Action #2752

Check On/Off analysis for H.E.S.S. DR1

Added by Knödlseder Jürgen about 6 years ago. Updated about 6 years ago.

Status:ClosedStart date:11/14/2018
Priority:NormalDue date:
Assigned To:Knödlseder Jürgen% Done:

100%

Category:-
Target version:1.6.0
Duration:

residual_joint.png (26.2 KB) Knödlseder Jürgen, 11/23/2018 10:38 PM

residual_stack_clipping_nonorm.png (22.2 KB) Knödlseder Jürgen, 11/23/2018 10:38 PM

residual_stack_clipping.png (26.3 KB) Knödlseder Jürgen, 11/23/2018 10:38 PM

residual_stack_noclipping.png (26.2 KB) Knödlseder Jürgen, 11/23/2018 10:38 PM

Residual_joint Residual_stack_clipping_nonorm Residual_stack_clipping Residual_stack_noclipping

Recurrence

No recurrence.


Related issues

Related to ctools - Action #2711: Adapt cscripts to support any kind of background model Closed 11/05/2018

History

#1 Updated by Knödlseder Jürgen about 6 years ago

  • Status changed from New to In Progress
  • % Done changed from 0 to 10

Here the H.E.S.S. analysis results for On/Off analysis using 40 reconstructed energy bins from 0.67-30 TeV, compared to the results for unbinned and stacked analysis. The wstat statistic was used. 300 true energy bins between 0.1-100 TeV were used, the On region was centred on Right Ascension of 83.633 deg and Declination of 22.0145 deg with a radius of 0.2 deg.

Analysis Edisp logL TS Prefactor Index CPU
Unbinned Yes 98196.591 2030.800 4.148e-17 +/- 2.005e-18 2.734 +/- 0.070 116.4
Stacked Yes 54059.739 1874.717 3.918e-17 +/- 2.022e-18 2.698 +/- 0.076 2737.0
Joint On/Off Yes 78.972 1126.106 4.458e-17 +/- 2.539e-18 2.626 +/- 0.074 0.1
Stacked On/Off Yes 24.074 1349.707 4.507e-17 +/- 2.704e-18 2.612 +/- 0.077 0.0

#2 Updated by Knödlseder Jürgen about 6 years ago

And here the impact of disabling the clipping in true energy:

Analysis logL TS Prefactor Index CPU
Joint On/Off 78.972 1126.106 4.458e-17 +/- 2.539e-18 2.626 +/- 0.074 0.1
Stacked On/Off (clipping) 24.074 1349.707 4.507e-17 +/- 2.704e-18 2.612 +/- 0.077 0.0
Stacked On/Off (no clipping) 23.206 1351.443 4.558e-17 +/- 2.531e-18 2.623 +/- 0.072 0.0

#3 Updated by Knödlseder Jürgen about 6 years ago

  • % Done changed from 10 to 20

Here the results when fitting the background model using CSTAT (no clipping is implemented in the code anymore). The background model produces using csbkgmodel was used. See #2711 for the adaption of the code that makes this possible.

Analysis logL TS Prefactor Index CPU
Joint On/Off 2022.488 988.621 4.364e-17 +/- 2.548e-18 2.633 +/- 0.078 0.6
Stacked On/Off 3860.357 1105.846 4.407e-17 +/- 2.543e-18 2.633 +/- 0.076 0.1

Note that some hand-tweeking of the model was needed. When running csphagen, the instrument in the model is HESS, but we need a model with HESSOnOff observation for model fitting. Hence we should add an output model to csphagen that produces a model that can be readily fitted using ctlike (see #2711).

#4 Updated by Knödlseder Jürgen about 6 years ago

  • Related to Action #2711: Adapt cscripts to support any kind of background model added

#5 Updated by Knödlseder Jürgen about 6 years ago

To understand whether the response should be clipped or not I inspected the residual spectra for a simulation of Crab observations with different energy thresholds. Below a few plots for different analysis configurations.

The first plot is for a joint analysis, hence clipping does not impact the results since the data are not stacked.

The second plot shows the residuals for a stacked analysis where the ARF and RMF where clipped, but the RMF was not re-normalized. A big residual appears.

The third plot is for a stacked analysis where the ARF and RMF where clipped and the RMF was renormalized. This makes the residual disappear.

The forth plot is for a stacked analysis without clipping. In details the residuals are closer to the joint residuals, hence the ARF and RMF should not be clipped, consistent with the stacked 3D analysis.

Joint
Stacked, no normalization of RMF, clipping
Stacked, clipping
Stacked, no clipping

#6 Updated by Knödlseder Jürgen about 6 years ago

  • % Done changed from 20 to 50

I also checked the On/Off analysis for the RX J1713.7-3946 observation. The tricky thing here is that the emission is quite extended, and if a On region radius of 0.8 deg is chosen, no Off regions exist. I therefore reduced the On region radius to 0.5 deg, which resulted in Off regions for 4 observations.

The results of the On/Off analysis for these 4 observations are listed below, where they are compared to the unbinned and stacked analysis results without energy dispersion.

Analysis logL TS Prefactor Index Cutoff
Unbinned 537778.100 741.007 2.025e-17 +/- 1.983e-18 1.925 +/- 0.118 5.569 +/- 2.057
Stacked 212467.591 688.935 1.776e-17 +/- 1.483e-18 1.931 +/- 0.108 7.092 +/- 2.612
Joint, cstat 13964.036 132.212 1.746e-17 +/- 2.139e-18 1.923 +/- 0.180 16.002 +/- 10.444
Stacked, cstat 20490.631 110.990 2.017e-17 +/- 3.502e-18 1.773 +/- 0.254 6.843 +/- 4.821
Joint, wstat 72.500 149.492 2.603e-17 +/- 6.593e-18 1.787 +/- 0.309 4.523 +/- 3.617
Stacked, wstat 22.311 163.271 2.215e-17 +/- 2.763e-18 1.956 +/- 0.181 11.185 +/- 7.684

For comparison also the results for a power law fit.

Analysis logL TS Prefactor Index
Joint, cstat 13962.781 129.697 1.568e-17 +/- 1.690e-18 2.158 +/- 0.108
Stacked, cstat 20488.540 106.807 1.602e-17 +/- 1.666e-18 2.182 +/- 0.108
Joint, wstat 75.526 143.440 1.881e-17 +/- 1.638e-18 2.257 +/- 0.102
Stacked, wstat 23.804 160.285 1.910e-17 +/- 1.634e-18 2.216 +/- 0.090

Overall the results look good. I therefore consider the On/Off analysis as validated.

#7 Updated by Knödlseder Jürgen about 6 years ago

  • Status changed from In Progress to Closed
  • % Done changed from 50 to 100

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