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Table 3 Comparisons across all models using LL, AIC and BIC.

From: Count data models for outpatient health services utilisation

Test statistic

Model

OLS

Poisson

Negative Binomial (NB)

ZIP

MZINB*

Hurdle (Probit & NB)

LLa

-11,743

-5,186

-4,608

-1,698

-1,680

-5,624

AICa

23,541

10,425

9,272

3,455

3,420

11,355

BICa

23,740

10,624

9,478

3,668

3,641

11,753

RMSEa

0.5184

0.5169

0.5179

0.3547

0.3548

0.5178

R2a

0.0368

0.0785

0.0553

0.6979

0.6974

0.0537

Vuong testb

      

Uncorrected

-

-

-

1259.9c

1984.8c

-

AIC

-

-

-

1259.9c

1984.8c

-

BIC

-

-

-

1259.9c

1984.8c

-

  1. Notes : Abbreviation: LL = log likelihood; AIC = Akaike’s information criterion; BIC = Bayesian information criterion; RMSE = root mean square error, R2 = r-square
  2. a Lower LL, AIC, and BIC were preferred. Lower RMSE and higher R2 values indicate lesser prediction errors
  3. b Positive Vuong statistics value indicates zero-inflated model is more appropriate than conventional
  4. c Statistical significance at p < 0.001
  5. * indicates preferred model