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. Author manuscript; available in PMC: 2023 Jun 11.
Published in final edited form as: Stat Med. 2021 Apr 12;40(15):3460–3476. doi: 10.1002/sim.8977

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.