Hi, Lorenzo,
Thanks for your reply !
I followed your suggestion : increase the range of nsig and nbkg, but doesn’t change the results much.
Also, I have printed some outputs and found many of values of the unconditional ML and conditional ML are same. For the different values, the variance of unconnd ML and cond ML are very small.
And these kinds of equivalence happens both to Null and Alt tests.
Do you have any comments on this feature ?
I copied some of them in the following.
Best,
Junhui
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1424.95, cond ML = -1424.95 pll = -1.92654e-06 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1645.09, cond ML = -1645.09 pll = -1.97819e-06 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1784.41, cond ML = -1784.41 pll = -1.04294e-08 time (create/fit1/2) 0.01 , 0.04 , 0.01
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1467.36, cond ML = -1467.36 pll = -2.12703e-07 time (create/fit1/2) 0.01 , 0.04 , 0.01
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1611.78, cond ML = -1611.98 pll = -0.202786 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1493.81, cond ML = -1494.03 pll = -0.227407 time (create/fit1/2) 0.01 , 0.04 , 0.01
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1388.86, cond ML = -1388.86 pll = -1.42534e-07 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1547.4, cond ML = -1547.4 pll = -1.37822e-06 time (create/fit1/2) 0 , 0.05 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1497.9, cond ML = -1497.97 pll = -0.0639473 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1530.88, cond ML = -1530.88 pll = -2.9695e-09 time (create/fit1/2) 0 , 0.04 , 0.01
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1457.61, cond ML = -1457.95 pll = -0.33543 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1484.86, cond ML = -1484.86 pll = -1.74151e-07 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1422.59, cond ML = -1422.88 pll = -0.292332 time (create/fit1/2) 0.01 , 0.03 , 0.01
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1490.92, cond ML = -1491.07 pll = -0.149959 time (create/fit1/2) 0.01 , 0.04 , 0.01
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1487.1, cond ML = -1487.1 pll = -8.32949e-08 time (create/fit1/2) 0 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1499.49, cond ML = -1499.49 pll = -1.03323e-06 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1540.83, cond ML = -1540.83 pll = -0.00166172 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1470.25, cond ML = -1470.25 pll = -1.2597e-07 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1569.26, cond ML = -1569.26 pll = -1.29606e-05 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1541.62, cond ML = -1541.87 pll = -0.24377 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1797.61, cond ML = -1797.61 pll = -1.74889e-08 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1488.91, cond ML = -1489 pll = -0.0936852 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1747.36, cond ML = -1747.48 pll = -0.121815 time (create/fit1/2) 0.01 , 0.05 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1693.96, cond ML = -1694.22 pll = -0.262019 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1610.51, cond ML = -1610.51 pll = -2.31365e-07 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1594.54, cond ML = -1594.6 pll = -0.0606269 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1747.85, cond ML = -1747.85 pll = -0.00526239 time (create/fit1/2) 0.01 , 0.05 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1667.33, cond ML = -1667.33 pll = -3.48655e-09 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1462.14, cond ML = -1462.26 pll = -0.118133 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1674.47, cond ML = -1674.62 pll = -0.148551 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1571.61, cond ML = -1571.72 pll = -0.106181 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1669.75, cond ML = -1669.84 pll = -0.0923667 time (create/fit1/2) 0.01 , 0.04 , 0.01
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1723.34, cond ML = -1723.34 pll = -3.57213e-08 time (create/fit1/2) 0 , 0.05 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1540.48, cond ML = -1540.79 pll = -0.311868 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1700.76, cond ML = -1700.76 pll = -1.25178e-08 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1596.52, cond ML = -1596.52 pll = -5.20363e-08 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1809.66, cond ML = -1810.02 pll = -0.363933 time (create/fit1/2) 0.01 , 0.05 , 0
EvaluateProfileLikelihood - mu hat = 0.0539556, uncond ML = -1462.69, cond ML = -1462.69 pll = -5.49593e-07 time (create/fit1/2) 0.01 , 0.03 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1495.01, cond ML = -1495.01 pll = -4.67189e-06 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1500.52, cond ML = -1500.62 pll = -0.100682 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1390.18, cond ML = -1390.27 pll = -0.0849392 time (create/fit1/2) 0 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1447, cond ML = -1447 pll = -5.38332e-07 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1649.78, cond ML = -1649.89 pll = -0.108303 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1482.83, cond ML = -1482.84 pll = -0.0120152 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1269.56, cond ML = -1269.56 pll = -2.71023e-07 time (create/fit1/2) 0.01 , 0.03 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1467.11, cond ML = -1467.11 pll = -1.80545e-07 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1448.01, cond ML = -1448.12 pll = -0.102854 time (create/fit1/2) 0 , 0.04 , 0.01
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1408.75, cond ML = -1408.93 pll = -0.179063 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1580.5, cond ML = -1580.54 pll = -0.0493003 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1550.11, cond ML = -1550.14 pll = -0.0396728 time (create/fit1/2) 0.01 , 0.04 , 0.01
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1558, cond ML = -1558.2 pll = -0.201165 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1529.55, cond ML = -1529.55 pll = -1.32398e-07 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1494.77, cond ML = -1494.99 pll = -0.22595 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1517.94, cond ML = -1518.01 pll = -0.0646316 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1523.17, cond ML = -1523.17 pll = -6.06633e-10 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1490.53, cond ML = -1490.53 pll = -6.45668e-08 time (create/fit1/2) 0 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1326.22, cond ML = -1326.27 pll = -0.0464099 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1476.18, cond ML = -1476.18 pll = -2.15153e-06 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1515.28, cond ML = -1515.4 pll = -0.119278 time (create/fit1/2) 0 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1526.3, cond ML = -1526.37 pll = -0.0724035 time (create/fit1/2) 0.01 , 0.04 , 0.01
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1480.59, cond ML = -1480.59 pll = -1.4335e-07 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1622.5, cond ML = -1622.82 pll = -0.318874 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1516.98, cond ML = -1517.07 pll = -0.0884966 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1676.62, cond ML = -1676.62 pll = -2.21894e-09 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1427.98, cond ML = -1427.98 pll = -2.17144e-06 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1647.98, cond ML = -1647.98 pll = -1.96687e-06 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1446.43, cond ML = -1446.43 pll = -5.7142e-07 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1214.93, cond ML = -1214.93 pll = -5.28647e-07 time (create/fit1/2) 0 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1540.38, cond ML = -1540.38 pll = -1.42081e-07 time (create/fit1/2) 0 , 0.05 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1471.77, cond ML = -1471.77 pll = -4.63449e-05 time (create/fit1/2) 0.01 , 0.04 , 0.01
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1453.91, cond ML = -1453.91 pll = -4.10842e-07 time (create/fit1/2) 0 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1515.23, cond ML = -1515.42 pll = -0.187382 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1341.65, cond ML = -1341.65 pll = -6.51226e-05 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1663.05, cond ML = -1663.05 pll = -2.47474e-09 time (create/fit1/2) 0 , 0.05 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1746.94, cond ML = -1747.14 pll = -0.202195 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1677.29, cond ML = -1677.44 pll = -0.151512 time (create/fit1/2) 0.01 , 0.05 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1530.19, cond ML = -1530.19 pll = -1.40972e-10 time (create/fit1/2) 0 , 0.04 , 0.01
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1456.74, cond ML = -1456.82 pll = -0.0837261 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1481.6, cond ML = -1481.6 pll = -1.50405e-07 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1395.56, cond ML = -1395.56 pll = -1.06705e-07 time (create/fit1/2) 0.01 , 0.03 , 0.01
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1643.04, cond ML = -1643.04 pll = -1.77313e-06 time (create/fit1/2) 0.01 , 0.05 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1631.21, cond ML = -1631.21 pll = -6.27409e-07 time (create/fit1/2) 0 , 0.05 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1391.04, cond ML = -1391.04 pll = -2.76928e-05 time (create/fit1/2) 0.01 , 0.02 , 0.01
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1419.56, cond ML = -1419.62 pll = -0.0568417 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1682.35, cond ML = -1682.35 pll = -5.3119e-09 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1590.32, cond ML = -1590.32 pll = -4.55814e-08 time (create/fit1/2) 0.01 , 0.05 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1435.68, cond ML = -1435.78 pll = -0.097925 time (create/fit1/2) 0 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1313.51, cond ML = -1313.62 pll = -0.10937 time (create/fit1/2) 0.01 , 0.03 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1506.57, cond ML = -1506.57 pll = -1.1389e-06 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1556.24, cond ML = -1556.44 pll = -0.200925 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1523.72, cond ML = -1523.72 pll = -1.51141e-07 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1408.68, cond ML = -1408.68 pll = -2.64321e-06 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1532.25, cond ML = -1532.25 pll = -4.82032e-11 time (create/fit1/2) 0 , 0.04 , 0.01
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1559.44, cond ML = -1559.6 pll = -0.16776 time (create/fit1/2) 0.01 , 0.05 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1321.28, cond ML = -1321.28 pll = -3.08633e-07 time (create/fit1/2) 0 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1577.85, cond ML = -1577.85 pll = -2.45184e-08 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1570.02, cond ML = -1570.32 pll = -0.307264 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1560.28, cond ML = -1560.44 pll = -0.163905 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1450.83, cond ML = -1450.9 pll = -0.073724 time (create/fit1/2) 0.01 , 0.04 , 0
EvaluateProfileLikelihood - mu hat = 0.051668, uncond ML = -1481.61, cond ML = -1481.61 pll = -1.30062e-05 time (create/fit1/2) 0 , 0.04 , 0