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Table 1 Selection of number of latent states using Latent Markov Model

From: Using Markov chain model to evaluate medical students’ trajectory on progress tests and predict USMLE step 1 scores---a retrospective cohort study in one medical school

Number of Latent States Test score ranges in each latent state AICa BICb
3 [0,45], (45,59), (59,100] 25,851.63 26,014.38
4 [0, 44], (44, 56], (56, 69], (69, 100] 25,875.68 25,991.92
5 [0, 44], (44, 55], (56, 62], (62, 71], (71, 100] 26,197.04 26,243.54
6 [0, 43], (43, 50], (50, 56], (56, 64], (64, 72], (72,100] 25,928.72 26,006.22
  1. aAIC equals − 2* loglikehood + 2* number of parameters
  2. bBIC equals − 2* loglikehood + log (number of observations)* number of parameters