Table 2: Stochastic Production Frontier and Technical Efficiency Estimates
|
One Step MLE |
Fertilizer Endog. |
Two Step |
Linear Prod. Fun | |||||
|
coeff. |
t-stat |
coeff. |
t-stat |
coeff. |
t-stat |
coeff. |
t-stat | |
|
Production Frontier | ||||||||
|
constant |
4.5707 |
45.32 |
4.3215 |
87.55 |
4.6099 |
79.46 |
3.6076 |
19.59 |
|
land |
0.4941 |
25.37 |
0.5022 |
38.45 |
0.4592 |
37.15 |
0.4281 |
16.59 |
|
labor |
0.2094 |
15.17 |
0.1780 |
18.17 |
0.2417 |
28.01 |
0.3175 |
20.64 |
|
fertilizer |
0.0780 |
8.64 |
0.0782 |
52.59 |
0.0759 |
13.29 |
0.0861 |
7.59 |
|
seeds |
0.1448 |
9.38 |
0.2067 |
24.03 |
0.1606 |
19.38 |
0.1888 |
10.16 |
|
machines |
0.0624 |
14.54 |
0.1838 |
7.98 |
0.1166 |
4.47 |
0.1788 |
5.88 |
|
chemicals |
0.0792 |
2.86 |
0.0561 |
16.42 |
0.0599 |
18.35 |
0.0662 |
13.02 |
|
bullocks |
-0.0104 |
-0.96 |
0.0399 |
4.29 |
-0.0002 |
-0.02 |
0.0848 |
6.77 |
|
irrigation |
0.2132 |
5.90 |
0.3702 |
13.72 |
0.1912 |
6.82 |
0.0596 |
1.48 |
|
Efficiency Equation | ||||||||
|
constant |
4.1910 |
3.72 |
6.4290 |
3.88 |
0.5100 |
16.76 | ||
|
land owned - paddy |
0.1290 |
5.22 |
0.2433 |
8.12 |
0.0033 |
2.08 |
0.0148 |
1.31 |
|
land owned - highland |
0.1037 |
4.86 |
0.0076 |
0.13 |
0.0014 |
1.70 |
0.0066 |
1.53 |
|
household size |
-0.0540 |
-2.50 |
-0.0346 |
-0.57 |
-0.0012 |
-1.14 |
-0.0065 |
-1.04 |
|
male adults (%) |
-1.5427 |
-3.44 |
-0.7295 |
-0.97 |
0.0078 |
0.66 |
0.0503 |
0.72 |
|
female adults (%) |
-0.6098 |
-1.28 |
-0.0605 |
-0.07 |
0.0138 |
1.08 |
-0.0106 |
-0.14 |
|
ethnic group |
1.1951 |
1.91 |
0.4982 |
0.55 |
-0.0037 |
-0.24 |
-0.0278 |
-0.33 |
|
age of head |
-0.0637 |
-2.02 |
0.4624 |
0.40 |
-0.0011 |
-1.19 |
-0.0061 |
-1.13 |
|
age squared |
0.0001 |
0.51 |
-0.0489 |
-1.22 |
0.0000 |
0.44 |
0.0000 |
0.12 |
|
education of head |
-0.3590 |
-6.59 |
-0.4128 |
-3.05 |
-0.0041 |
-2.16 |
-0.0336 |
-3.00 |
|
education squared |
0.0330 |
7.23 |
0.0347 |
3.06 |
0.0005 |
3.28 |
0.0029 |
3.34 |
|
sex of head |
0.5177 |
3.74 |
0.8964 |
2.24 |
0.0123 |
2.01 |
0.0244 |
0.69 |
|
% with primary educ. |
3.0879 |
7.62 |
2.0168 |
2.73 |
0.0253 |
2.06 |
0.0395 |
0.55 |
|
bullocks owned |
0.0731 |
11.44 |
0.1100 |
0.84 |
0.0039 |
3.27 |
0.0026 |
0.38 |
|
tractors owned |
1.0970 |
2.80 |
0.6722 |
0.73 |
-0.0066 |
-0.77 |
-0.0015 |
-0.03 |
|
cattle owned |
0.3361 |
4.92 |
0.2537 |
1.42 |
0.0011 |
0.40 |
-0.0173 |
-1.12 |
|
vehicles owned |
0.1207 |
20.14 |
0.0604 |
2.27 |
0.0019 |
0.99 |
0.0056 |
0.58 |
|
% of students |
-0.9295 |
-2.33 |
-0.7754 |
-1.19 |
0.0005 |
0.04 |
0.0608 |
0.87 |
|
agricultural household |
0.8127 |
5.11 |
0.8613 |
2.16 |
0.0209 |
3.80 |
0.1145 |
3.29 |
|
fisheries and livestock |
0.0598 |
0.59 |
0.0555 |
0.23 |
-0.0139 |
-3.21 |
-0.0370 |
-1.43 |
|
employer |
0.1067 |
0.66 |
-0.0002 |
-0.49 |
0.0129 |
1.50 |
0.0403 |
0.83 |
|
govt. employee |
0.2366 |
1.99 |
-0.2799 |
-0.63 |
0.0103 |
1.73 |
0.0469 |
1.33 |
|
self employed |
1.1198 |
6.87 |
0.1930 |
0.60 |
0.0137 |
2.08 |
0.0912 |
2.22 |
|
sigma-squared |
3.7620 |
10.14 |
1.9850 |
41.788 | ||||
|
sigma-v |
0.4118 |
51.80 | ||||||
|
sigma-t |
2.2208 |
3.66 | ||||||
|
sigma-g |
1.0167 |
92.93 | ||||||
|
gamma |
0.9386 |
139.25 |
1.0457 |
151.46 | ||||
|
log likelihood |
-4836.4 |
-14285.8 |
(1) -8522.55 | |||||
|
r-squared |
(2) 0.02096 |
0.6143 | ||||||
|
no. of observations |
4811 |
4811 |
4811 |
4811 | ||||
NOTE: Estimates are not reported for the 17 district dummy variables in both equations.
55