Table 1: Estimation results from three methods (data from truncated-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 |
3.7381 |
3.7110 |
3.7881 |
|
3.23 |
3.2266 |
3.2176 |
3.2208 |
||
q |
0.48 |
0.5125 |
0.5119 |
0.5673 |
|
0.35 |
0.3502 |
0.3463 |
0.3209 |
||
0.3754 |
0.3889 |
0.3781 |
0.3761 |
||
0.8738 |
0.85 |
0.8915 |
0.8272 |
||
Reject H0 |
- |
0.4371 |
0.4371 |
0.4910 |
|
- |
(100,237,115) |
(100,181,109) |
(100,201,111) |
||
n1 = 70 |
5.21 |
5.2313 |
5.2381 |
5.3072 |
|
4.51 |
4.5168 |
4.5118 |
4.5115 |
||
q |
0.70 |
0.7145 |
0.7262 |
0.7958 |
|
0.74 |
0.7447 |
0.7087 |
0.6917 |
||
0.7940 |
0.8173 |
0.7829 |
0.8024 |
||
0.8378 |
0.85 |
0.8494 |
0.8103 |
||
Reject H0 |
- |
0.5489 |
0.5928 |
0.6128 |
|
- |
(140,202,145) |
(140,183,144) |
(140,194,144) |
||
n1 = 90 |
9.82 |
9.8387 |
9.8360 |
9.9123 |
|
9.04 |
9.0501 |
9.0497 |
9.0445 |
||
q |
0.78 |
0.7885 |
0.7879 |
0.8678 |
|
0.93 |
0.9263 |
0.8886 |
0.8704 |
||
0.9971 |
1.0138 |
0.9748 |
0.9986 |
||
0.8738 |
0.85 |
0.8519 |
0.8265 |
||
Reject H0 |
- |
0.6627 |
0.6786 |
0.7186 |
|
- |
(180,258,184) |
(180,285,184) |
(180,257,185) |