Table 3: Comparison in different scales (Skewed-normal).
prev = 0.55, sen = spec = 0.85, ω0 = 0.85, EF = 0.81
Setups |
Parameters |
True |
Empirical |
NP Bayes |
MLE (EM) |
n1 = 50 |
3.71 |
3.7335 |
3.7068 |
3.7802 |
|
3.23 |
3.2273 |
3.2192 |
3.2242 |
||
q |
0.48 |
0.5062 |
0.5059 |
0.5560 |
|
α = 1 |
0.35 |
0.3476 |
0.3440 |
0.3214 |
|
|
0.3754 |
0.3853 |
0.3751 |
0.3746 |
|
0.8738 |
0.85 |
0.8918 |
0.8357 |
||
Reject H0 |
- |
0.4391 |
0.4691 |
0.4750 |
|
- |
(100,252,116) |
(100,202,110) |
(100,232,113) |
||
3.71 |
3.7344 |
3.7076 |
3.7714 |
||
3.23 |
3.2271 |
3.2190 |
3.2305 |
||
q |
0.48 |
0.5073 |
0.5070 |
0.5409 |
|
0.35 |
0.3489 |
0.3452 |
0.3282 |
||
0.3754 |
0.3868 |
0.3763 |
0.3775 |
||
0.8738 |
0.85 |
0.8969 |
0.8701 |
||
Reject H0 |
- |
0.4511 |
0.4810 |
0.4451 |
|
- |
(100,253,123) |
(100,235,116) |
(100,251,116) |
||
3.71 |
3.7347 |
3.7079 |
3.7528 |
||
3.23 |
3.2269 |
3.2188 |
3.2313 |
||
q |
0.48 |
0.5078 |
0.5075 |
0.5214 |
|
0.35 |
0.3494 |
0.3456 |
0.3322 |
||
0.3754 |
0.3873 |
0.3768 |
0.3757 |
||
0.8738 |
0.85 |
0.8986 |
0.8933 |
||
Reject H0 |
- |
0.4511 |
0.4850 |
0.4291 |
|
- |
(100,294,126) |
(100,199,117) |
(100,242,116) |
||
3.71 |
3.7348 |
3.7080 |
3.7526 |
||
3.23 |
3.2268 |
3.2187 |
3.2314 |
||
q |
0.48 |
0.5080 |
0.5077 |
0.5212 |
|
0.35 |
0.3495 |
0.3457 |
0.3326 |
||
0.3754 |
0.3875 |
0.3770 |
0.3754 |
||
0.8738 |
0.85 |
0.8988 |
0.8969 |
||
Reject H0 |
- |
0.4511 |
0.4790 |
0.4271 |
|
- |
(100,301,125) |
(100,200,116) |
(100,246,116) |
||
3.71 |
3.7331 |
3.7064 |
3.7880 |
||
3.23 |
3.2274 |
3.2193 |
3.2207 |
||
q |
0.48 |
0.5057 |
0.5054 |
0.5674 |
|
0.35 |
0.3468 |
0.3433 |
0.3182 |
||
0.3754 |
0.3845 |
0.3744 |
0.3731 |
||
0.8738 |
0.85 |
0.8911 |
0.8193 |
||
Reject H0 |
- |
0.4251 |
0.4711 |
0.4910 |
|
- |
(100,221,114) |
(100,177,109) |
(100,221,111) |
||
3.71 |
3.7320 |
3.7053 |
3.7908 |
||
3.23 |
3.2277 |
3.2196 |
3.2104 |
||
q |
0.48 |
0.5043 |
0.5041 |
0.5804 |
|
0.35 |
0.3453 |
0.3420 |
0.3133 |
||
0.3754 |
0.3829 |
0.3730 |
0.3662 |
||
0.8738 |
0.85 |
0.8901 |
0.8124 |
||
Reject H0 |
- |
0.4052 |
0.4551 |
0.5549 |
|
- |
(100,203,111) |
(100,212,109) |
(100,217,108) |
||
3.71 |
3.7317 |
3.7050 |
3.7991 |
||
3.23 |
3.2277 |
3.2196 |
3.2067 |
||
q |
0.48 |
0.5040 |
0.5038 |
0.5924 |
|
0.35 |
0.3449 |
0.3416 |
0.3101 |
||
0.3754 |
0.3825 |
0.3726 |
0.3654 |
||
0.8738 |
0.85 |
0.8903 |
0.8040 |
||
Reject H0 |
- |
0.4132 |
0.4611 |
0.6008 |
|
- |
(100,195,111) |
(100,180,108) |
(100,211,109) |
||
3.71 |
3.7316 |
3.7049 |
3.8008 |
||
3.23 |
3.2277 |
3.2195 |
3.2056 |
||
q |
0.48 |
0.5039 |
0.5037 |
0.5952 |
|
0.35 |
0.3448 |
0.3415 |
0.3092 |
||
0.3754 |
0.3824 |
0.3725 |
0.3651 |
||
0.8738 |
0.85 |
0.8905 |
0.8017 |
||
Reject H0 |
- |
0.4132 |
0.4691 |
0.6048 |
|
- |
(100,194,110) |
(100,182,108) |
(100,200,109) |