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APPENDIX A: SENSITIVITY MAPS
Table A.1 Summary of the results of the linear fits of crpoisim dDe7f7g to : Band is the band
used for the fit, cutrad is the source extraction radius (in units of 4 ′′ pixels), LI is the
best fit multiplying constant, N is the number of sources in the fit, χ 2 LI is the χ2 value
of the best linear fit, χ 2 0 is the χ2 of the fit to LI ≡ 1 and P(F) the F-test probability of
allowing LI ̸= 1 and not being a significant improvement to the fit.
Band cutrad LI N χ 2 LI
χ 2 0
P(F)
(pixels)
1 5.12 1.14 284 104.5 185.5 < 10 −6
2 (soft) 5.08 1.10 653 140.1 226.0 < 10 −6
3 5.15 1.14 414 105.7 208.4 < 10 −6
4 (ultrahard) 5.49 1.14 127 25.7 56.2 < 10 −6
5 5.86 1.15 16 1.7 5.5 < 10 −4
9 (XID) 5.04 1.02 722 141.0 145.2 < 10 −5
3-5 (hard) 5.18 0.89 243 176.2 237.8 < 10 −6
the X-ray source positions. The exposure maps for the single bands are PPS
products, whereas for the composite bands were created using the SAS task
;;LF N) is expressed in 4.3.9.
P λ (≥ N) =
∞
∞
λ
∑ P λ (l) = ∑
l e −λ
l!
l=N
l=N
(A.0.2)
If we plot the values ,0-./ of versus crpoisim for the single and composites
bands, it can be seen that there is a linear ,0-.0/
proportionality = LI × crpoisim
for sources with L between 8 and 20 in each band (see Figure A.1). The best fit
values of LI along with the adopted cutrad values are listed in Table A.1. It is
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