Table 2 Maximum likelihood estimates of the stochastic frontier models (n = 41)

Constant

β0

2.904****

6.539**

Ln (bed)

β1

0.171

0.411

Ln (doctor)

β2

11.756****

13.629****

Ln (nurse)

β3

−8.156****

−9.422****

Ln (non-medical staff)

β4

0.249

−0.311*

Ln (bed) × ln (doctor)

β12

0.444

0.385*

Ln (bed) × ln (nurse)

β13

0.600

1.052

Ln (bed) × ln (non-medical staff)

β14

−0.433

− 0.409

Ln (doctor) × ln (nurse)

β23

−4.62****

1.107**

Ln (doctor) × ln (non-medical staff)

β24

0.966

1.485****

Ln (nurse) × ln (non-medical staff)

β34

−0.2

0.777

Ln (bed) × ln (bed)

β11

−0.461

0.989**

Ln (doctor) × ln (doctor)

β22

1.88****

3.3785*

Ln (nurse) × ln (nurse)

β33

4.343*

4.24

Ln (non-medical staff) × ln (non-medical staff)

β44

−0.355

−1.005

Ln (outpatient/inpatient)

β5

−2.85****

Ln (outpatient/inpatient) × ln (bed)

β51

0.064

Ln (outpatient/inpatient) × ln (doctor)

β52

1.084****

Ln (outpatient/inpatient) × ln (nurse)

β53

0.677*

ln (outpatient/inpatient) × ln (non-medical staff)

β54

−0.270

Ln (outpatient/inpatient) x ln (outpatient /inpatient)

0.010

Variance of technical inefficiency (sigma_u2)

δu2

6.41 e − 06

5.04e-07

Variance of random error (sigma_v2)

δv2

0.0017

.0013

Sigma square (sigma2)

δs2 = δu2 + δv2

0.0017

.0013

Ln sigma square (lnsigma2)

Ln (δs2)

−6.35

−6.57

Variance ratio parameter (gamma)

ϒ = δu2/δs2

0.0036

0.00015

Inverse logit gamma (ilgtgamma) = 0

ilgt ϒ

−5.600

−7.92

mu

μ

−0.0949

−.0266

Wald Chi square (3)

χ2

489

135

Number of observations

N

41

41

Log likelihood

70

75