Instrument Science Report NICMOS 98-008
Statistics of Accumulating Signal
W.B. Sparks, STScI
May 1998
ABSTRACT
NICMOS detectors accumulate charge which can be read non-destructively. The charge
accumulation is a Poisson process, and readout noise is present. Here, formulae are presented for the variance (i.e., “error”) of two estimators of the underlying rate of accumulation of charge, or “countrate,” subject to these two processes only. The formulae are
tested using Monte-Carlo simulations and are applied to the standard NICMOS MULTIACCUM sequences using the known NICMOS dark properties.
These algorithms are essentially the current one employed by calnica, least-squares fit of
a straight line, and the previous version, weighted mean of first differences. The usual formula for the error on the slope of the least-squares straight line is inapplicable because
data points are not independent of previous data points. Also, the usual formula for the
error on the weighted mean is inappropriate because of the presence of readout noise
(which cancels out to a degree depending on the timing intervals).
The results can be used to infer: (i) the least-squares fit algorithm gives a significantly better estimate of the countrate than the weighted mean of first differences, in the readnoise
dominated regime (ii) the uncertainty goes down approximately linearly with exposure
time in the readnoise dominated regime which suggests longer integrations should be used
where possible (iii) Multiple Initial and Final reads (MIFs) improve the uncertainty by
about 20% in regions of the detector where ampglow is small (cf. other sequences) (iv)
there is little difference otherwise between any of the standard MULTIACCUM sequences.
Tables are provided to allow optimal choice of sequence, and to show the characteristics
of the uncertainties of MULTIACCUM data in various circumstances.These variances
represent fundamental theoretical limits on the utility of the algorithms. Additional noise
sources include cosmic rays and inaccuracies in the shading correction. A fairly high sensitivity to cosmic rays suggest using as many readouts as possible, but the consequent
accumulation of ampglow can add significant noise.
1
1. Model of a MULTIACCUM sequence
In NICMOS detectors charge accumulates in each pixel as incident photons are
detected, and this charge can be read non-destructively. The accumulating charge between
each readout is expected to obey Poisson statistics, and, in addition, associated with each
readout there is electronic “readout noise” that imposes a random error on the measurement of the charge within an individual pixel.
Hence if readouts are at times xi, and the actual accumulated charge is yi, then between
xi–1 and xi the actual additional accumulated charge is yi – yi–1 = pi, where pi is drawn from
a Poisson distribution with expected value b.(xi–1 – xi) and b is the underlying countrate
sought. For example, if the underlying source countrate is 0.1 electrons/sec, and
xi–1 = 256 sec and xi = 384 sec, then the expected value (mean) of the accumulating charge
in that interval is 12.8 electrons. For any particular integration, there will be an actual
value of charge accumulated in that period which is randomly drawn from a Poisson distribution of mean=12.8. Hence, yi = pi + yi–1 = pi + pi–1 + pi–2 ... or in other words yi is a type
of random walk. It should be stressed that once the interval of time has elapsed and pi is
measured, the actual value pi propagates throughout the subsequent series; it is fixed thereafter and no longer contributes a random element.
In addition to the statistical fluctuations associated with the Poisson component of the
accumulating signal in which the actual accumulated charge is the sum of the preceding
Poisson trials, there is an uncertainty associated with the measurement of that charge,
namely the “readout noise.” That uncertainty is assumed to be independent from one measurement to the next. Figure 1 illustrates.
Figure 1: Charge y accumulates during the sequence, and is read at times xi. Actual
charge increments are pi and there is superimposed readout noise.
y
Underlying
countrate
y3
}
Charge
Readout
noise
y2
y1
}p
0
0
}
p3
p2
1
x2
x1
Time
2
x3
x
Here, calculations are presented of the variance of estimators in use, or that have been
used. The work does not attempt to calculate new estimators, nor reveal whether those
used represent minimum variance estimates. Least squares fitting gives better answers than
averaging first differences.
2. Model of a NICMOS MULTIACCUM observation
This simple two component model is sufficiently flexible to capture the important elements of a NICMOS dark, see NICMOS ISR-026 by Skinner and Bergeron. The dark
comprises (i) a time variable shading term, assumed here to be noiseless and known, (ii) a
“linear dark” term which is conventional accumulating dark current, so that the amount of
charge accumulated is proportional to the time since the last reset/read, i.e. the elapsed
exposure time, and (iii) ampglow, in which every individual readout deposits a certain
amount of charge into a pixel. The ampglow is strongly field dependent and varies from
approximately 10–20 electrons/read in the detector centers to ten times that in the corners
of the field of view. The linear dark term is low, and is approx 0.05 electrons/sec. We
assume the values are known and the external countrate corrected accordingly.
In addition to internal dark current, there is external background emission from zodiacal light and thermal emission from the HST optics, depending on wavelength and filter.
For example, in the F160W “minimum background” wide band filter, where NICMOS is
maximally sensitive, the estimated background countrate is approx 0.09 electron/sec.
Finally, there is emission from the source itself. Conversion from countrate to flux
obviously depends on the filter used, whereas the statistics depend on the detection process itself, i.e., the countrate, and can therefore be scaled. For example, a countrate of 0.1
electron/sec using the F160W filter corresponds to 3.17 x 10–7 Jy or H = 23.66.
3. Variance calculations
Least squares fit of straight line
If y i = a + bx i + ε i , the “least squares fit” which minimizes the weighted sum of the
2
squares of the residuals χ =
∑ ( wi ( yi – a – bxi )
2
) is
Σ ⋅ Σxy – ΣxΣy 1
- ≡ --- ( Σ ⋅ Σxy – ΣxΣy )
b = -----------------------------------2
2 ∆
Σ ⋅ Σx – ( Σx )
where Σ denotes the sum of the weights, typically
fit, and Σxy etc. are implicitly ∑ wi x i yi above, and
i
3
1
w i = ------ ,
2
σi
2
or wi = 1 for an unweighted
∆ = Σ ⋅ Σx – ( Σx )
2
.
If the data points {xi,yi} are independent, then the uncertainty of the estimator b is
σb = Σ ⁄ ∆ .
This “textbook” formula is the one used in calnica at the time of writing. Now,
suppose b is the estimator used, given the model above we can calculate the actual variance of b once the equation for it is recast in a form that isolates terms which are
independent of one another. As in Figure 1, ignoring readout noise for now, let
y i = y i – 1 + p i where p i ≡ P ( b∆x i + d∆x i + A )
where d is the linear dark, A the ampglow and ∆xi the time interval between two readouts.
P(a) represents the Poisson distribution of mean a from which pi is drawn. The sums
involved in calculating the slope may be recast in a form which groups together statistically independent terms.
n
∑ yi = y1 + y2 + y3 + . . . + yn = p1 + (p1+p2) + (p1+p2+p3) + ...
i=1
=np1 + (n – 1) p2 + (n – 2) p3 + . . . + pn
More generally, with weighting,
n
n
n
1
2
3
Σw i y i = p 1 ∑ w i + p 2 ∑ w i + p 3 ∑ w i + …
Similarly,
Σ xi yi = x1 y1 + x2 y2 + x3 y3 . . . xn yn
n
= x1 p1 + x2 (p1 + p2) + x3 (p1 + p2 + p3) + . . . + xn ∑ Pi
i=1
n
n
2
3
= p1 (x1 + x2 + . . . xn) + p2 ∑ x i + p3 ∑ x i + . . . + xn pn
and
n
∑
Σw i x i y i =
r=1
n
pr ∑ wi xi
i=r
n
Substituting for Σy and Σxy above and using
∑
i=r
1
b = --∆
n
∑ pr s ⋅ sr – 1 { x – xr – 1 }
r=1
4
n
=∑ –
i=1
r–1
∑
i=1
, we find
n
Where
S =
n
r–1
∑
wi , Sr – 1 =
i=1
∑
∑
wi , x =
i=1
i=1
r–1
n
wi xi ⁄
∑
wi ,
and
xr – 1 =
i=1
∑
r–1
∑ wi .
wi xi ⁄
i=1
i=1
Hence, since pr are independent with variance (b + d) ∆xi + A, the variance of b is
n
2
1
2 2
2
σ = -----2- ∑ s s r – 1 ( x – x r – 1 ) [ b∆x i + d∆x i + A ]
b
∆ r=1
Similarly, if we work with estimates yi’ of the yi which are inaccurate due to the presence of readout noise r, we assume that the additional contribution to
2
σb
2
-------- , as given by
is nr
∆
the “textbook” variance for independent data, which adds in quadrature to give a final formula for the variance of the countrate estimator b
n
2
2
1
2
2
2
nr
σ = -----2- ∑ s ( s r – 1 ) ( x – x r – 1 ) [ b∆x i + d∆x i + A ] + -------∆
b
∆ r=1
For completeness, the variance of the intercept is, by a similar route and neglecting
readout noise, given by:
2
σ =
a
n
∑
r=1
2
sr – 1
 1 + ---------- ( sx ⋅ x r – 1 – sxx )


∆
n
where
sx =
∑
i=1
n
wi xi
and
sxx =
∑ wi xi .
2
i=1
Weighted mean of first differences
By “first differences” we mean the series yi ´ – yi–1´ using the same notation as above.
Each “difference” provides an estimate of the countrate, bi = (yi ´ – yi–1´) / (ti – ti–1). Then
the estimator of the countrate is the weighted mean of the bi. By taking first differences,
the Poisson component is now independent of the history of charge accumulation, and it is
correct to adopt a simple weighting scheme depending on the individual uncertainties of
each difference. During mid-1997, calnica version 2.2 attempted to take advantage of this
fact and utilized a “first differences” approach.
However, in regimes where readout noise is important, this is not the case. To illustrate, suppose the only thing present is readnoise. The source countrate is zero, the dark is
zero, and there is no ampglow. Then the underlying charge accumulated is always zero,
however the measurement of that zero charge follows a Gaussian with standard deviation r
(if r is the readnoise). Hence the set yi ´ is a set of random numbers r x N(0,1) and N(0,1) is
5
the zero mean, unit variance normal distribution. Let the first differences be di = yi ´ – yi–1´,
and the countrate estimates bi = di / dti with dti = ti – ti–1.
On taking the first differences, if terms are independent the formal error on each difference is 2 ⋅ r , and so the uncertainty on the mean would be ( 2 ⋅ r ) ⁄ ( N ) with r the
uncertainty on the measurement as noted above, and N the number of measurements. But
note that when taking the mean of the differences, cancellation occurs in the readout term:
b1´ = (y1´ – y0´) / dt1
b2´ = (y2´ – y1´) / dt2
b3´ = (y3´ – y2´) / dt3
...
bN´ = (yN´ – y(n – 1)´) / dtN
For example, if the dti are all the same equal to unity, the average is
<b´> = Σ(bi ´) / N = (yN´ – y0´) / N, which has an uncertainty only
2 × r ⁄ N compared to
the expected uncertainty on the mean in the case of independence of
2 × r ⁄ N . That is
the uncertainty is less by a factor of 1 ⁄ N than in the case of independent data. The
amount of cancellation depends on the spacing of the readout times, as shown below.
Generally, we can calculate the variance, and incorporate the cancellation into an
effective readnoise as follows:
Let an individual count rate estimate from the first differences be
d
yi ′ – yi – 1 ′
b i = ------i- = ---------------------.
∆t i
∆t i
Then form a weighted mean
di
⁄ w
∑ wi  ----∆t ∑ i
⟨ b⟩ =
=
wi
- ( y′ – y′ i – 1 ) ⁄ Σw i
∑ -----∆t i i
, then
n–1
w1
wn
w
wi + 1 
- r ⁄ Σw i
⟨ b⟩ = -------- y′ n – -------- y′ 0 + ∑  ------i- – ------------ ∆t i ∆t i + 1 i
∆t n
∆t 1
i=1
Consider the case where only readnoise is present, and the uncertainty on each yi´ is
the same, r. Then
2
2
2
n–1
w
w
w
w i + 1  2
2
σ ( ⟨ b⟩ ) = r  -------n2- + -------12- + ∑  ------i- – -------------  ⁄ ( Σw i )


∆t
∆t
 ∆t n ∆t 1 i = 1
i
i+1 
2
6
For readout noise only, and weighting
1
w i = ------ ,
2
σi
2
we have
∆t
w i = -------i2
2r
since the uncertainty on
2
each bi is
2r
-------2
∆t i
if r is the readout noise per read. Then substituting for wi, we obtain
n–1
 2
2
2
∆t 1 + ∆t n + ∑ ( ∆t i – ∆t i + 1 ) 

2

2r 
2
i=1
σ ( ⟨ b⟩ ) = -----------2-  ------------------------------------------------------------------------
2
2 ∑ ∆t i
Σ∆t i 





which can be made equivalent to the representation which would be valid if the data were
2
independent,
2
2r
σ = ------------ ,
2
Σ∆t i
if we define an effective readout noise
1⁄2
n–1
r eff
 2
2
2
 ∆t 1 + ∆t n + ∑ ( ∆t i – ∆t i + 1 ) 


i=1
= r  ------------------------------------------------------------------------
2
2 ∑ ∆t i






For example, if the data are equally spaced as in the example above, ∆t i = ∆t i + 1 = ∆t
and r eff = r ⁄ n .
Finally, therefore, in this scheme, we adopt a total variance that includes the Poisson


 ∆t 2 
1
component σ ( ⟨ b⟩ ) = ------------ where w i =  ------------------- .
2 
 di
∑ wi
- + r eff 
 --g
2
4. Validation of the formulae
Monte Carlo simulations of the MULTIACCUM process were run for the standard
NICMOS MULTIACCUM sequences and for each individual readout within the
sequences. The formulae presented in the previous section give excellent agreement with
the empirically derived distributions from Monte-Carlo simulations, as may be seen in the
tables and figures that follow.
The countrate estimators have expected values equal to the mean countrate so they are
unbiased, and this too is born out in the testing.
7
5. Results
Caveats: The exact numerical details in the tables may differ from real NICMOS
observations because (1) readout noise is assumed per read, not per pair of reads, (2) only
unweighted least squares regression line and a simple weighting were used (3) a zeroth
read is included in the fit. Nevertheless, the qualitative conclusions will remain valid, and
quantitative comparison is likely to reveal only minor differences.
The variance associated with the least-squares straight line estimator of count rate is
substantially lower than for the weighted mean of first differences. The corresponding
standard deviation is about 50% lower for the line fit in the low background readout noise
dominated regime. In a high countrate regime, the two methods are comparable. That is,
least squares fitting is better than first differences.
In the low countrate regime, the uncertainty on the countrate estimate declines linearly
with time, as expected if the S/N has S ∝ t and N ~ constant.
The cluster of final reads in the MIF1024 sequence reduces the uncertainty by about
20% compared to the same sequence just prior to the final cluster of readouts, in the low
ampglow case. In other words, judicious choice of readout timing can make a significant
difference to the performance. In the high ampglow case, the extra reads make little difference, and the overall uncertainty is higher by about a factor two.
The countrate uncertainty in the low countrate (faint object) limit depends primarily on
exposure time and not on the specific sequence chosen.
Example: in Table 1, for a MIF1024 sequence and exposure 1024 sec, the uncertainty
is 0.0275 using a least-squares fit prior to the final readout cluster, and 0.022 after. Hence a
three sigma detection requires a countrate 0.0825 e/sec and 0.066 e/sec respectively, or
2.61x10–7 Jy and 2.09x10–7 Jy for the F160W filter, or H=24.1 and 24.35 respectively.
The NICMOS exposure time calculator gives very similar answers, with S/N=3 for 0.1 e/s
in slightly less than 1000sec.
6. Appendix:
Tables of uncertainties for all the standard NICMOS MULTIACCUM sequences as a
function of readout number follow for various circumstances. Table 1 gives the minimum
background faint object limit near the detector center, i.e. low ampglow, and Table 2 gives
the same table for near the detector corners. Table 3 gives an example run at high source
countrate. External thermal emission is not distinguished from source emission in this
case.
The columns are (1) sequence name (2) readout number (3) old (incorrect) estimate of
uncertainty from least squares fit of straight line (4) empirical estimate of the same quantity from Monte-Carlo simulation (5) revised formula for uncertainty of weighted mean of
8
first differences (6) empirical estimate of the same from Monte-Carlo simulation (7)
revised analytical formula for uncertainty on least squares fit.
THE FINAL COLUMN represents the current best estimate of the uncertainty associated with a particular observation. For Table 1:
Output is sequence, read, texp, els_an,els_emp,ewt_an,ewt_emp
Empirical estimate uses n =
100
Parameters of run:
Source countrate:
Readout noise:
Amp glow:
Linear dark:
0.0880000
30.0000
15.0000
0.0500000
electron/sec
electron/sec
electron/read
electron/sec
For Table 2:
Output is sequence, read, texp, els_an,els_emp,ewt_an,ewt_emp
Empirical estimate uses n =
100
Parameters of run:
Source countrate:
Readout noise:
Amp glow:
Linear dark:
0.0880000
30.0000
150.000
0.0500000
electron/sec
electron/sec
electron/read
electron/sec
For Table 3:
Source has H=19.4, or 16 micro Jy.
Empirical estimate uses n =
100
Parameters of run:
Source countrate:
Readout noise:
Amp glow:
Linear dark:
5.00000
30.0000
15.0000
electron/sec
electron/sec
electron/read
0.0500000
electron/sec
Table 1. Minimum background uncertainty; no source
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
MCAMRR
5
1.5116
23.8643
25.0058
28.5067
27.9717
25.2199
MCAMRR
6
1.8140
19.2578
22.9796
23.8821
28.1567
20.1916
MCAMRR
7
2.1163
15.5997
17.8739
20.5224
26.5162
16.6865
MCAMRR
8
2.4186
13.2298
13.4719
17.9593
18.3746
14.1204
9
Table 1. Minimum background uncertainty; no source (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
MCAMRR
9
2.7210
11.1009
13.2438
16.0267
17.9880
12.2362
MCAMRR
10
3.0233
9.6471
10.4646
14.4435
15.1183
10.7539
MCAMRR
11
3.3256
8.4961
9.1184
13.1587
12.2512
9.5952
MCAMRR
12
3.6279
7.5020
7.8468
12.1024
12.6695
8.6612
MCAMRR
13
3.9303
6.7196
7.2114
11.1944
11.5251
7.8790
MCAMRR
14
4.2326
6.0552
6.2886
10.4166
11.2036
7.2412
MCAMRR
15
4.5349
5.4956
6.3504
9.7330
10.9296
6.6914
MCAMRR
16
4.8372
5.0215
5.5613
9.1409
9.7090
6.2272
MCAMRR
17
5.1396
4.5636
5.4069
8.5968
8.5946
5.8301
MCAMRR
18
5.4419
4.1877
4.7314
8.1406
8.0359
5.4853
MCAMRR
19
5.7442
3.8947
4.6927
7.7290
7.9309
5.1731
MCAMRR
20
6.0466
3.5846
4.4911
7.3669
7.9788
4.9087
MCAMRR
21
6.3489
3.3224
4.1564
7.0110
7.2300
4.6718
MCAMRR
22
6.6512
3.1137
3.8241
6.7117
7.5770
4.4568
MCAMRR
23
6.9535
2.9346
3.7486
6.4049
6.4684
4.2659
MCAMRR
24
7.2559
2.7676
3.7513
6.1717
6.5212
4.0956
MCAMRR
25
7.5582
2.6088
3.8736
5.9203
5.9912
3.9478
MIF1024
5
1.5116
23.8643
25.0058
28.5067
27.9717
25.2199
MIF1024
6
1.8140
19.2578
22.9796
23.8821
28.1567
20.1916
MIF1024
7
2.1163
15.5997
17.8739
20.5224
26.5162
16.6865
MIF1024
8
2.4186
13.2298
13.4719
17.9593
18.3746
14.1204
MIF1024
9
63.9930
0.5077
0.5592
0.6911
0.7814
0.5205
MIF1024
10
127.9902
0.2219
0.2415
0.3417
0.3124
0.2451
MIF1024
11
255.9833
0.1137
0.1037
0.1957
0.2050
0.1237
MIF1024
12
383.9764
0.0692
0.0870
0.1180
0.1133
0.0789
MIF1024
13
511.9694
0.0513
0.0491
0.0848
0.0895
0.0570
MIF1024
14
639.9625
0.0385
0.0416
0.0667
0.0589
0.0449
MIF1024
15
767.9556
0.0292
0.0314
0.0550
0.0511
0.0369
MIF1024
16
895.9487
0.0241
0.0298
0.0469
0.0525
0.0315
MIF1024
17
1023.9418
0.0200
0.0252
0.0410
0.0422
0.0275
MIF1024
18
1024.2441
0.0181
0.0262
0.0409
0.0398
0.0254
10
Table 1. Minimum background uncertainty; no source (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
MIF1024
19
1024.5464
0.0168
0.0230
0.0410
0.0454
0.0243
MIF1024
20
1024.8487
0.0159
0.0216
0.0408
0.0407
0.0234
MIF1024
21
1025.1511
0.0149
0.0233
0.0409
0.0510
0.0229
MIF1024
22
1025.4534
0.0141
0.0245
0.0409
0.0430
0.0225
MIF1024
23
1025.7557
0.0139
0.0210
0.0409
0.0400
0.0223
MIF1024
24
1026.0580
0.0136
0.0204
0.0409
0.0446
0.0221
MIF1024
25
1026.3604
0.0130
0.0225
0.0409
0.0439
0.0220
MIF2048
5
1.5116
23.8643
25.0058
28.5067
27.9717
25.2199
MIF2048
6
1.8140
19.2578
22.9796
23.8821
28.1567
20.1916
MIF2048
7
2.1163
15.5997
17.8739
20.5224
26.5162
16.6865
MIF2048
8
2.4186
13.2298
13.4719
17.9593
18.3746
14.1204
MIF2048
9
127.9889
0.2575
0.2814
0.3402
0.3525
0.2581
MIF2048
10
255.9820
0.1176
0.1322
0.1703
0.1695
0.1228
MIF2048
11
511.9812
0.0567
0.0622
0.0982
0.1033
0.0627
MIF2048
12
767.9804
0.0377
0.0427
0.0598
0.0681
0.0407
MIF2048
13
1023.9797
0.0246
0.0284
0.0433
0.0461
0.0298
MIF2048
14
1279.9789
0.0188
0.0257
0.0341
0.0377
0.0236
MIF2048
15
1535.9781
0.0149
0.0204
0.0283
0.0299
0.0197
MIF2048
16
1791.9773
0.0123
0.0170
0.0243
0.0246
0.0170
MIF2048
17
2047.9766
0.0105
0.0130
0.0213
0.0217
0.0150
MIF2048
18
2048.2789
0.0092
0.0147
0.0213
0.0206
0.0141
MIF2048
19
2048.5812
0.0084
0.0146
0.0213
0.0214
0.0135
MIF2048
20
2048.8836
0.0078
0.0127
0.0213
0.0226
0.0131
MIF2048
21
2049.1859
0.0074
0.0125
0.0213
0.0216
0.0129
MIF2048
22
2049.4882
0.0073
0.0126
0.0213
0.0194
0.0127
MIF2048
23
2049.7905
0.0071
0.0123
0.0213
0.0245
0.0126
MIF2048
24
2050.0929
0.0069
0.0118
0.0213
0.0225
0.0125
MIF2048
25
2050.3952
0.0067
0.0127
0.0213
0.0225
0.0125
MIF3072
5
1.5116
23.8643
25.0058
28.5067
27.9717
25.2199
MIF3072
6
1.8140
19.2578
22.9796
23.8821
28.1567
20.1916
MIF3072
7
2.1163
15.5997
17.8739
20.5224
26.5162
16.6865
11
Table 1. Minimum background uncertainty; no source (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
MIF3072
8
2.4186
13.2298
13.4719
17.9593
18.3746
14.1204
MIF3072
9
127.9889
0.2575
0.2814
0.3402
0.3525
0.2581
MIF3072
10
255.9820
0.1176
0.1322
0.1703
0.1695
0.1228
MIF3072
11
639.9802
0.0451
0.0517
0.0820
0.0858
0.0519
MIF3072
12
1023.9784
0.0278
0.0304
0.0460
0.0448
0.0315
MIF3072
13
1407.9766
0.0183
0.0234
0.0323
0.0298
0.0225
MIF3072
14
1791.9748
0.0140
0.0182
0.0251
0.0228
0.0176
MIF3072
15
2175.9730
0.0106
0.0138
0.0207
0.0186
0.0147
MIF3072
16
2559.9712
0.0087
0.0132
0.0177
0.0175
0.0127
MIF3072
17
3071.9684
0.0070
0.0109
0.0170
0.0142
0.0110
MIF3072
18
3072.2707
0.0062
0.0093
0.0170
0.0156
0.0103
MIF3072
19
3072.5730
0.0059
0.0100
0.0170
0.0163
0.0099
MIF3072
20
3072.8754
0.0053
0.0090
0.0170
0.0173
0.0096
MIF3072
21
3073.1777
0.0051
0.0100
0.0170
0.0168
0.0094
MIF3072
22
3073.4800
0.0050
0.0088
0.0170
0.0185
0.0093
MIF3072
23
3073.7823
0.0047
0.0093
0.0170
0.0168
0.0093
MIF3072
24
3074.0847
0.0046
0.0092
0.0170
0.0165
0.0092
MIF3072
25
3074.3870
0.0045
0.0093
0.0170
0.0176
0.0092
MIF512
5
1.5116
23.8643
25.0058
28.5067
27.9717
25.2199
MIF512
6
1.8140
19.2578
22.9796
23.8821
28.1567
20.1916
MIF512
7
2.1163
15.5997
17.8739
20.5224
26.5162
16.6865
MIF512
8
2.4186
13.2298
13.4719
17.9593
18.3746
14.1204
MIF512
9
31.9879
0.9933
1.1105
1.4352
1.3700
1.0611
MIF512
10
63.9871
0.4685
0.5302
0.6929
0.7207
0.4953
MIF512
11
127.9843
0.2255
0.2553
0.3914
0.3819
0.2476
MIF512
12
191.9815
0.1427
0.1713
0.2344
0.2459
0.1562
MIF512
13
255.9786
0.0995
0.1102
0.1679
0.1718
0.1124
MIF512
14
319.9758
0.0758
0.0838
0.1314
0.1168
0.0872
MIF512
15
383.9730
0.0607
0.0732
0.1078
0.1004
0.0710
MIF512
16
447.9702
0.0497
0.0606
0.0918
0.0858
0.0602
MIF512
17
511.9674
0.0407
0.0542
0.0799
0.0794
0.0523
12
Table 1. Minimum background uncertainty; no source (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
MIF512
18
512.2697
0.0372
0.0445
0.0798
0.0766
0.0480
MIF512
19
512.5720
0.0346
0.0413
0.0796
0.0795
0.0454
MIF512
20
512.8743
0.0316
0.0438
0.0796
0.0782
0.0439
MIF512
21
513.1767
0.0307
0.0413
0.0796
0.0892
0.0428
MIF512
22
513.4790
0.0285
0.0430
0.0798
0.0790
0.0420
MIF512
23
513.7813
0.0281
0.0427
0.0797
0.0808
0.0416
MIF512
24
514.0836
0.0270
0.0392
0.0795
0.0800
0.0411
MIF512
25
514.3860
0.0261
0.0399
0.0796
0.0866
0.0408
SCAMRR
5
1.0150
35.5299
37.5637
42.4649
41.1513
37.5688
SCAMRR
6
1.2180
28.8540
33.2283
35.5759
41.5112
30.0638
SCAMRR
7
1.4210
23.2513
26.7798
30.5769
39.4040
24.8619
SCAMRR
8
1.6240
19.6624
20.3513
26.7506
27.1607
21.0262
SCAMRR
9
1.8270
16.5426
19.5679
23.8631
25.5942
18.2232
SCAMRR
10
2.0300
14.3859
15.6040
21.5127
22.4239
16.0164
SCAMRR
11
2.2330
12.6793
13.5172
19.5992
18.1764
14.2872
SCAMRR
12
2.4360
11.1566
11.6316
18.0262
18.6913
12.8978
SCAMRR
13
2.6390
10.0072
10.6676
16.6715
17.3404
11.7334
SCAMRR
14
2.8420
9.0000
9.3749
15.5174
16.3860
10.7837
SCAMRR
15
3.0450
8.1792
9.3620
14.4979
16.2808
9.9636
SCAMRR
16
3.2480
7.4726
8.3253
13.6139
14.2272
9.2757
SCAMRR
17
3.4510
6.8074
8.0471
12.8063
12.7877
8.6807
SCAMRR
18
3.6540
6.2411
6.9931
12.1249
11.9827
8.1684
SCAMRR
19
3.8570
5.8076
6.9105
11.5129
11.7062
7.7045
SCAMRR
20
4.0600
5.3509
6.6837
10.9756
11.7763
7.3116
SCAMRR
21
4.2630
4.9616
6.1870
10.4402
10.6698
6.9575
SCAMRR
22
4.4660
4.6420
5.7727
9.9932
11.6008
6.6377
SCAMRR
23
4.6690
4.3619
5.6821
9.5458
10.3087
6.3542
SCAMRR
24
4.8720
4.1140
5.5402
9.1971
9.5263
6.0997
SCAMRR
25
5.0750
3.8768
5.9579
8.8100
9.1325
5.8764
SPARS256
5
767.9930
0.0394
0.0449
0.0574
0.0551
0.0448
SPARS256
6
1023.9923
0.0297
0.0317
0.0436
0.0445
0.0331
13
Table 1. Minimum background uncertainty; no source (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
SPARS256
7
1279.9915
0.0227
0.0241
0.0352
0.0346
0.0262
SPARS256
8
1535.9907
0.0178
0.0183
0.0297
0.0307
0.0218
SPARS256
9
1791.9899
0.0145
0.0165
0.0257
0.0234
0.0187
SPARS256
10
2047.9892
0.0128
0.0178
0.0227
0.0262
0.0164
SPARS256
11
2303.9884
0.0105
0.0172
0.0204
0.0205
0.0147
SPARS256
12
2559.9876
0.0094
0.0133
0.0185
0.0200
0.0134
SPARS256
13
2815.9868
0.0083
0.0124
0.0170
0.0170
0.0124
SPARS256
14
3071.9861
0.0078
0.0115
0.0157
0.0146
0.0115
SPARS256
15
3327.9853
0.0067
0.0111
0.0147
0.0141
0.0108
SPARS256
16
3583.9845
0.0060
0.0098
0.0137
0.0133
0.0101
SPARS256
17
3839.9837
0.0058
0.0092
0.0129
0.0139
0.0096
SPARS256
18
4095.9830
0.0052
0.0081
0.0122
0.0126
0.0091
SPARS256
19
4351.9822
0.0048
0.0089
0.0116
0.0109
0.0087
SPARS256
20
4607.9814
0.0044
0.0087
0.0110
0.0127
0.0084
SPARS256
21
4863.9806
0.0042
0.0075
0.0105
0.0114
0.0080
SPARS256
22
5119.9799
0.0039
0.0078
0.0101
0.0103
0.0077
SPARS256
23
5375.9791
0.0037
0.0076
0.0097
0.0094
0.0075
SPARS256
24
5631.9783
0.0035
0.0070
0.0093
0.0095
0.0073
SPARS256
25
5887.9775
0.0033
0.0067
0.0089
0.0090
0.0070
SPARS64
5
191.9869
0.1585
0.2018
0.2254
0.2617
0.1732
SPARS64
6
255.9841
0.1181
0.1407
0.1690
0.1661
0.1253
SPARS64
7
319.9813
0.0867
0.0890
0.1360
0.1235
0.0975
SPARS64
8
383.9784
0.0696
0.0729
0.1139
0.1175
0.0797
SPARS64
9
447.9756
0.0581
0.0619
0.0979
0.0975
0.0672
SPARS64
10
511.9728
0.0506
0.0522
0.0860
0.0870
0.0581
SPARS64
11
575.9700
0.0446
0.0487
0.0770
0.0835
0.0514
SPARS64
12
639.9671
0.0370
0.0432
0.0698
0.0713
0.0462
SPARS64
13
703.9643
0.0337
0.0361
0.0635
0.0696
0.0419
SPARS64
14
767.9615
0.0293
0.0405
0.0584
0.0557
0.0383
SPARS64
15
831.9587
0.0272
0.0360
0.0541
0.0598
0.0355
SPARS64
16
895.9558
0.0247
0.0301
0.0504
0.0498
0.0330
14
Table 1. Minimum background uncertainty; no source (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
SPARS64
17
959.9530
0.0227
0.0284
0.0472
0.0526
0.0310
SPARS64
18
1023.9502
0.0209
0.0254
0.0444
0.0464
0.0292
SPARS64
19
1087.9474
0.0187
0.0283
0.0419
0.0449
0.0276
SPARS64
20
1151.9445
0.0177
0.0282
0.0398
0.0413
0.0263
SPARS64
21
1215.9417
0.0164
0.0259
0.0378
0.0363
0.0251
SPARS64
22
1279.9389
0.0152
0.0232
0.0360
0.0373
0.0240
SPARS64
23
1343.9361
0.0144
0.0239
0.0344
0.0356
0.0231
SPARS64
24
1407.9332
0.0132
0.0214
0.0330
0.0336
0.0222
SPARS64
25
1471.9304
0.0125
0.0189
0.0317
0.0278
0.0214
STEP1
5
2.9882
11.4805
14.0624
15.7885
17.0324
12.2786
STEP1
6
3.9859
8.5111
8.7712
11.1308
11.1848
8.6353
STEP1
7
4.9835
6.2441
6.4884
8.5717
9.0398
6.5581
STEP1
8
5.9811
5.0205
5.1499
6.9764
7.1908
5.2507
STEP1
9
6.9787
4.0450
4.2769
5.9057
6.4867
4.3656
STEP1
10
7.9764
3.2884
3.6860
5.1179
5.7295
3.7288
STEP1
11
8.9740
2.8166
3.1325
4.5207
4.5100
3.2520
STEP1
12
9.9716
2.5087
2.8503
4.0475
3.9113
2.8806
STEP1
13
10.9692
2.1946
2.4273
3.6644
3.7140
2.5877
STEP1
14
11.9669
1.9454
2.0679
3.3470
3.4024
2.3498
STEP1
15
12.9645
1.7605
2.1704
3.0804
3.1670
2.1512
STEP1
16
13.9621
1.5704
1.8134
2.8664
2.9961
1.9853
STEP1
17
14.9597
1.4618
1.7954
2.6628
3.0317
1.8484
STEP1
18
15.9574
1.3154
1.6624
2.5036
2.4317
1.7276
STEP1
19
16.9550
1.2240
1.6038
2.3469
2.3941
1.6243
STEP1
20
17.9526
1.1141
1.5359
2.2205
2.2244
1.5371
STEP1
21
18.9502
1.0280
1.3911
2.1013
2.2897
1.4557
STEP1
22
19.9479
0.9833
1.2881
1.9964
2.1929
1.3865
STEP1
23
20.9455
0.9005
1.2174
1.8999
1.8650
1.3238
STEP1
24
21.9431
0.8439
1.1875
1.8116
1.9239
1.2672
STEP1
25
22.9407
0.8042
1.0309
1.7315
1.5935
1.2157
STEP128
5
3.9846
8.7978
10.8038
13.2688
14.0003
9.3700
15
Table 1. Minimum background uncertainty; no source (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
STEP128
6
7.9784
4.1272
4.5065
6.5949
6.0530
4.4541
STEP128
7
15.9720
1.9204
2.2554
3.2808
2.9552
2.1444
STEP128
8
31.9651
0.9941
0.9860
1.6360
1.7167
1.0443
STEP128
9
63.9643
0.4879
0.4782
0.8197
0.8467
0.5142
STEP128
10
127.9615
0.2389
0.2738
0.4104
0.4322
0.2549
STEP128
11
255.9546
0.1169
0.1217
0.2066
0.1906
0.1273
STEP128
12
383.9477
0.0718
0.0885
0.1190
0.1304
0.0803
STEP128
13
511.9408
0.0495
0.0521
0.0842
0.0792
0.0578
STEP128
14
639.9338
0.0366
0.0458
0.0655
0.0617
0.0452
STEP128
15
767.9269
0.0300
0.0359
0.0540
0.0565
0.0372
STEP128
16
895.9200
0.0248
0.0282
0.0458
0.0441
0.0317
STEP128
17
1023.9131
0.0211
0.0277
0.0399
0.0435
0.0277
STEP128
18
1151.9062
0.0177
0.0235
0.0354
0.0345
0.0247
STEP128
19
1279.8992
0.0157
0.0205
0.0318
0.0281
0.0223
STEP128
20
1407.8923
0.0136
0.0190
0.0290
0.0304
0.0204
STEP128
21
1535.8854
0.0118
0.0168
0.0267
0.0267
0.0189
STEP128
22
1663.8785
0.0111
0.0181
0.0247
0.0248
0.0177
STEP128
23
1791.8716
0.0100
0.0167
0.0229
0.0206
0.0165
STEP128
24
1919.8646
0.0094
0.0147
0.0215
0.0223
0.0157
STEP128
25
2047.8577
0.0085
0.0149
0.0202
0.0232
0.0149
STEP16
5
3.9846
8.7978
10.8038
13.2688
14.0003
9.3700
STEP16
6
7.9784
4.1272
4.5065
6.5949
6.0530
4.4541
STEP16
7
15.9720
1.9204
2.2554
3.2808
2.9552
2.1444
STEP16
8
31.9651
0.9941
0.9860
1.6360
1.7167
1.0443
STEP16
9
47.9582
0.6099
0.7038
0.9425
0.9628
0.6524
STEP16
10
63.9513
0.4278
0.4505
0.6628
0.6544
0.4630
STEP16
11
79.9444
0.3197
0.3432
0.5133
0.5005
0.3557
STEP16
12
95.9374
0.2476
0.2562
0.4180
0.3914
0.2872
STEP16
13
111.9305
0.2076
0.2415
0.3538
0.3453
0.2409
STEP16
14
127.9236
0.1762
0.2192
0.3075
0.3460
0.2076
STEP16
15
143.9167
0.1514
0.1874
0.2710
0.3069
0.1821
16
Table 1. Minimum background uncertainty; no source (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
STEP16
16
159.9098
0.1306
0.1714
0.2426
0.2751
0.1626
STEP16
17
175.9028
0.1158
0.1652
0.2203
0.2707
0.1477
STEP16
18
191.8959
0.1037
0.1328
0.2011
0.2134
0.1346
STEP16
19
207.8890
0.0937
0.1273
0.1854
0.1983
0.1243
STEP16
20
223.8821
0.0863
0.1227
0.1725
0.1700
0.1154
STEP16
21
239.8752
0.0784
0.1077
0.1603
0.1538
0.1079
STEP16
22
255.8682
0.0714
0.0929
0.1508
0.1591
0.1015
STEP16
23
271.8613
0.0679
0.0872
0.1412
0.1518
0.0961
STEP16
24
287.8544
0.0627
0.0825
0.1337
0.1456
0.0911
STEP16
25
303.8475
0.0583
0.0750
0.1264
0.1165
0.0869
STEP2
5
3.9846
8.7978
10.8038
13.2688
14.0003
9.3700
STEP2
6
5.9786
5.6690
6.2578
7.6380
7.7076
5.7639
STEP2
7
7.9726
3.8650
4.2015
5.3642
5.8153
4.0555
STEP2
8
9.9665
2.9335
3.3699
4.1455
4.5818
3.1026
STEP2
9
11.9605
2.2671
2.1786
3.3821
3.0137
2.4914
STEP2
10
13.9545
1.7993
2.0394
2.8601
2.9205
2.0787
STEP2
11
15.9485
1.5547
1.8364
2.4748
2.6510
1.7799
STEP2
12
17.9424
1.3402
1.7416
2.1865
2.1592
1.5580
STEP2
13
19.9364
1.1811
1.3247
1.9568
1.9332
1.3818
STEP2
14
21.9304
1.0568
1.2120
1.7697
1.7893
1.2412
STEP2
15
23.9244
0.9161
1.2456
1.6235
1.5072
1.1337
STEP2
16
25.9183
0.8364
0.9857
1.4928
1.4912
1.0391
STEP2
17
27.9123
0.7523
1.0642
1.3859
1.4756
0.9617
STEP2
18
29.9063
0.6805
0.8819
1.2934
1.3870
0.8967
STEP2
19
31.9003
0.6240
0.8875
1.2089
1.2872
0.8402
STEP2
20
33.8942
0.5800
0.7704
1.1388
1.1210
0.7905
STEP2
21
35.8882
0.5288
0.7741
1.0742
1.1998
0.7477
STEP2
22
37.8822
0.4984
0.6793
1.0173
0.9873
0.7100
STEP2
23
39.8762
0.4650
0.6681
0.9640
0.9536
0.6776
STEP2
24
41.8701
0.4424
0.6716
0.9170
0.9554
0.6473
STEP2
25
43.8641
0.4092
0.5673
0.8761
0.9065
0.6201
17
Table 1. Minimum background uncertainty; no source (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
STEP256
5
3.9846
8.7978
10.8038
13.2688
14.0003
9.3700
STEP256
6
7.9784
4.1272
4.5065
6.5949
6.0530
4.4541
STEP256
7
15.9720
1.9204
2.2554
3.2808
2.9552
2.1444
STEP256
8
31.9651
0.9941
0.9860
1.6360
1.7167
1.0443
STEP256
9
63.9643
0.4879
0.4782
0.8197
0.8467
0.5142
STEP256
10
127.9615
0.2389
0.2738
0.4104
0.4322
0.2549
STEP256
11
255.9546
0.1169
0.1217
0.2066
0.1906
0.1273
STEP256
12
511.9538
0.0575
0.0670
0.1040
0.0994
0.0642
STEP256
13
767.9530
0.0358
0.0472
0.0605
0.0603
0.0412
STEP256
14
1023.9523
0.0251
0.0329
0.0430
0.0475
0.0301
STEP256
15
1279.9515
0.0188
0.0255
0.0336
0.0363
0.0238
STEP256
16
1535.9507
0.0148
0.0188
0.0277
0.0282
0.0198
STEP256
17
1791.9499
0.0122
0.0167
0.0237
0.0225
0.0171
STEP256
18
2047.9492
0.0103
0.0162
0.0208
0.0208
0.0151
STEP256
19
2303.9484
0.0086
0.0149
0.0186
0.0187
0.0136
STEP256
20
2559.9476
0.0077
0.0127
0.0167
0.0178
0.0124
STEP256
21
2815.9468
0.0070
0.0111
0.0153
0.0154
0.0115
STEP256
22
3071.9461
0.0061
0.0104
0.0141
0.0154
0.0107
STEP256
23
3327.9453
0.0056
0.0101
0.0131
0.0132
0.0101
STEP256
24
3583.9445
0.0050
0.0090
0.0123
0.0117
0.0095
STEP256
25
3839.9437
0.0046
0.0087
0.0116
0.0121
0.0090
STEP32
5
3.9846
8.7978
10.8038
13.2688
14.0003
9.3700
STEP32
6
7.9784
4.1272
4.5065
6.5949
6.0530
4.4541
STEP32
7
15.9720
1.9204
2.2554
3.2808
2.9552
2.1444
STEP32
8
31.9651
0.9941
0.9860
1.6360
1.7167
1.0443
STEP32
9
63.9643
0.4879
0.4782
0.8197
0.8467
0.5142
STEP32
10
95.9636
0.2933
0.3156
0.4722
0.4692
0.3219
STEP32
11
127.9628
0.2027
0.2000
0.3325
0.3390
0.2288
STEP32
12
159.9620
0.1535
0.1482
0.2573
0.2453
0.1761
STEP32
13
191.9612
0.1251
0.1427
0.2105
0.2055
0.1430
STEP32
14
223.9605
0.0981
0.1315
0.1778
0.2044
0.1199
18
Table 1. Minimum background uncertainty; no source (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
STEP32
15
255.9597
0.0882
0.1022
0.1538
0.1728
0.1035
STEP32
16
287.9589
0.0736
0.0927
0.1363
0.1459
0.0914
STEP32
17
319.9581
0.0654
0.0845
0.1220
0.1281
0.0816
STEP32
18
351.9574
0.0579
0.0663
0.1108
0.1073
0.0741
STEP32
19
383.9566
0.0509
0.0638
0.1014
0.1027
0.0680
STEP32
20
415.9558
0.0469
0.0590
0.0935
0.1015
0.0629
STEP32
21
447.9550
0.0415
0.0609
0.0866
0.0977
0.0583
STEP32
22
479.9543
0.0382
0.0590
0.0809
0.0973
0.0547
STEP32
23
511.9535
0.0361
0.0518
0.0761
0.0804
0.0519
STEP32
24
543.9527
0.0333
0.0515
0.0715
0.0794
0.0491
STEP32
25
575.9519
0.0303
0.0461
0.0679
0.0664
0.0466
STEP64
5
3.9846
8.7978
10.8038
13.2688
14.0003
9.3700
STEP64
6
7.9784
4.1272
4.5065
6.5949
6.0530
4.4541
STEP64
7
15.9720
1.9204
2.2554
3.2808
2.9552
2.1444
STEP64
8
31.9651
0.9941
0.9860
1.6360
1.7167
1.0443
STEP64
9
63.9643
0.4879
0.4782
0.8197
0.8467
0.5142
STEP64
10
127.9615
0.2389
0.2738
0.4104
0.4322
0.2549
STEP64
11
191.9587
0.1469
0.1764
0.2364
0.2416
0.1599
STEP64
12
255.9559
0.1022
0.1021
0.1670
0.1729
0.1142
STEP64
13
319.9530
0.0748
0.0899
0.1296
0.1290
0.0886
STEP64
14
383.9502
0.0608
0.0706
0.1062
0.1018
0.0723
STEP64
15
447.9474
0.0491
0.0604
0.0898
0.0819
0.0609
STEP64
16
511.9446
0.0417
0.0461
0.0780
0.0744
0.0528
STEP64
17
575.9418
0.0380
0.0447
0.0689
0.0647
0.0468
STEP64
18
639.9389
0.0306
0.0384
0.0622
0.0677
0.0421
STEP64
19
703.9361
0.0280
0.0322
0.0563
0.0526
0.0383
STEP64
20
767.9333
0.0246
0.0339
0.0517
0.0497
0.0353
STEP64
21
831.9305
0.0228
0.0341
0.0477
0.0530
0.0327
STEP64
22
895.9276
0.0206
0.0277
0.0443
0.0433
0.0306
STEP64
23
959.9248
0.0188
0.0302
0.0414
0.0443
0.0288
STEP64
24
1023.9220
0.0173
0.0269
0.0388
0.0416
0.0272
19
Table 1. Minimum background uncertainty; no source (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
STEP64
25
1087.9192
0.0158
0.0250
0.0367
0.0367
0.0259
STEP8
5
3.9846
8.7978
10.8038
13.2688
14.0003
9.3700
STEP8
6
7.9784
4.1272
4.5065
6.5949
6.0530
4.4541
STEP8
7
15.9720
1.9204
2.2554
3.2808
2.9552
2.1444
STEP8
8
23.9656
1.2530
1.3447
1.8845
1.8617
1.3302
STEP8
9
31.9592
0.8597
0.9450
1.3244
1.4206
0.9429
STEP8
10
39.9528
0.6722
0.7888
1.0258
1.3105
0.7237
STEP8
11
47.9464
0.5289
0.6004
0.8358
0.8594
0.5846
STEP8
12
55.9400
0.4496
0.5814
0.7056
0.8290
0.4895
STEP8
13
63.9336
0.3610
0.4225
0.6126
0.6604
0.4200
STEP8
14
71.9272
0.3262
0.3208
0.5393
0.5691
0.3679
STEP8
15
79.9208
0.2730
0.3448
0.4856
0.4987
0.3287
STEP8
16
87.9144
0.2435
0.2897
0.4388
0.4451
0.2967
STEP8
17
95.9080
0.2110
0.2824
0.4020
0.4288
0.2715
STEP8
18
103.9016
0.1952
0.2712
0.3690
0.4312
0.2491
STEP8
19
111.8951
0.1711
0.2149
0.3434
0.3760
0.2311
STEP8
20
119.8887
0.1603
0.2257
0.3194
0.3118
0.2164
STEP8
21
127.8823
0.1510
0.2015
0.2987
0.3096
0.2029
STEP8
22
135.8759
0.1367
0.2088
0.2817
0.2995
0.1922
STEP8
23
143.8695
0.1289
0.1985
0.2658
0.3123
0.1820
STEP8
24
151.8631
0.1178
0.1726
0.2516
0.2650
0.1730
STEP8
25
159.8567
0.1116
0.1592
0.2380
0.2495
0.1649
Table 2. Minimum background uncertainty; no source; high ampglow
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
MCAMRR
5
1.5116
24.6152
30.0277
33.3051
36.5845
34.4904
MCAMRR
6
1.8140
19.0963
25.5626
28.5872
28.9847
28.8891
MCAMRR
7
2.1163
15.8637
25.1893
25.1189
28.6854
24.9865
MCAMRR
8
2.4186
13.1977
21.4848
22.5884
26.0344
22.1745
20
Table 2. Minimum background uncertainty; no source; high ampglow (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
MCAMRR
9
2.7210
11.4132
18.7213
20.5613
20.5231
20.0097
MCAMRR
10
3.0233
10.0151
19.0039
18.9287
20.4210
18.3407
MCAMRR
11
3.3256
8.7911
17.9016
17.5690
19.1804
16.9856
MCAMRR
12
3.6279
7.9397
14.4452
16.4563
15.2038
15.8652
MCAMRR
13
3.9303
7.1112
13.3009
15.4856
14.7303
14.9256
MCAMRR
14
4.2326
6.3576
14.8211
14.6868
14.9831
14.1476
MCAMRR
15
4.5349
5.8363
13.9544
13.9547
14.3954
13.4675
MCAMRR
16
4.8372
5.4002
12.7533
13.3160
14.8241
12.8704
MCAMRR
17
5.1396
4.9669
13.1723
12.7569
14.2612
12.3549
MCAMRR
18
5.4419
4.6916
11.3646
12.2449
13.1608
11.8768
MCAMRR
19
5.7442
4.3284
11.7776
11.7916
13.0971
11.4584
MCAMRR
20
6.0466
3.9750
11.0319
11.3797
11.5782
11.0853
MCAMRR
21
6.3489
3.7650
11.9776
11.0067
12.2565
10.7442
MCAMRR
22
6.6512
3.5397
9.7668
10.6635
10.7227
10.4310
MCAMRR
23
6.9535
3.3294
10.7332
10.3406
11.3649
10.1463
MCAMRR
24
7.2559
3.1822
10.3154
10.0528
10.2840
9.8831
MCAMRR
25
7.5582
2.9638
9.7875
9.7787
10.6816
9.6445
MIF1024
5
1.5116
24.6152
30.0277
33.3051
36.5845
34.4904
MIF1024
6
1.8140
19.0963
25.5626
28.5872
28.9847
28.8891
MIF1024
7
2.1163
15.8637
25.1893
25.1189
28.6854
24.9865
MIF1024
8
2.4186
13.1977
21.4848
22.5884
26.0344
22.1745
MIF1024
9
63.9930
0.5550
0.6827
0.7169
0.7765
0.6254
MIF1024
10
127.9902
0.2619
0.3633
0.3654
0.3875
0.3232
MIF1024
11
255.9833
0.1295
0.1996
0.2088
0.2146
0.1723
MIF1024
12
383.9764
0.0791
0.1199
0.1313
0.1239
0.1164
MIF1024
13
511.9694
0.0558
0.0868
0.0979
0.0948
0.0887
MIF1024
14
639.9625
0.0423
0.0807
0.0794
0.0815
0.0726
MIF1024
15
767.9556
0.0335
0.0699
0.0672
0.0675
0.0619
MIF1024
16
895.9487
0.0278
0.0580
0.0590
0.0662
0.0546
MIF1024
17
1023.9418
0.0232
0.0589
0.0529
0.0604
0.0491
MIF1024
18
1024.2441
0.0209
0.0505
0.0528
0.0649
0.0467
21
Table 2. Minimum background uncertainty; no source; high ampglow (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
MIF1024
19
1024.5464
0.0192
0.0523
0.0528
0.0632
0.0455
MIF1024
20
1024.8487
0.0178
0.0485
0.0527
0.0486
0.0451
MIF1024
21
1025.1511
0.0170
0.0542
0.0527
0.0587
0.0449
MIF1024
22
1025.4534
0.0164
0.0452
0.0528
0.0552
0.0451
MIF1024
23
1025.7557
0.0159
0.0505
0.0528
0.0548
0.0453
MIF1024
24
1026.0580
0.0155
0.0510
0.0527
0.0591
0.0456
MIF1024
25
1026.3604
0.0150
0.0487
0.0528
0.0556
0.0461
MIF2048
5
1.5116
24.6152
30.0277
33.3051
36.5845
34.4904
MIF2048
6
1.8140
19.0963
25.5626
28.5872
28.9847
28.8891
MIF2048
7
2.1163
15.8637
25.1893
25.1189
28.6854
24.9865
MIF2048
8
2.4186
13.1977
21.4848
22.5884
26.0344
22.1745
MIF2048
9
127.9889
0.2753
0.3372
0.3528
0.3824
0.3081
MIF2048
10
255.9820
0.1304
0.1808
0.1819
0.1931
0.1608
MIF2048
11
511.9812
0.0646
0.1000
0.1048
0.1075
0.0865
MIF2048
12
767.9804
0.0395
0.0607
0.0663
0.0622
0.0588
MIF2048
13
1023.9797
0.0279
0.0439
0.0497
0.0479
0.0451
MIF2048
14
1279.9789
0.0212
0.0411
0.0404
0.0415
0.0370
MIF2048
15
1535.9781
0.0168
0.0357
0.0343
0.0344
0.0317
MIF2048
16
1791.9773
0.0139
0.0298
0.0302
0.0340
0.0280
MIF2048
17
2047.9766
0.0116
0.0303
0.0271
0.0309
0.0253
MIF2048
18
2048.2789
0.0105
0.0261
0.0271
0.0333
0.0241
MIF2048
19
2048.5812
0.0096
0.0269
0.0271
0.0323
0.0235
MIF2048
20
2048.8836
0.0089
0.0250
0.0270
0.0250
0.0233
MIF2048
21
2049.1859
0.0085
0.0279
0.0270
0.0300
0.0232
MIF2048
22
2049.4882
0.0082
0.0234
0.0271
0.0284
0.0233
MIF2048
23
2049.7905
0.0080
0.0261
0.0271
0.0280
0.0234
MIF2048
24
2050.0929
0.0078
0.0262
0.0270
0.0302
0.0235
MIF2048
25
2050.3952
0.0075
0.0250
0.0271
0.0284
0.0238
MIF3072
5
1.5116
24.6152
30.0277
33.3051
36.5845
34.4904
MIF3072
6
1.8140
19.0963
25.5626
28.5872
28.9847
28.8891
MIF3072
7
2.1163
15.8637
25.1893
25.1189
28.6854
24.9865
22
Table 2. Minimum background uncertainty; no source; high ampglow (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
MIF3072
8
2.4186
13.1977
21.4848
22.5884
26.0344
22.1745
MIF3072
9
127.9889
0.2753
0.3372
0.3528
0.3824
0.3081
MIF3072
10
255.9820
0.1304
0.1808
0.1819
0.1931
0.1608
MIF3072
11
639.9802
0.0537
0.0809
0.0862
0.0893
0.0702
MIF3072
12
1023.9784
0.0306
0.0458
0.0503
0.0490
0.0446
MIF3072
13
1407.9766
0.0207
0.0323
0.0365
0.0348
0.0332
MIF3072
14
1791.9748
0.0154
0.0297
0.0292
0.0295
0.0268
MIF3072
15
2175.9730
0.0120
0.0254
0.0246
0.0245
0.0228
MIF3072
16
2559.9712
0.0099
0.0213
0.0215
0.0235
0.0200
MIF3072
17
3071.9684
0.0081
0.0212
0.0201
0.0231
0.0176
MIF3072
18
3072.2707
0.0072
0.0181
0.0201
0.0233
0.0167
MIF3072
19
3072.5730
0.0065
0.0186
0.0201
0.0238
0.0162
MIF3072
20
3072.8754
0.0060
0.0171
0.0201
0.0176
0.0160
MIF3072
21
3073.1777
0.0058
0.0191
0.0201
0.0216
0.0159
MIF3072
22
3073.4800
0.0055
0.0160
0.0201
0.0208
0.0160
MIF3072
23
3073.7823
0.0053
0.0179
0.0201
0.0211
0.0160
MIF3072
24
3074.0847
0.0052
0.0179
0.0201
0.0222
0.0161
MIF3072
25
3074.3870
0.0050
0.0170
0.0201
0.0208
0.0163
MIF512
5
1.5116
24.6152
30.0277
33.3051
36.5845
34.4904
MIF512
6
1.8140
19.0963
25.5626
28.5872
28.9847
28.8891
MIF512
7
2.1163
15.8637
25.1893
25.1189
28.6854
24.9865
MIF512
8
2.4186
13.1977
21.4848
22.5884
26.0344
22.1745
MIF512
9
31.9879
1.1269
1.4053
1.4867
1.6097
1.2917
MIF512
10
63.9871
0.5287
0.7390
0.7423
0.7851
0.6567
MIF512
11
127.9843
0.2602
0.4017
0.4185
0.4313
0.3465
MIF512
12
191.9815
0.1588
0.2391
0.2616
0.2482
0.2327
MIF512
13
255.9786
0.1118
0.1729
0.1943
0.1887
0.1766
MIF512
14
319.9758
0.0847
0.1602
0.1571
0.1615
0.1441
MIF512
15
383.9730
0.0671
0.1385
0.1329
0.1335
0.1227
MIF512
16
447.9702
0.0557
0.1144
0.1166
0.1300
0.1079
MIF512
17
511.9674
0.0464
0.1160
0.1043
0.1194
0.0969
23
Table 2. Minimum background uncertainty; no source; high ampglow (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
MIF512
18
512.2697
0.0419
0.0993
0.1040
0.1273
0.0920
MIF512
19
512.5720
0.0383
0.1030
0.1040
0.1250
0.0897
MIF512
20
512.8743
0.0355
0.0955
0.1039
0.0956
0.0887
MIF512
21
513.1767
0.0340
0.1067
0.1039
0.1158
0.0884
MIF512
22
513.4790
0.0327
0.0889
0.1040
0.1089
0.0887
MIF512
23
513.7813
0.0318
0.0995
0.1040
0.1080
0.0891
MIF512
24
514.0836
0.0310
0.1003
0.1038
0.1170
0.0898
MIF512
25
514.3860
0.0300
0.0961
0.1041
0.1100
0.0907
SCAMRR
5
1.0150
36.6593
44.7196
49.6006
54.4847
51.3660
SCAMRR
6
1.2180
28.4401
38.0696
42.5742
43.1662
43.0240
SCAMRR
7
1.4210
23.6258
37.5136
37.4089
42.7203
37.2119
SCAMRR
8
1.6240
19.6552
31.9965
33.6403
38.7723
33.0240
SCAMRR
9
1.8270
16.9976
27.8808
30.6214
30.5643
29.8000
SCAMRR
10
2.0300
14.9155
28.3017
28.1899
30.4124
27.3143
SCAMRR
11
2.2330
13.0925
26.6599
26.1650
28.5647
25.2963
SCAMRR
12
2.4360
11.8245
21.5125
24.5078
22.6424
23.6277
SCAMRR
13
2.6390
10.5907
19.8083
23.0622
21.9373
22.2283
SCAMRR
14
2.8420
9.4683
22.0723
21.8725
22.3137
21.0696
SCAMRR
15
3.0450
8.6919
20.7816
20.7822
21.4384
20.0568
SCAMRR
16
3.2480
8.0424
18.9928
19.8310
22.0769
19.1675
SCAMRR
17
3.4510
7.3971
19.6168
18.9983
21.2387
18.3997
SCAMRR
18
3.6540
6.9871
16.9246
18.2359
19.6000
17.6878
SCAMRR
19
3.8570
6.4463
17.5397
17.5607
19.5049
17.0646
SCAMRR
20
4.0600
5.9200
16.4291
16.9473
17.2430
16.5089
SCAMRR
21
4.2630
5.6072
17.8375
16.3919
18.2530
16.0010
SCAMRR
22
4.4660
5.2717
14.5451
15.8807
15.9688
15.5345
SCAMRR
23
4.6690
4.9585
15.9843
15.3999
16.9253
15.1106
SCAMRR
24
4.8720
4.7392
15.3621
14.9712
15.3156
14.7186
SCAMRR
25
5.0750
4.4140
14.5759
14.5630
15.9076
14.3632
SPARS256
5
767.9930
0.0441
0.0509
0.0630
0.0597
0.0530
SPARS256
6
1023.9923
0.0306
0.0408
0.0491
0.0461
0.0412
24
Table 2. Minimum background uncertainty; no source; high ampglow (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
SPARS256
7
1279.9915
0.0237
0.0379
0.0406
0.0427
0.0341
SPARS256
8
1535.9907
0.0189
0.0317
0.0350
0.0375
0.0296
SPARS256
9
1791.9899
0.0159
0.0269
0.0309
0.0305
0.0264
SPARS256
10
2047.9892
0.0135
0.0273
0.0278
0.0309
0.0240
SPARS256
11
2303.9884
0.0116
0.0256
0.0254
0.0292
0.0221
SPARS256
12
2559.9876
0.0103
0.0204
0.0235
0.0236
0.0206
SPARS256
13
2815.9868
0.0092
0.0186
0.0219
0.0221
0.0193
SPARS256
14
3071.9861
0.0082
0.0203
0.0205
0.0216
0.0183
SPARS256
15
3327.9853
0.0074
0.0192
0.0193
0.0212
0.0174
SPARS256
16
3583.9845
0.0069
0.0172
0.0184
0.0196
0.0166
SPARS256
17
3839.9837
0.0063
0.0180
0.0175
0.0213
0.0160
SPARS256
18
4095.9830
0.0059
0.0155
0.0167
0.0172
0.0154
SPARS256
19
4351.9822
0.0054
0.0159
0.0160
0.0184
0.0148
SPARS256
20
4607.9814
0.0050
0.0148
0.0154
0.0150
0.0143
SPARS256
21
4863.9806
0.0047
0.0161
0.0149
0.0176
0.0139
SPARS256
22
5119.9799
0.0044
0.0132
0.0144
0.0145
0.0135
SPARS256
23
5375.9791
0.0041
0.0144
0.0139
0.0156
0.0132
SPARS256
24
5631.9783
0.0040
0.0137
0.0135
0.0134
0.0128
SPARS256
25
5887.9775
0.0037
0.0130
0.0131
0.0143
0.0125
SPARS64
5
191.9869
0.1759
0.1995
0.2477
0.2348
0.2072
SPARS64
6
255.9841
0.1218
0.1591
0.1920
0.1806
0.1598
SPARS64
7
319.9813
0.0945
0.1469
0.1583
0.1667
0.1315
SPARS64
8
383.9784
0.0750
0.1214
0.1361
0.1454
0.1135
SPARS64
9
447.9756
0.0630
0.1026
0.1198
0.1171
0.1005
SPARS64
10
511.9728
0.0536
0.1037
0.1076
0.1191
0.0909
SPARS64
11
575.9700
0.0460
0.0969
0.0980
0.1119
0.0835
SPARS64
12
639.9671
0.0410
0.0771
0.0904
0.0908
0.0776
SPARS64
13
703.9643
0.0364
0.0697
0.0840
0.0845
0.0727
SPARS64
14
767.9615
0.0323
0.0765
0.0787
0.0828
0.0687
SPARS64
15
831.9587
0.0293
0.0721
0.0741
0.0811
0.0653
SPARS64
16
895.9558
0.0271
0.0646
0.0703
0.0751
0.0624
25
Table 2. Minimum background uncertainty; no source; high ampglow (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
SPARS64
17
959.9530
0.0247
0.0674
0.0669
0.0811
0.0598
SPARS64
18
1023.9502
0.0232
0.0578
0.0638
0.0655
0.0574
SPARS64
19
1087.9474
0.0214
0.0595
0.0611
0.0698
0.0554
SPARS64
20
1151.9445
0.0196
0.0555
0.0587
0.0569
0.0536
SPARS64
21
1215.9417
0.0185
0.0602
0.0566
0.0665
0.0519
SPARS64
22
1279.9389
0.0173
0.0488
0.0546
0.0550
0.0504
SPARS64
23
1343.9361
0.0162
0.0537
0.0528
0.0590
0.0490
SPARS64
24
1407.9332
0.0155
0.0513
0.0512
0.0506
0.0478
SPARS64
25
1471.9304
0.0144
0.0486
0.0497
0.0542
0.0466
STEP1
5
2.9882
12.3917
14.4633
17.5389
18.9155
15.2802
STEP1
6
3.9859
8.3795
11.1236
12.8245
13.6307
11.3288
STEP1
7
4.9835
6.4296
9.9028
10.2374
10.9701
9.0972
STEP1
8
5.9811
5.0383
8.0596
8.6390
10.5632
7.6979
STEP1
9
6.9787
4.1927
6.7417
7.5223
7.5269
6.7246
STEP1
10
7.9764
3.5522
6.7262
6.7036
7.1640
6.0270
STEP1
11
8.9740
3.0288
6.2756
6.0724
7.2364
5.4907
STEP1
12
9.9716
2.6864
4.9728
5.5780
5.4160
5.0666
STEP1
13
10.9692
2.3789
4.4616
5.1695
5.1722
4.7222
STEP1
14
11.9669
2.1018
4.9031
4.8402
5.1811
4.4446
STEP1
15
12.9645
1.9055
4.5960
4.5492
5.0119
4.2073
STEP1
16
13.9621
1.7566
4.1185
4.3091
4.6785
4.0033
STEP1
17
14.9597
1.5972
4.2786
4.0961
4.8226
3.8294
STEP1
18
15.9574
1.5013
3.6616
3.9086
4.0006
3.6703
STEP1
19
16.9550
1.3788
3.7679
3.7419
3.9379
3.5324
STEP1
20
17.9526
1.2608
3.5117
3.5963
3.7735
3.4106
STEP1
21
18.9502
1.1888
3.7982
3.4624
3.8951
3.3001
STEP1
22
19.9479
1.1155
3.0752
3.3446
3.3358
3.1994
STEP1
23
20.9455
1.0437
3.3867
3.2335
3.7535
3.1083
STEP1
24
21.9431
0.9968
3.2353
3.1352
3.2076
3.0246
STEP1
25
22.9407
0.9265
3.0570
3.0432
3.2589
2.9489
STEP128
5
3.9846
9.5579
10.8797
14.1957
14.7818
11.3184
26
Table 2. Minimum background uncertainty; no source; high ampglow (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
STEP128
6
7.9784
4.4302
5.6174
7.0388
7.3325
5.5198
STEP128
7
15.9720
2.1822
3.0561
3.5065
3.8183
2.7395
STEP128
8
31.9651
1.0453
1.5316
1.7576
1.9715
1.3795
STEP128
9
63.9643
0.5262
0.7298
0.8785
0.9856
0.6979
STEP128
10
127.9615
0.2649
0.4051
0.4398
0.4500
0.3556
STEP128
11
255.9546
0.1312
0.2138
0.2203
0.2303
0.1813
STEP128
12
383.9477
0.0802
0.1240
0.1333
0.1359
0.1201
STEP128
13
511.9408
0.0564
0.0887
0.0979
0.0953
0.0906
STEP128
14
639.9338
0.0427
0.0822
0.0789
0.0828
0.0738
STEP128
15
767.9269
0.0338
0.0708
0.0666
0.0675
0.0627
STEP128
16
895.9200
0.0280
0.0585
0.0584
0.0606
0.0552
STEP128
17
1023.9131
0.0233
0.0593
0.0523
0.0622
0.0495
STEP128
18
1151.9062
0.0204
0.0485
0.0475
0.0447
0.0451
STEP128
19
1279.8992
0.0178
0.0477
0.0437
0.0490
0.0416
STEP128
20
1407.8923
0.0156
0.0414
0.0407
0.0360
0.0388
STEP128
21
1535.8854
0.0141
0.0439
0.0381
0.0413
0.0364
STEP128
22
1663.8785
0.0128
0.0342
0.0360
0.0345
0.0345
STEP128
23
1791.8716
0.0116
0.0377
0.0341
0.0388
0.0328
STEP128
24
1919.8646
0.0108
0.0343
0.0324
0.0341
0.0313
STEP128
25
2047.8577
0.0099
0.0310
0.0310
0.0306
0.0300
STEP16
5
3.9846
9.5579
10.8797
14.1957
14.7818
11.3184
STEP16
6
7.9784
4.4302
5.6174
7.0388
7.3325
5.5198
STEP16
7
15.9720
2.1822
3.0561
3.5065
3.8183
2.7395
STEP16
8
31.9651
1.0453
1.5316
1.7576
1.9715
1.3795
STEP16
9
47.9582
0.6599
0.9358
1.0559
1.1489
0.9063
STEP16
10
63.9513
0.4652
0.7856
0.7743
0.7844
0.6828
STEP16
11
79.9444
0.3478
0.6633
0.6200
0.6191
0.5534
STEP16
12
95.9374
0.2764
0.4915
0.5240
0.5562
0.4702
STEP16
13
111.9305
0.2300
0.4000
0.4571
0.4187
0.4122
STEP16
14
127.9236
0.1929
0.4176
0.4085
0.4165
0.3702
STEP16
15
143.9167
0.1660
0.3840
0.3705
0.4090
0.3376
27
Table 2. Minimum background uncertainty; no source; high ampglow (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
STEP16
16
159.9098
0.1481
0.3276
0.3411
0.3568
0.3121
STEP16
17
175.9028
0.1294
0.3424
0.3171
0.3633
0.2914
STEP16
18
191.8959
0.1182
0.2873
0.2966
0.2896
0.2736
STEP16
19
207.8890
0.1064
0.2897
0.2791
0.3090
0.2588
STEP16
20
223.8821
0.0957
0.2620
0.2645
0.2611
0.2463
STEP16
21
239.8752
0.0887
0.2799
0.2519
0.2683
0.2353
STEP16
22
255.8682
0.0820
0.2232
0.2407
0.2447
0.2258
STEP16
23
271.8613
0.0757
0.2450
0.2305
0.2510
0.2173
STEP16
24
287.8544
0.0717
0.2299
0.2217
0.2398
0.2097
STEP16
25
303.8475
0.0662
0.2132
0.2137
0.2263
0.2029
STEP2
5
3.9846
9.5579
10.8797
14.1957
14.7818
11.3184
STEP2
6
5.9786
5.6537
7.3956
8.5415
8.9325
7.3199
STEP2
7
7.9726
4.0279
6.0300
6.2327
6.5431
5.4556
STEP2
8
9.9665
3.0119
4.6579
5.0069
5.4536
4.4117
STEP2
9
11.9605
2.4194
3.8142
4.2221
4.5505
3.7404
STEP2
10
13.9545
2.0000
3.7317
3.6861
3.7816
3.2837
STEP2
11
15.9485
1.6696
3.4569
3.2848
3.8342
2.9462
STEP2
12
17.9424
1.4585
2.7069
2.9847
3.0249
2.6880
STEP2
13
19.9364
1.2808
2.3852
2.7398
2.6882
2.4832
STEP2
14
21.9304
1.1214
2.6020
2.5476
2.8642
2.3212
STEP2
15
23.9244
1.0082
2.4279
2.3793
2.6631
2.1851
STEP2
16
25.9183
0.9259
2.1512
2.2440
2.3630
2.0699
STEP2
17
27.9123
0.8355
2.2407
2.1250
2.4827
1.9727
STEP2
18
29.9063
0.7819
1.9100
2.0213
2.0606
1.8848
STEP2
19
31.9003
0.7154
1.9586
1.9286
2.1099
1.8092
STEP2
20
33.8942
0.6526
1.8152
1.8496
1.8613
1.7429
STEP2
21
35.8882
0.6133
1.9598
1.7770
2.0491
1.6832
STEP2
22
37.8822
0.5744
1.5805
1.7131
1.6310
1.6291
STEP2
23
39.8762
0.5358
1.7407
1.6534
1.9080
1.5805
STEP2
24
41.8701
0.5111
1.6582
1.6007
1.7121
1.5359
STEP2
25
43.8641
0.4744
1.5613
1.5525
1.6373
1.4958
28
Table 2. Minimum background uncertainty; no source; high ampglow (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
STEP256
5
3.9846
9.5579
10.8797
14.1957
14.7818
11.3184
STEP256
6
7.9784
4.4302
5.6174
7.0388
7.3325
5.5198
STEP256
7
15.9720
2.1822
3.0561
3.5065
3.8183
2.7395
STEP256
8
31.9651
1.0453
1.5316
1.7576
1.9715
1.3795
STEP256
9
63.9643
0.5262
0.7298
0.8785
0.9856
0.6979
STEP256
10
127.9615
0.2649
0.4051
0.4398
0.4500
0.3556
STEP256
11
255.9546
0.1312
0.2138
0.2203
0.2303
0.1813
STEP256
12
511.9538
0.0648
0.0951
0.1112
0.1131
0.0931
STEP256
13
767.9530
0.0402
0.0606
0.0674
0.0598
0.0619
STEP256
14
1023.9523
0.0283
0.0521
0.0498
0.0551
0.0470
STEP256
15
1279.9515
0.0213
0.0428
0.0401
0.0381
0.0383
STEP256
16
1535.9507
0.0170
0.0349
0.0341
0.0383
0.0327
STEP256
17
1791.9499
0.0138
0.0345
0.0299
0.0344
0.0288
STEP256
18
2047.9492
0.0118
0.0279
0.0268
0.0238
0.0259
STEP256
19
2303.9484
0.0101
0.0271
0.0244
0.0278
0.0236
STEP256
20
2559.9476
0.0088
0.0232
0.0225
0.0214
0.0218
STEP256
21
2815.9468
0.0078
0.0245
0.0210
0.0222
0.0203
STEP256
22
3071.9461
0.0070
0.0190
0.0197
0.0199
0.0191
STEP256
23
3327.9453
0.0063
0.0209
0.0185
0.0206
0.0181
STEP256
24
3583.9445
0.0059
0.0188
0.0176
0.0186
0.0172
STEP256
25
3839.9437
0.0054
0.0168
0.0168
0.0163
0.0164
STEP32
5
3.9846
9.5579
10.8797
14.1957
14.7818
11.3184
STEP32
6
7.9784
4.4302
5.6174
7.0388
7.3325
5.5198
STEP32
7
15.9720
2.1822
3.0561
3.5065
3.8183
2.7395
STEP32
8
31.9651
1.0453
1.5316
1.7576
1.9715
1.3795
STEP32
9
63.9643
0.5262
0.7298
0.8785
0.9856
0.6979
STEP32
10
95.9636
0.3288
0.5281
0.5284
0.5502
0.4606
STEP32
11
127.9628
0.2282
0.4126
0.3867
0.3877
0.3465
STEP32
12
159.9620
0.1715
0.2937
0.3108
0.2954
0.2810
STEP32
13
191.9612
0.1376
0.2318
0.2624
0.2494
0.2386
STEP32
14
223.9605
0.1127
0.2355
0.2294
0.2394
0.2095
29
Table 2. Minimum background uncertainty; no source; high ampglow (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
STEP32
15
255.9597
0.0949
0.2137
0.2045
0.2143
0.1878
STEP32
16
287.9589
0.0831
0.1806
0.1861
0.2104
0.1714
STEP32
17
319.9581
0.0717
0.1876
0.1713
0.1934
0.1584
STEP32
18
351.9574
0.0647
0.1565
0.1590
0.1621
0.1475
STEP32
19
383.9566
0.0577
0.1564
0.1487
0.1635
0.1385
STEP32
20
415.9558
0.0516
0.1400
0.1402
0.1341
0.1310
STEP32
21
447.9550
0.0475
0.1489
0.1329
0.1362
0.1246
STEP32
22
479.9543
0.0437
0.1180
0.1266
0.1257
0.1190
STEP32
23
511.9535
0.0401
0.1296
0.1208
0.1300
0.1141
STEP32
24
543.9527
0.0379
0.1206
0.1158
0.1203
0.1098
STEP32
25
575.9519
0.0349
0.1110
0.1114
0.1090
0.1060
STEP64
5
3.9846
9.5579
10.8797
14.1957
14.7818
11.3184
STEP64
6
7.9784
4.4302
5.6174
7.0388
7.3325
5.5198
STEP64
7
15.9720
2.1822
3.0561
3.5065
3.8183
2.7395
STEP64
8
31.9651
1.0453
1.5316
1.7576
1.9715
1.3795
STEP64
9
63.9643
0.5262
0.7298
0.8785
0.9856
0.6979
STEP64
10
127.9615
0.2649
0.4051
0.4398
0.4500
0.3556
STEP64
11
191.9587
0.1624
0.2775
0.2645
0.2688
0.2345
STEP64
12
255.9559
0.1126
0.1839
0.1945
0.1995
0.1768
STEP64
13
319.9530
0.0857
0.1397
0.1559
0.1534
0.1433
STEP64
14
383.9502
0.0680
0.1365
0.1320
0.1447
0.1220
STEP64
15
447.9474
0.0557
0.1214
0.1151
0.1199
0.1069
STEP64
16
511.9446
0.0477
0.1015
0.1031
0.1098
0.0960
STEP64
17
575.9418
0.0405
0.1045
0.0938
0.1109
0.0876
STEP64
18
639.9389
0.0360
0.0864
0.0862
0.0874
0.0808
STEP64
19
703.9361
0.0318
0.0857
0.0800
0.0927
0.0752
STEP64
20
767.9333
0.0282
0.0756
0.0750
0.0756
0.0707
STEP64
21
831.9305
0.0257
0.0803
0.0707
0.0774
0.0668
STEP64
22
895.9276
0.0235
0.0631
0.0671
0.0679
0.0635
STEP64
23
959.9248
0.0214
0.0693
0.0638
0.0731
0.0607
STEP64
24
1023.9220
0.0202
0.0639
0.0610
0.0634
0.0581
30
Table 2. Minimum background uncertainty; no source; high ampglow (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
STEP64
25
1087.9192
0.0185
0.0583
0.0585
0.0558
0.0559
STEP8
5
3.9846
9.5579
10.8797
14.1957
14.7818
11.3184
STEP8
6
7.9784
4.4302
5.6174
7.0388
7.3325
5.5198
STEP8
7
15.9720
2.1822
3.0561
3.5065
3.8183
2.7395
STEP8
8
23.9656
1.3209
1.9526
2.1134
2.3684
1.7979
STEP8
9
31.9592
0.9430
1.3861
1.5459
1.6615
1.3492
STEP8
10
39.9528
0.7154
1.2635
1.2422
1.2372
1.0955
STEP8
11
47.9464
0.5609
1.1206
1.0459
1.1946
0.9308
STEP8
12
55.9400
0.4655
0.8468
0.9142
0.9042
0.8166
STEP8
13
63.9336
0.3969
0.7117
0.8152
0.8072
0.7324
STEP8
14
71.9272
0.3390
0.7567
0.7412
0.7828
0.6691
STEP8
15
79.9208
0.2968
0.7009
0.6802
0.7394
0.6185
STEP8
16
87.9144
0.2685
0.6041
0.6331
0.6362
0.5775
STEP8
17
95.9080
0.2373
0.6330
0.5928
0.6790
0.5438
STEP8
18
103.9016
0.2190
0.5341
0.5579
0.5443
0.5143
STEP8
19
111.8951
0.1984
0.5426
0.5276
0.5897
0.4894
STEP8
20
119.8887
0.1796
0.4951
0.5027
0.4894
0.4680
STEP8
21
127.8823
0.1673
0.5311
0.4804
0.5242
0.4491
STEP8
22
135.8759
0.1555
0.4256
0.4607
0.4688
0.4324
STEP8
23
143.8695
0.1441
0.4674
0.4422
0.5032
0.4175
STEP8
24
151.8631
0.1369
0.4414
0.4265
0.4558
0.4040
STEP8
25
159.8567
0.1266
0.4119
0.4122
0.4324
0.3920
Table 3. Example of moderate to high countrate
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
MCAMRR
5
1.5116
22.4389
24.7412
28.5510
26.9684
25.2285
MCAMRR
6
1.8140
18.0473
18.4376
23.9134
22.5610
20.1832
MCAMRR
7
2.1163
14.5509
15.6656
20.5343
19.0454
16.6998
MCAMRR
8
2.4186
12.1456
14.9297
18.0501
19.1770
14.1940
31
Table 3. Example of moderate to high countrate (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
MCAMRR
9
2.7210
10.2801
14.2764
16.0843
18.0290
12.3142
MCAMRR
10
3.0233
8.9679
10.9055
14.5138
15.4772
10.8096
MCAMRR
11
3.3256
7.8120
9.6434
13.2201
13.2426
9.6684
MCAMRR
12
3.6279
6.9521
7.9097
12.1806
12.0661
8.7217
MCAMRR
13
3.9303
6.4178
8.6022
11.2415
12.1448
7.9654
MCAMRR
14
4.2326
5.7879
8.0244
10.4875
10.9711
7.3304
MCAMRR
15
4.5349
5.3159
6.1198
9.7662
9.6988
6.7628
MCAMRR
16
4.8372
4.7870
6.0171
9.2022
8.7168
6.3004
MCAMRR
17
5.1396
4.4680
5.3166
8.6574
8.0386
5.8887
MCAMRR
18
5.4419
4.0856
4.9802
8.2181
8.2264
5.5700
MCAMRR
19
5.7442
3.7979
5.0918
7.8000
7.5390
5.2560
MCAMRR
20
6.0466
3.5978
4.6639
7.4037
7.4028
4.9821
MCAMRR
21
6.3489
3.3138
4.5323
7.0828
7.1945
4.7474
MCAMRR
22
6.6512
3.1284
4.1809
6.7426
7.0638
4.5348
MCAMRR
23
6.9535
2.9013
4.1817
6.4734
6.8851
4.3413
MCAMRR
24
7.2559
2.7374
3.7890
6.2101
6.8063
4.1765
MCAMRR
25
7.5582
2.5789
3.5666
5.9728
5.6146
4.0152
MIF1024
5
1.5116
22.4389
24.7412
28.5510
26.9684
25.2285
MIF1024
6
1.8140
18.0473
18.4376
23.9134
22.5610
20.1832
MIF1024
7
2.1163
14.5509
15.6656
20.5343
19.0454
16.6998
MIF1024
8
2.4186
12.1456
14.9297
18.0501
19.1770
14.1940
MIF1024
9
63.9930
0.5036
0.6588
0.7470
0.7391
0.5891
MIF1024
10
127.9902
0.2280
0.3158
0.3944
0.3736
0.3158
MIF1024
11
255.9833
0.1167
0.1808
0.2434
0.2391
0.1883
MIF1024
12
383.9764
0.0720
0.1562
0.1657
0.1719
0.1410
MIF1024
13
511.9694
0.0511
0.1019
0.1310
0.1133
0.1167
MIF1024
14
639.9625
0.0397
0.0946
0.1110
0.1068
0.1019
MIF1024
15
767.9556
0.0321
0.0822
0.0978
0.0887
0.0915
MIF1024
16
895.9487
0.0269
0.0882
0.0882
0.0965
0.0839
MIF1024
17
1023.9418
0.0238
0.0774
0.0809
0.0854
0.0779
MIF1024
18
1024.2441
0.0204
0.0695
0.0808
0.0715
0.0756
32
Table 3. Example of moderate to high countrate (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
MIF1024
19
1024.5464
0.0191
0.0796
0.0809
0.0880
0.0747
MIF1024
20
1024.8487
0.0177
0.0698
0.0808
0.0805
0.0740
MIF1024
21
1025.1511
0.0173
0.0721
0.0809
0.0764
0.0738
MIF1024
22
1025.4534
0.0159
0.0795
0.0809
0.0870
0.0736
MIF1024
23
1025.7557
0.0154
0.0687
0.0809
0.0700
0.0735
MIF1024
24
1026.0580
0.0150
0.0696
0.0809
0.0798
0.0734
MIF1024
25
1026.3604
0.0147
0.0728
0.0809
0.0806
0.0734
MIF2048
5
1.5116
22.4389
24.7412
28.5510
26.9684
25.2285
MIF2048
6
1.8140
18.0473
18.4376
23.9134
22.5610
20.1832
MIF2048
7
2.1163
14.5509
15.6656
20.5343
19.0454
16.6998
MIF2048
8
2.4186
12.1456
14.9297
18.0501
19.1770
14.1940
MIF2048
9
127.9889
0.2497
0.3630
0.3938
0.3973
0.3244
MIF2048
10
255.9820
0.1141
0.1824
0.2197
0.2047
0.1870
MIF2048
11
511.9812
0.0595
0.1135
0.1410
0.1353
0.1183
MIF2048
12
767.9804
0.0370
0.1024
0.1011
0.1069
0.0919
MIF2048
13
1023.9797
0.0267
0.0684
0.0824
0.0715
0.0778
MIF2048
14
1279.9789
0.0212
0.0643
0.0712
0.0687
0.0688
MIF2048
15
1535.9781
0.0174
0.0565
0.0636
0.0575
0.0624
MIF2048
16
1791.9773
0.0147
0.0613
0.0580
0.0630
0.0575
MIF2048
17
2047.9766
0.0133
0.0546
0.0536
0.0576
0.0537
MIF2048
18
2048.2789
0.0113
0.0480
0.0536
0.0480
0.0523
MIF2048
19
2048.5812
0.0106
0.0548
0.0536
0.0576
0.0517
MIF2048
20
2048.8836
0.0098
0.0486
0.0536
0.0534
0.0514
MIF2048
21
2049.1859
0.0096
0.0501
0.0536
0.0511
0.0512
MIF2048
22
2049.4882
0.0088
0.0552
0.0536
0.0580
0.0512
MIF2048
23
2049.7905
0.0085
0.0479
0.0536
0.0471
0.0511
MIF2048
24
2050.0929
0.0082
0.0485
0.0536
0.0529
0.0510
MIF2048
25
2050.3952
0.0081
0.0507
0.0536
0.0536
0.0511
MIF3072
5
1.5116
22.4389
24.7412
28.5510
26.9684
25.2285
MIF3072
6
1.8140
18.0473
18.4376
23.9134
22.5610
20.1832
MIF3072
7
2.1163
14.5509
15.6656
20.5343
19.0454
16.6998
33
Table 3. Example of moderate to high countrate (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
MIF3072
8
2.4186
12.1456
14.9297
18.0501
19.1770
14.1940
MIF3072
9
127.9889
0.2497
0.3630
0.3938
0.3973
0.3244
MIF3072
10
255.9820
0.1141
0.1824
0.2197
0.2047
0.1870
MIF3072
11
639.9802
0.0496
0.1012
0.1237
0.1206
0.1030
MIF3072
12
1023.9784
0.0290
0.0853
0.0848
0.0878
0.0778
MIF3072
13
1407.9766
0.0202
0.0577
0.0682
0.0597
0.0652
MIF3072
14
1791.9748
0.0160
0.0530
0.0586
0.0558
0.0574
MIF3072
15
2175.9730
0.0130
0.0469
0.0522
0.0469
0.0518
MIF3072
16
2559.9712
0.0110
0.0503
0.0475
0.0508
0.0477
MIF3072
17
3071.9684
0.0098
0.0450
0.0437
0.0466
0.0437
MIF3072
18
3072.2707
0.0083
0.0392
0.0437
0.0384
0.0424
MIF3072
19
3072.5730
0.0077
0.0442
0.0437
0.0457
0.0419
MIF3072
20
3072.8754
0.0072
0.0397
0.0437
0.0429
0.0416
MIF3072
21
3073.1777
0.0069
0.0403
0.0437
0.0410
0.0416
MIF3072
22
3073.4800
0.0064
0.0452
0.0437
0.0466
0.0415
MIF3072
23
3073.7823
0.0061
0.0392
0.0437
0.0380
0.0414
MIF3072
24
3074.0847
0.0059
0.0395
0.0437
0.0418
0.0414
MIF3072
25
3074.3870
0.0058
0.0421
0.0437
0.0440
0.0414
MIF512
5
1.5116
22.4389
24.7412
28.5510
26.9684
25.2285
MIF512
6
1.8140
18.0473
18.4376
23.9134
22.5610
20.1832
MIF512
7
2.1163
14.5509
15.6656
20.5343
19.0454
16.6998
MIF512
8
2.4186
12.1456
14.9297
18.0501
19.1770
14.1940
MIF512
9
31.9879
1.0233
1.2599
1.4902
1.4490
1.1281
MIF512
10
63.9871
0.4593
0.5814
0.7481
0.7178
0.5684
MIF512
11
127.9843
0.2319
0.3078
0.4437
0.4476
0.3186
MIF512
12
191.9815
0.1424
0.2489
0.2875
0.2943
0.2276
MIF512
13
255.9786
0.1002
0.1580
0.2199
0.1920
0.1826
MIF512
14
319.9758
0.0765
0.1443
0.1820
0.1761
0.1561
MIF512
15
383.9730
0.0616
0.1236
0.1576
0.1439
0.1383
MIF512
16
447.9702
0.0513
0.1296
0.1402
0.1554
0.1254
MIF512
17
511.9674
0.0447
0.1114
0.1272
0.1315
0.1156
34
Table 3. Example of moderate to high countrate (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
MIF512
18
512.2697
0.0386
0.1028
0.1268
0.1101
0.1116
MIF512
19
512.5720
0.0360
0.1178
0.1270
0.1402
0.1098
MIF512
20
512.8743
0.0333
0.1019
0.1269
0.1256
0.1085
MIF512
21
513.1767
0.0325
0.1056
0.1271
0.1198
0.1081
MIF512
22
513.4790
0.0300
0.1158
0.1271
0.1351
0.1077
MIF512
23
513.7813
0.0292
0.1000
0.1270
0.1088
0.1074
MIF512
24
514.0836
0.0284
0.1012
0.1271
0.1249
0.1072
MIF512
25
514.3860
0.0278
0.1061
0.1271
0.1256
0.1072
SCAMRR
5
1.0150
34.3952
30.1576
42.5646
36.2418
37.5264
SCAMRR
6
1.2180
27.1920
28.9286
35.5854
36.0088
30.0531
SCAMRR
7
1.4210
22.6139
25.7494
30.6182
33.1889
24.9093
SCAMRR
8
1.6240
19.1377
21.8398
26.8760
27.6065
21.1277
SCAMRR
9
1.8270
16.0288
19.6068
23.9328
24.3322
18.2771
SCAMRR
10
2.0300
14.2549
15.9632
21.5650
21.6256
16.0918
SCAMRR
11
2.2330
12.3986
14.6843
19.6865
20.4763
14.3430
SCAMRR
12
2.4360
10.8942
13.2389
18.0715
19.1036
12.9756
SCAMRR
13
2.6390
9.9095
10.1925
16.7035
17.1461
11.8075
SCAMRR
14
2.8420
8.8685
10.6757
15.5766
15.0082
10.8526
SCAMRR
15
3.0450
7.9960
9.6203
14.5478
14.2207
10.0455
SCAMRR
16
3.2480
7.3132
8.5425
13.6655
12.2808
9.3465
SCAMRR
17
3.4510
6.6955
7.7278
12.8807
11.3852
8.7442
SCAMRR
18
3.6540
6.1823
8.2787
12.1943
13.8909
8.2287
SCAMRR
19
3.8570
5.7772
6.5348
11.5750
11.3221
7.7638
SCAMRR
20
4.0600
5.3643
7.6303
11.0126
10.5833
7.3972
SCAMRR
21
4.2630
4.9715
6.7760
10.4803
10.0878
7.0351
SCAMRR
22
4.4660
4.6735
6.0527
10.0485
9.9086
6.7202
SCAMRR
23
4.6690
4.3496
5.8505
9.6151
10.5413
6.4139
SCAMRR
24
4.8720
4.1018
5.6344
9.2347
9.3262
6.1755
SCAMRR
25
5.0750
3.9004
5.7287
8.8557
9.1583
5.9472
SPARS256
5
767.9930
0.0472
0.1024
0.0985
0.1073
0.0946
SPARS256
6
1023.9923
0.0336
0.0810
0.0817
0.0824
0.0800
35
Table 3. Example of moderate to high countrate (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
SPARS256
7
1279.9915
0.0277
0.0686
0.0712
0.0692
0.0707
SPARS256
8
1535.9907
0.0222
0.0660
0.0639
0.0646
0.0642
SPARS256
9
1791.9899
0.0193
0.0547
0.0583
0.0565
0.0591
SPARS256
10
2047.9892
0.0172
0.0518
0.0540
0.0518
0.0552
SPARS256
11
2303.9884
0.0155
0.0589
0.0505
0.0591
0.0519
SPARS256
12
2559.9876
0.0141
0.0460
0.0476
0.0456
0.0492
SPARS256
13
2815.9868
0.0124
0.0489
0.0451
0.0490
0.0468
SPARS256
14
3071.9861
0.0116
0.0433
0.0430
0.0426
0.0448
SPARS256
15
3327.9853
0.0103
0.0433
0.0412
0.0423
0.0430
SPARS256
16
3583.9845
0.0100
0.0450
0.0395
0.0442
0.0415
SPARS256
17
3839.9837
0.0092
0.0373
0.0381
0.0364
0.0400
SPARS256
18
4095.9830
0.0086
0.0396
0.0368
0.0402
0.0387
SPARS256
19
4351.9822
0.0081
0.0407
0.0356
0.0391
0.0376
SPARS256
20
4607.9814
0.0076
0.0354
0.0345
0.0367
0.0365
SPARS256
21
4863.9806
0.0070
0.0379
0.0335
0.0353
0.0355
SPARS256
22
5119.9799
0.0067
0.0339
0.0326
0.0333
0.0346
SPARS256
23
5375.9791
0.0064
0.0374
0.0318
0.0353
0.0338
SPARS256
24
5631.9783
0.0063
0.0362
0.0310
0.0336
0.0330
SPARS256
25
5887.9775
0.0056
0.0315
0.0303
0.0310
0.0323
SPARS64
5
191.9869
0.1674
0.2564
0.2760
0.2902
0.2401
SPARS64
6
255.9841
0.1153
0.2014
0.2185
0.2271
0.1921
SPARS64
7
319.9813
0.0952
0.1709
0.1837
0.1886
0.1635
SPARS64
8
383.9784
0.0755
0.1460
0.1604
0.1568
0.1447
SPARS64
9
447.9756
0.0617
0.1250
0.1434
0.1420
0.1309
SPARS64
10
511.9728
0.0561
0.1133
0.1304
0.1238
0.1204
SPARS64
11
575.9700
0.0478
0.1249
0.1201
0.1365
0.1120
SPARS64
12
639.9671
0.0434
0.1006
0.1118
0.1098
0.1053
SPARS64
13
703.9643
0.0378
0.1050
0.1049
0.1121
0.0995
SPARS64
14
767.9615
0.0356
0.0893
0.0991
0.0991
0.0948
SPARS64
15
831.9587
0.0306
0.0906
0.0941
0.0928
0.0906
SPARS64
16
895.9558
0.0296
0.0951
0.0897
0.1005
0.0870
36
Table 3. Example of moderate to high countrate (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
SPARS64
17
959.9530
0.0271
0.0778
0.0857
0.0804
0.0837
SPARS64
18
1023.9502
0.0248
0.0806
0.0823
0.0906
0.0808
SPARS64
19
1087.9474
0.0233
0.0843
0.0793
0.0856
0.0782
SPARS64
20
1151.9445
0.0219
0.0724
0.0766
0.0813
0.0758
SPARS64
21
1215.9417
0.0202
0.0775
0.0740
0.0750
0.0737
SPARS64
22
1279.9389
0.0190
0.0694
0.0718
0.0742
0.0717
SPARS64
23
1343.9361
0.0180
0.0783
0.0697
0.0763
0.0698
SPARS64
24
1407.9332
0.0176
0.0751
0.0677
0.0706
0.0681
SPARS64
25
1471.9304
0.0155
0.0649
0.0660
0.0669
0.0666
STEP1
5
2.9882
11.6337
11.5830
15.8580
14.0215
12.3437
STEP1
6
3.9859
7.6156
8.1820
11.1811
10.9380
8.6856
STEP1
7
4.9835
5.7215
6.5680
8.6551
8.2038
6.6480
STEP1
8
5.9811
4.7334
5.4639
7.0531
7.4729
5.3177
STEP1
9
6.9787
3.8785
4.5376
5.9755
6.6957
4.4457
STEP1
10
7.9764
3.3421
4.1450
5.1852
5.0280
3.8140
STEP1
11
8.9740
2.7771
3.3903
4.5961
4.8902
3.3467
STEP1
12
9.9716
2.4115
3.0769
4.1138
3.8861
2.9651
STEP1
13
10.9692
2.1479
2.4329
3.7229
3.7422
2.6634
STEP1
14
11.9669
1.9427
2.2255
3.4118
3.3451
2.4373
STEP1
15
12.9645
1.6946
2.0270
3.1528
2.7133
2.2436
STEP1
16
13.9621
1.5385
2.0416
2.9214
2.9281
2.0768
STEP1
17
14.9597
1.4327
1.7027
2.7267
2.7483
1.9378
STEP1
18
15.9574
1.2955
1.6862
2.5554
2.3601
1.8156
STEP1
19
16.9550
1.2168
1.7072
2.4097
2.5451
1.7190
STEP1
20
17.9526
1.1393
1.4833
2.2796
2.2141
1.6296
STEP1
21
18.9502
1.0658
1.4787
2.1558
2.0140
1.5484
STEP1
22
19.9479
0.9787
1.5382
2.0503
2.3673
1.4797
STEP1
23
20.9455
0.9138
1.2975
1.9564
2.0464
1.4168
STEP1
24
21.9431
0.8596
1.2624
1.8741
1.9397
1.3617
STEP1
25
22.9407
0.7978
1.2304
1.7899
1.8915
1.3118
STEP128
5
3.9846
9.0534
7.9651
13.3626
12.8810
9.4304
37
Table 3. Example of moderate to high countrate (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
STEP128
6
7.9784
4.2207
4.5648
6.6385
7.0299
4.5097
STEP128
7
15.9720
2.0227
2.2642
3.3397
3.3652
2.2108
STEP128
8
31.9651
0.9959
1.2666
1.7000
1.7666
1.1193
STEP128
9
63.9643
0.4815
0.5933
0.8780
0.7634
0.5862
STEP128
10
127.9615
0.2421
0.3380
0.4657
0.4077
0.3237
STEP128
11
255.9546
0.1211
0.1924
0.2574
0.2529
0.1904
STEP128
12
383.9477
0.0749
0.1391
0.1694
0.1665
0.1418
STEP128
13
511.9408
0.0530
0.1019
0.1327
0.1256
0.1173
STEP128
14
639.9338
0.0407
0.1068
0.1117
0.1141
0.1021
STEP128
15
767.9269
0.0334
0.0966
0.0981
0.1013
0.0918
STEP128
16
895.9200
0.0270
0.0792
0.0883
0.0826
0.0840
STEP128
17
1023.9131
0.0234
0.0788
0.0810
0.0796
0.0781
STEP128
18
1151.9062
0.0207
0.0789
0.0753
0.0783
0.0733
STEP128
19
1279.8992
0.0187
0.0726
0.0706
0.0748
0.0693
STEP128
20
1407.8923
0.0168
0.0607
0.0664
0.0578
0.0657
STEP128
21
1535.8854
0.0153
0.0571
0.0631
0.0572
0.0628
STEP128
22
1663.8785
0.0139
0.0543
0.0602
0.0559
0.0602
STEP128
23
1791.8716
0.0128
0.0481
0.0577
0.0496
0.0579
STEP128
24
1919.8646
0.0119
0.0470
0.0554
0.0487
0.0558
STEP128
25
2047.8577
0.0109
0.0564
0.0535
0.0529
0.0541
STEP16
5
3.9846
9.0534
7.9651
13.3626
12.8810
9.4304
STEP16
6
7.9784
4.2207
4.5648
6.6385
7.0299
4.5097
STEP16
7
15.9720
2.0227
2.2642
3.3397
3.3652
2.2108
STEP16
8
31.9651
0.9959
1.2666
1.7000
1.7666
1.1193
STEP16
9
47.9582
0.6025
0.7489
1.0029
0.9063
0.7284
STEP16
10
63.9513
0.4277
0.5974
0.7238
0.6988
0.5438
STEP16
11
79.9444
0.3287
0.4274
0.5727
0.6329
0.4388
STEP16
12
95.9374
0.2542
0.3630
0.4779
0.4976
0.3726
STEP16
13
111.9305
0.2095
0.2887
0.4127
0.3969
0.3266
STEP16
14
127.9236
0.1786
0.2769
0.3643
0.3350
0.2923
STEP16
15
143.9167
0.1566
0.2668
0.3280
0.3306
0.2671
38
Table 3. Example of moderate to high countrate (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
STEP16
16
159.9098
0.1326
0.2344
0.2991
0.2959
0.2463
STEP16
17
175.9028
0.1195
0.2353
0.2756
0.2945
0.2304
STEP16
18
191.8959
0.1086
0.2273
0.2566
0.2700
0.2171
STEP16
19
207.8890
0.0996
0.2207
0.2406
0.2664
0.2058
STEP16
20
223.8821
0.0910
0.1868
0.2251
0.2037
0.1951
STEP16
21
239.8752
0.0831
0.1807
0.2133
0.2141
0.1866
STEP16
22
255.8682
0.0765
0.1622
0.2022
0.2073
0.1788
STEP16
23
271.8613
0.0700
0.1464
0.1936
0.1821
0.1724
STEP16
24
287.8544
0.0645
0.1354
0.1849
0.1741
0.1660
STEP16
25
303.8475
0.0606
0.1611
0.1782
0.1617
0.1613
STEP2
5
3.9846
9.0534
7.9651
13.3626
12.8810
9.4304
STEP2
6
5.9786
5.1921
6.0651
7.7041
8.2727
5.8156
STEP2
7
7.9726
3.7565
4.3451
5.4274
6.3994
4.1147
STEP2
8
9.9665
2.9212
3.1987
4.2131
4.4805
3.1779
STEP2
9
11.9605
2.2282
2.6022
3.4425
3.4450
2.5684
STEP2
10
13.9545
1.7985
2.1371
2.9217
2.9064
2.1623
STEP2
11
15.9485
1.5917
1.5909
2.5352
2.3018
1.8654
STEP2
12
17.9424
1.3507
1.5572
2.2485
2.4903
1.6466
STEP2
13
19.9364
1.1978
1.1336
2.0167
1.7430
1.4721
STEP2
14
21.9304
1.0619
1.3229
1.8302
1.8049
1.3353
STEP2
15
23.9244
0.9091
1.2109
1.6801
1.6687
1.2241
STEP2
16
25.9183
0.8218
0.9860
1.5504
1.4832
1.1322
STEP2
17
27.9123
0.7625
1.0854
1.4424
1.2105
1.0568
STEP2
18
29.9063
0.6946
0.8919
1.3461
1.4157
0.9912
STEP2
19
31.9003
0.6559
0.8753
1.2589
1.2833
0.9345
STEP2
20
33.8942
0.5965
0.8800
1.1909
1.1059
0.8870
STEP2
21
35.8882
0.5622
0.8019
1.1237
1.2853
0.8435
STEP2
22
37.8822
0.5000
0.8166
1.0731
1.0940
0.8067
STEP2
23
39.8762
0.4795
0.6880
1.0182
1.0893
0.7720
STEP2
24
41.8701
0.4477
0.7645
0.9731
1.0898
0.7440
STEP2
25
43.8641
0.4241
0.7062
0.9303
0.9762
0.7154
39
Table 3. Example of moderate to high countrate (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
STEP256
5
3.9846
9.0534
7.9651
13.3626
12.8810
9.4304
STEP256
6
7.9784
4.2207
4.5648
6.6385
7.0299
4.5097
STEP256
7
15.9720
2.0227
2.2642
3.3397
3.3652
2.2108
STEP256
8
31.9651
0.9959
1.2666
1.7000
1.7666
1.1193
STEP256
9
63.9643
0.4815
0.5933
0.8780
0.7634
0.5862
STEP256
10
127.9615
0.2421
0.3380
0.4657
0.4077
0.3237
STEP256
11
255.9546
0.1211
0.1924
0.2574
0.2529
0.1904
STEP256
12
511.9538
0.0608
0.1206
0.1493
0.1511
0.1190
STEP256
13
767.9530
0.0383
0.0820
0.1038
0.1006
0.0923
STEP256
14
1023.9523
0.0274
0.0822
0.0837
0.0855
0.0780
STEP256
15
1279.9515
0.0218
0.0706
0.0719
0.0706
0.0689
STEP256
16
1535.9507
0.0172
0.0588
0.0640
0.0597
0.0625
STEP256
17
1791.9499
0.0146
0.0592
0.0583
0.0577
0.0577
STEP256
18
2047.9492
0.0127
0.0600
0.0539
0.0580
0.0538
STEP256
19
2303.9484
0.0115
0.0534
0.0503
0.0539
0.0506
STEP256
20
2559.9476
0.0102
0.0449
0.0473
0.0421
0.0479
STEP256
21
2815.9468
0.0094
0.0415
0.0449
0.0412
0.0456
STEP256
22
3071.9461
0.0085
0.0395
0.0427
0.0395
0.0436
STEP256
23
3327.9453
0.0079
0.0340
0.0409
0.0344
0.0419
STEP256
24
3583.9445
0.0074
0.0344
0.0393
0.0344
0.0403
STEP256
25
3839.9437
0.0067
0.0407
0.0379
0.0376
0.0390
STEP32
5
3.9846
9.0534
7.9651
13.3626
12.8810
9.4304
STEP32
6
7.9784
4.2207
4.5648
6.6385
7.0299
4.5097
STEP32
7
15.9720
2.0227
2.2642
3.3397
3.3652
2.2108
STEP32
8
31.9651
0.9959
1.2666
1.7000
1.7666
1.1193
STEP32
9
63.9643
0.4815
0.5933
0.8780
0.7634
0.5862
STEP32
10
95.9636
0.3013
0.4211
0.5304
0.4760
0.3965
STEP32
11
127.9628
0.2137
0.3037
0.3911
0.4139
0.3060
STEP32
12
159.9620
0.1581
0.2465
0.3148
0.3229
0.2542
STEP32
13
191.9612
0.1262
0.1880
0.2670
0.2378
0.2206
STEP32
14
223.9605
0.1051
0.1896
0.2332
0.2223
0.1965
40
Table 3. Example of moderate to high countrate (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
STEP32
15
255.9597
0.0905
0.1811
0.2089
0.2109
0.1792
STEP32
16
287.9589
0.0755
0.1562
0.1900
0.1757
0.1652
STEP32
17
319.9581
0.0673
0.1575
0.1751
0.1763
0.1546
STEP32
18
351.9574
0.0607
0.1533
0.1631
0.1659
0.1457
STEP32
19
383.9566
0.0554
0.1458
0.1531
0.1620
0.1383
STEP32
20
415.9558
0.0503
0.1235
0.1438
0.1269
0.1313
STEP32
21
447.9550
0.0458
0.1199
0.1365
0.1329
0.1256
STEP32
22
479.9543
0.0419
0.1095
0.1298
0.1268
0.1206
STEP32
23
511.9535
0.0384
0.0996
0.1244
0.1145
0.1163
STEP32
24
543.9527
0.0354
0.0910
0.1192
0.1086
0.1121
STEP32
25
575.9519
0.0331
0.1101
0.1151
0.1084
0.1089
STEP64
5
3.9846
9.0534
7.9651
13.3626
12.8810
9.4304
STEP64
6
7.9784
4.2207
4.5648
6.6385
7.0299
4.5097
STEP64
7
15.9720
2.0227
2.2642
3.3397
3.3652
2.2108
STEP64
8
31.9651
0.9959
1.2666
1.7000
1.7666
1.1193
STEP64
9
63.9643
0.4815
0.5933
0.8780
0.7634
0.5862
STEP64
10
127.9615
0.2421
0.3380
0.4657
0.4077
0.3237
STEP64
11
191.9587
0.1507
0.2332
0.2925
0.2973
0.2297
STEP64
12
255.9559
0.1044
0.1790
0.2214
0.2221
0.1840
STEP64
13
319.9530
0.0796
0.1347
0.1825
0.1649
0.1570
STEP64
14
383.9502
0.0639
0.1385
0.1573
0.1562
0.1387
STEP64
15
447.9474
0.0539
0.1305
0.1398
0.1450
0.1259
STEP64
16
511.9446
0.0443
0.1088
0.1267
0.1176
0.1158
STEP64
17
575.9418
0.0390
0.1092
0.1166
0.1168
0.1082
STEP64
18
639.9389
0.0348
0.1077
0.1086
0.1103
0.1019
STEP64
19
703.9361
0.0317
0.1015
0.1020
0.1084
0.0966
STEP64
20
767.9333
0.0286
0.0845
0.0960
0.0823
0.0917
STEP64
21
831.9305
0.0260
0.0817
0.0912
0.0859
0.0877
STEP64
22
895.9276
0.0237
0.0764
0.0869
0.0826
0.0842
STEP64
23
959.9248
0.0217
0.0687
0.0834
0.0739
0.0812
STEP64
24
1023.9220
0.0201
0.0641
0.0800
0.0705
0.0783
41
Table 3. Example of moderate to high countrate (Continued)
Seqname
read
Texp
(sec)
lsline
(anal)
lsline
(empir)
wtdiff
(anal)
wtdiff
(empir)
Poisson
(anal)
STEP64
25
1087.9192
0.0186
0.0784
0.0773
0.0752
0.0760
STEP8
5
3.9846
9.0534
7.9651
13.3626
12.8810
9.4304
STEP8
6
7.9784
4.2207
4.5648
6.6385
7.0299
4.5097
STEP8
7
15.9720
2.0227
2.2642
3.3397
3.3652
2.2108
STEP8
8
23.9656
1.2845
1.2689
1.9507
1.7967
1.4068
STEP8
9
31.9592
0.8581
0.9014
1.3866
1.3247
1.0250
STEP8
10
39.9528
0.6743
0.7641
1.0869
1.1984
0.8109
STEP8
11
47.9464
0.5117
0.7488
0.8991
0.9345
0.6736
STEP8
12
55.9400
0.4352
0.5472
0.7670
0.8068
0.5783
STEP8
13
63.9336
0.3584
0.4804
0.6723
0.6403
0.5116
STEP8
14
71.9272
0.3002
0.4370
0.5997
0.5807
0.4601
STEP8
15
79.9208
0.2596
0.4253
0.5423
0.5546
0.4196
STEP8
16
87.9144
0.2490
0.3952
0.4949
0.5449
0.3878
STEP8
17
95.9080
0.2174
0.3839
0.4581
0.4840
0.3611
STEP8
18
103.9016
0.1994
0.3194
0.4252
0.4125
0.3400
STEP8
19
111.8951
0.1801
0.3271
0.3979
0.3962
0.3210
STEP8
20
119.8887
0.1619
0.3220
0.3750
0.4097
0.3052
STEP8
21
127.8823
0.1530
0.2411
0.3534
0.3638
0.2912
STEP8
22
135.8759
0.1419
0.2723
0.3354
0.3301
0.2785
STEP8
23
143.8695
0.1281
0.2497
0.3192
0.2701
0.2678
STEP8
24
151.8631
0.1188
0.2550
0.3053
0.3113
0.2583
STEP8
25
159.8567
0.1120
0.2308
0.2918
0.2829
0.2493
42
7. Figures
Figure 2: Example simulation; 200 trials showing empirical and analytical error estimates
in good agreement.
Figure 3: Comparison of errors from two algorithms.
43
Figure 4: Uncertainty in derived countrate as a function of exposure time for all
sequences (data from Table 1) using least-squares fit of straight line.
Figure 5: Uncertainty in derived count rate for example MIF sequence and different amp
glow contributions, Tables 1 and 2.
44
Figure 6: Uncertainty in derived count rate for all sequences for the high amp glow case
showing the degradation of S/N in the detector corners due to a large number of reads,
data of Table 2.
45