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Table 2 Results of log likelihood, information criteria and goodness-of-fit measures

From: Modeling count data for health care utilization: an empirical study of outpatient visits among Vietnamese older people

Model

K

Log (L)

AIC

BIC

RMSE

MAPE

PRM

34

− 8549.928

17,167.856

17,364.852

1.856

0.531

NB1

35

− 6085.813

12,241.626

12,444.416

1.680

0.433

NB2

35

− 5942.007

11,954.016

12,156.806

1.469

0.372

HNB1

69

− 5751.954

11,641.908

12,041.694

0.491

0.184

HNB2

69

− 5698.735a

11,535.471a

11,935.257a

0.405a

0.160a

HPM

68

− 8314.001

16,764.001

17,157.993

1.818

0.485

ZIP

68

− 8332.979

16,801.958

17,195.95

1.931

0.518

ZINB2

69

− 6218.109

12,574.219

12,974.005

1.667

0.426

LCNB2

72

− 5769.265

11,682.53

12,099.698

0.905

0.253

  1. PRM stand for the Poisson regression model, NB is the negative binomial, HNB is the hurdle negative binomial, HPM represents the hurdle Poisson model, ZIP the zero-inflated Poisson, ZINB is zero-inflated negative binomial, and LCNB the latent class negative binomial. K is the number of parameters estimated for each model, Log(L) denotes log likelihood, and RMSE and MAPE stand for root mean square error and mean absolute prediction error, respectively
  2. aindicates the preferred model