DISTRICT ST_NM_x ST_CEN_CD_x DT_CEN_CD_x censuscode_x \ 0 Bankura West Bengal 19 13 339 1 Barddhaman West Bengal 19 9 335 ======================== OLS RESULTS ======================== OLS Regression Results ============================================================================== Dep. Variable: Weibull_A R-squared: 0.809 Model: OLS Adj. R-squared: 0.714 Method: Least Squares F-statistic: 8.479 Date: Thu, 04 Jun 2026 Prob (F-statistic): 0.000947 Time: 21:22:53 Log-Likelihood: -6.3061 No. Observations: 19 AIC: 26.61 Df Residuals: 12 BIC: 33.22 Df Model: 6 Covariance Type: nonrobust ============================================================================== coef std err t P>|t| [0.025 0.975] ------------------------------------------------------------------------------ const 5.1431 0.284 18.133 0.000 4.525 5.761 Builtup -0.0007 0.006 -0.111 0.913 -0.015 0.013 Trees -0.0266 0.007 -3.551 0.004 -0.043 -0.010 Grass -0.0937 0.345 -0.272 0.791 -0.845 0.658 Shrub 0.0477 0.037 1.280 0.225 -0.034 0.129 Bare -0.2586 0.118 -2.192 0.049 -0.516 -0.002 FloodedVeg 0.5861 0.209 2.801 0.016 0.130 1.042 ============================================================================== Omnibus: 1.251 Durbin-Watson: 1.982 Prob(Omnibus): 0.535 Jarque-Bera (JB): 0.937 Skew: 0.514 Prob(JB): 0.626 Kurtosis: 2.645 Cond. No. 133. ============================================================================== ======================== VIF ======================== Variable VIF 0 const 8.488994 1 Builtup 1.292215 2 Trees 1.911993 3 Grass 2.626890 4 Shrub 1.601395 5 Bare 1.834682 6 FloodedVeg 1.600341 ======================== MORAN'S I ======================== I = 0.7231395518407335 p-value = 0.001 ======================== SAR MODEL ======================== REGRESSION RESULTS ------------------ SUMMARY OF OUTPUT: MAXIMUM LIKELIHOOD SPATIAL LAG (METHOD = FULL) ----------------------------------------------------------------- Data set : unknown Weights matrix : unknown Dependent Variable : Weibull_A Number of Observations: 19 Mean dependent var : 4.4809 Number of Variables : 8 S.D. dependent var : 0.7930 Degrees of Freedom : 11 Pseudo R-squared : 0.9253 Spatial Pseudo R-squared: 0.8212 Log likelihood : 1.0809 Sigma-square ML : 0.0447 Akaike info criterion : 13.838 S.E of regression : 0.2113 Schwarz criterion : 21.394 ------------------------------------------------------------------------------------ Variable Coefficient Std.Error z-Statistic Probability ------------------------------------------------------------------------------------ CONSTANT 2.17127 0.59921 3.62353 0.00029 Builtup -0.00465 0.00320 -1.45348 0.14609 Trees -0.02066 0.00421 -4.90357 0.00000 Grass -0.26034 0.18065 -1.44112 0.14955 Shrub 0.02258 0.01876 1.20342 0.22881 Bare 0.03811 0.08006 0.47596 0.63411 FloodedVeg 0.39345 0.10695 3.67896 0.00023 W_Weibull_A 0.62831 0.11541 5.44393 0.00000 ------------------------------------------------------------------------------------ SPATIAL LAG MODEL IMPACTS Impacts computed using the 'simple' method. Variable Direct Indirect Total Builtup -0.0047 -0.0079 -0.0125 Trees -0.0207 -0.0349 -0.0556 Grass -0.2603 -0.4401 -0.7004 Shrub 0.0226 0.0382 0.0607 Bare 0.0381 0.0644 0.1025 FloodedVeg 0.3935 0.6651 1.0585 ================================ END OF REPORT ===================================== ======================== SEM MODEL ======================== REGRESSION RESULTS ------------------ SUMMARY OF OUTPUT: ML SPATIAL ERROR (METHOD = full) --------------------------------------------------- Data set : unknown Weights matrix : unknown Dependent Variable : Weibull_A Number of Observations: 19 Mean dependent var : 4.4809 Number of Variables : 7 S.D. dependent var : 0.7930 Degrees of Freedom : 12 Pseudo R-squared : 0.5984 Log likelihood : 6.2972 Sigma-square ML : 0.0169 Akaike info criterion : 1.406 S.E of regression : 0.1299 Schwarz criterion : 8.017 ------------------------------------------------------------------------------------ Variable Coefficient Std.Error z-Statistic Probability ------------------------------------------------------------------------------------ CONSTANT 5.25040 0.55864 9.39856 0.00000 Builtup -0.01060 0.00279 -3.79653 0.00015 Trees -0.02681 0.00254 -10.55923 0.00000 Grass -0.04069 0.09395 -0.43316 0.66489 Shrub 0.01283 0.01503 0.85388 0.39317 Bare -0.02340 0.04992 -0.46873 0.63926 FloodedVeg 0.28090 0.07933 3.54090 0.00040 lambda 0.94480 0.03481 27.14304 0.00000 ------------------------------------------------------------------------------------ ================================ END OF REPORT ===================================== ======================== SPATIAL DURBIN MODEL ======================== REGRESSION RESULTS ------------------ SUMMARY OF OUTPUT: SPATIAL TWO STAGE LEAST SQUARES WITH SLX (SPATIAL DURBIN MODEL) ---------------------------------------------------------------------------------- Data set : unknown Weights matrix : unknown Dependent Variable : Weibull_A Number of Observations: 19 Mean dependent var : 4.4809 Number of Variables : 14 S.D. dependent var : 0.7930 Degrees of Freedom : 5 Pseudo R-squared : 0.9871 Spatial Pseudo R-squared: omitted due to rho outside the boundary (-1, 1). ------------------------------------------------------------------------------------ Variable Coefficient Std.Error z-Statistic Probability ------------------------------------------------------------------------------------ CONSTANT -2.24625 1.09108 -2.05875 0.03952 Builtup -0.01110 0.00355 -3.12630 0.00177 Trees -0.02487 0.00204 -12.17762 0.00000 Grass -0.19853 0.10987 -1.80690 0.07078 Shrub 0.01946 0.01608 1.21044 0.22611 Bare 0.03837 0.04129 0.92927 0.35275 FloodedVeg 0.16466 0.08029 2.05080 0.04029 W_Builtup 0.00943 0.00793 1.18936 0.23430 W_Trees 0.04109 0.00579 7.09105 0.00000 W_Grass -0.10910 0.35206 -0.30990 0.75664 W_Shrub -0.13281 0.04791 -2.77177 0.00558 W_Bare 0.18372 0.14804 1.24103 0.21460 W_FloodedVeg -0.76291 0.35095 -2.17386 0.02972 W_Weibull_A 1.50024 0.24398 6.14897 0.00000 ------------------------------------------------------------------------------------ Instrumented: W_Weibull_A Instruments: W2_Bare, W2_Builtup, W2_FloodedVeg, W2_Grass, W2_Shrub, W2_Trees Warning: *** WARNING: Estimate for spatial lag coefficient is outside the boundary (-1, 1). *** DIAGNOSTICS FOR SPATIAL DEPENDENCE TEST DF VALUE PROB Anselin-Kelejian Test 1 2.466 0.1164 Common Factor Hypothesis Test 6 11.233 0.0815 SPATIAL DURBIN MODEL IMPACTS Omitted since spatial autoregressive parameter is outside the boundary (-1, 1). ================================ END OF REPORT =====================================