TABLE 4.
Classification probabilities and SE for simulations
| Method A | Method C | ||||||||
|---|---|---|---|---|---|---|---|---|---|
|
|
|||||||||
| With misclassification | Without partial | ||||||||
|
|
|||||||||
| True state | Class. state | Truth | N | Bias | SE | MSE | Bias | SE | MSE |
| (0,0,0) | (0,0,0) | 0.925 | 2988 | −0.002 | 0.019 | 3e-04 | 0.011 | 0.121 | 0.0147 |
| (0,1,0) | (0,1,0) | 0.506 | 1324 | −0.005 | 0.05 | 0.0024 | −0.018 | 0.275 | 0.0759 |
| (0,2,0) | (0,2,0) | 0.025 | 13 | −0.002 | 0.012 | 1e-04 | −0.16 | 0.161 | 0.0511 |
| (1,0,0) | (1,0,0) | 0.901 | 572 | −0.006 | 0.043 | 0.0018 | 0.099 | 0.202 | 0.0505 |
| (1,1,0) | (1,1,0) | 0.737 | 243 | −0.008 | 0.075 | 0.0052 | 0.003 | 0.375 | 0.1397 |
| (1,2,0) | (1,2,0) | 0.484 | 71 | −0.049 | 0.224 | 0.0507 | 0.136 | 0.458 | 0.2296 |
| (2,0,0) | (2,0,0) | 0.873 | 444 | −0.014 | 0.065 | 0.0043 | 0.13 | 0.321 | 0.1197 |
| (2,1,0) | (2,1,0) | 0.952 | 799 | −0.003 | 0.05 | 0.0025 | 0.034 | 0.179 | 0.0333 |
| (2,2,0) | (2,2,0) | 0.392 | 42 | −0.044 | 0.156 | 0.0236 | −0.407 | 0.298 | 0.2548 |
| (0,0,1) | (0,0,1) | 0.039 | 10 | 0.007 | 0.04 | 0.0016 | −0.003 | 0.088 | 0.0076 |
| (0,1,1) | (0,1,1) | 0.016 | 41 | 0.002 | 0.008 | 1e-04 | −0.007 | 0.023 | 6e-04 |
| (0,2,1) | (0,2,1) | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| (1,0,1) | (1,0,1) | 0.038 | 19 | −0.012 | 0.058 | 0.0034 | −0.018 | 0.131 | 0.0174 |
| (1,1,1) | (1,1,1) | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 |
| (1,2,1) | (1,2,1) | 0.301 | 142 | −0.154 | 0.144 | 0.0438 | −0.429 | 0.283 | 0.2631 |
| (2,0,1) | (2,0,1) | 0.144 | 122 | 0.005 | 0.047 | 0.0022 | 0.031 | 0.068 | 0.0055 |
| (2,1,1) | (2,1,1) | 0.43 | 280 | −0.016 | 0.155 | 0.024 | 0.126 | 0.251 | 0.0786 |
| (2,2,1) | (2,2,1) | 0.365 | 34 | 0.041 | 0.121 | 0.0144 | −0.029 | 0.212 | 0.0457 |
Note: State tuples correspond to (HPV, cytology, colposcopy). State (2,1,0) corresponds to HPV 2, cytology 1, and colposcopy 0. Method A is the proposed method with misclassification and C is an HMM where the partially observed data are discarded.
indicates that the 95% CI for the estimated bias does not include zero. N is the average number of individuals with each state from time 1 to n.
Abbreviations: HMM, hidden Markov model; HPV, human papillomavirus.