Table 2 The 95% CIs for the regression coefficients under the normal-logistic Fay-Herriot model
| Â | 95% credible interval | ||||
|---|---|---|---|---|---|
Coefficient | Auxiliary variables | Posterior mean | SD | Lower limit | Upper limit |
\(\beta_{0}\) | Constant | -2.75 | 22.53 | -46.43 | 41.00 |
\(\beta_{1}\) | Age category more than 44Â years | -24.43 | 13.41 | -50.51 | 2.73 |
\(\beta_{2}\) | Urban | -0.40 | 1.49 | -3.29 | 2.52 |
\(\beta_{3}\) | Female | -5.13 | 3.50 | -11.99 | 1.80 |
\(\beta_{4}\) | Not disabled | 14.29 | 22.93 | -31.21 | 58.92 |
\(\beta_{5}\) | Married | -4.56 | 2.28 | -9.07 | -0.095 |
\(\beta_{6}\) | Nunber of children more than five | 4.19 | 1.73 | 0.75 | 7.65 |
\(\beta_{7}\) | Government employement | -5.40 | 3.59 | -12.44 | 1.64 |
\(\beta_{8}\) | Primary level of education | -0.68 | 2.09 | -3.39 | 4.75 |