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Table 3 Spearman’s rho correlation, intraclass correlation coefficient (ICC) and information based measure of disagreement (IBMD) between efficiency scores of stochastic frontier models of health system efficiency using healthy life expectancy (HALE) at birth and HALE at 65 years old as outputs, in 2015 for 188 countries

From: Should we adjust health expenditure for age structure on health systems efficiency? A worldwide analysis

 

HALE at birth

HALE at 65 years-old

Model 1

Model 2

Model 3

Model 4

Model 5

Model 1

Model 2

Model 3

Model 4

Model 5

 

Spearman’s r (95% CI)

Spearman’s r (95% CI)

Model 1

 

0.981 (0.970–0.987)

0.796

(0.717–0.854)

0.722

(0.619–0.798)

0.871

(0.811–0.914)

 

0.986

(0.978–0.990)

0.929

(0.896–0.953)

0.814

(0.740–0.866)

0.946

(0.924–0.959)

Model 2

  

0.732

(0.636–0.804)

0.674

(0.570–0.758)

0.779

(0.694–0.840)

  

0.876

(0.828–0.911)

0.786

(0.715–0.845)

0.888

(0.850–0.916)

Model 3

   

0.884

(0.835–0.916)

0.858

(0.806–0.897)

   

0.864

(0.810–0.906)

0.970

(0.944–0.983)

Model 4

    

0.766

(0.677–0.828)

    

0.834

(0.768–0.885)

 

ICC (95% CI)

ICC (95% CI)

Model 1

 

0.986

(0.944–0.994)

0.852

(0.728–0.911)

0.809

(0.587–0.896)

0.931

(0.897–0.953)

 

0.988

(0.964–0.994)

0.852

(0.717–0.913)

0.800

(0.709–0.859)

0.890

(0.736–0.943)

Model 2

  

0.783

(0.566–0.877)

0.741

(0.422–0.864)

0.868

(0.769–0.918)

  

0.782

(0.574–0.874)

0.751

(0.606–0.836)

0.820

(0.588–0.905)

Model 3

   

0.942

(0.919–0.958)

0.925

(0.883–0.949)

   

0.887

(0.852–0.914)

0.969

(0.958–0.976)

Model 4

    

0.870

(0.764–0.921)

    

0.850

(0.804–0.885)

 

IBMD (95% CI)

IBMD (95% CI)

Model 1

 

0.011

(0.010–0.012)

0.027

(0.023–0.030)

0.031

(0.027–0.034)

0.020

(0.018–0.022)

 

0.014

(0.012–0.015)

0.030

(0.024–0.036)

0.040

(0.034–0.047)

0.031

(0.027–0.036)

Model 2

  

0.034

(0.030–0.038)

0.038

(0.033–0.042)

0.028

(0.026–0.033)

  

0.042

(0.036–0.049)

0.047

(0.041–0.055)

0.044

(0.037–0.049)

Model 3

   

0.014

(0.012–0.016)

0.019

(0.017–0.021)

   

0.030

(0.026–0.034)

0.012

(0.010–0.014)

Model 4

    

0.024

(0.021–0.026)

    

0.034

(0.029–0.039)