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Table 4 Comparison of the OLS, SAR and GWR models for LOS in MCO and SSR facilities

From: Efficiency of fine scale and spatial regression in modelling associations between healthcare service spatial accessibility and their utilization

Predictor variables OLS SAR GWR
Coefficients Std Error Coefficients Std Error Coefficients Std Error(mean)
LOS_MCO       
 ISA_MCO − 0.161*** 0.037 0.015 0.024 [− 55.959; 8.438] 0.037
 APL_GPs − 1.065** 0.097 − 0.348*** 0.061 [− 37.882; 37.084] 0.097
 APL_Nurses 0.302*** 0.096 0.005 0.065 [− 39.567; 78.291] 0.097
 APL_Physiotherapists − 1.518*** 0.165 − 0.953*** 0.108 [− 26.147; 33.852] 0.164
 Non− Owner − 1.395*** 0.117 − 0.244*** 0.076 [− 4.631; 2.412] 0.116
 Precarious − 0.507 0.403 − 0.415 0.253 [− 13.835; 10.757] 0.39
Spatial parameters    
 Spatial Lag Coefficient ρ   0.767***  
 Bandwidth GWR    Adaptive, 0.38% nearest neighbouring IRIS
Model assessment    
 Adjusted R2 0.508 0.775 0.955
 AIC 3285.273 2238.6 539.139
 Moran’s I residuals 0.609*** 0.031* 0.086***
LOS_SSR    
 ISA_SSR 0.245*** 0.036 0.131 0.023 [− 7.808; 4.756] 4.241
 APL_GPs 0.332*** 0.096 0.034 0.06 [–33.213; 57.124] 0.931
 APL_Nurses − 1.367*** 0.09 − 0.423*** 0.063 [− 28.11; 25.561] 1.124
 APL_Physiotherapists − 1.679*** 0.165 − 1.048*** 0.108 [− 20.186; 18.678] 0.811
 Non− Owner − 1.209*** 0.114 − 0.169*** 0.073 [− 4.631; 2.412] 1.133
 Precarious − 0.491 0.384 − 0.452 0.241 [− 7.075; 9.112] 0.473
Spatial parameters    
 Spatial Lag Coefficient ρ   0.764***  
 Bandwidth GWR    Adaptive, 0.52% nearest neighbouring IRIS
Model assessment    0.931
 Adjusted R2 0.485 0.769 939.464
 AIC 3255.05 2181.912 0.131***
 Moran’s I residuals 0.611*** 0.032*  
  1. ** p < 0.01; *** p < 0.001; Std Error: Standard deviation error