="1151333708" name="betasigma30port.gif" path="betasigma30port.gif" size="6049" user="KlausFoehl" version="1.1"
META FILEATTACHMENT attr="" comment="distributions for kaons and pions" date="1151335253" name="visualisation1.gif" path="visualisation1.gif" size="2689" user="KlausFoehl" version="1.1"
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META FILEATTACHMENT attr="" comment="2gauss with red line" date="1153304450" name="visualisation2.gif" path="visualisation2.gif" size="2873" user="KlausFoehl" version="1.1"
META FILEATTACHMENT attr="" comment="curves with red dot" date="1153304492" name="tagplot1a.gif" path="tagplot1a.gif" size="3208" user="KlausFoehl" version="1.1"
META FILEATTACHMENT attr="" comment="curves" date="1153304675" name="tagplot1.gif" path="tagplot1.gif" size="7030" user="KlausFoehl" version="1.1"
META FILEATTACHMENT attr="" comment="curves half size" date="1153305302" name="tagplot1h.gif" path="tagplot1h.gif" size="3189" user="KlausFoehl" version="1.1"
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