Table 5 Random parameter logit regression results
Variable | Kansas | North Dakota | Oklahoma | Pacific Northwest | South Dakota |
|---|---|---|---|---|---|
\({\hat{\beta }}_S\) | \(\underset{\left( 1.81\right) }{0.121^{*}}\) | \(\underset{\left( 0.70\right) }{0.049}\) | \(\underset{\left( 1.76\right) }{0.126^{*}}\) | \(\underset{\left( 2.78\right) }{0.187^{***}}\) | \(\underset{\left( 1.84\right) }{0.371^{*}}\) |
\({\hat{\beta }}_T\) | \(\underset{\left( 5.38\right) }{0.368^{***}}\) | \(\underset{\left( 2.06\right) }{0.146^{**}}\) | \(\underset{\left( 0.88\right) }{0.068}\) | \(\underset{\left( 2.92\right) }{0.211^{***}}\) | \(\underset{\left( 1.51\right) }{0.284}\) |
\({\hat{\beta }}_W\) | \(\underset{\left( 3.94\right) }{0.273^{***}}\) | \(\underset{\left( -0.59\right) }{-0.041}\) | \(\underset{\left( 0.08\right) }{0.005}\) | \(\underset{\left( 3.04\right) }{0.207^{***}}\) | \(\underset{\left( 1.07\right) }{0.195}\) |
\({\hat{\beta }}_C\) | \(\underset{\left( 7.09\right) }{0.460^{***}}\) | \(\underset{\left( 3.26\right) }{0.242^{***}}\) | \(\underset{\left( 3.02\right) }{0.185^{***}}\) | \(\underset{\left( 4.25\right) }{0.317^{***}}\) | \(\underset{\left( 2.96\right) }{0.543^{***}}\) |
\({\hat{\beta }}_R\) | \(\underset{\left( 8.53\right) }{0.060^{***}}\) | \(\underset{\left( 7.55\right) }{0.049^{***}}\) | \(\underset{\left( 4.07\right) }{0.032^{***}}\) | \(\underset{\left( 4.43\right) }{0.026^{***}}\) | \(\underset{\left( 3.09\right) }{0.059^{***}}\) |
\({\hat{\beta }}_L\) | \(\underset{\left( -5.05\right) }{-0.329^{***}}\) | \(\underset{\left( -1.25\right) }{-0.089}\) | \(\underset{\left( 0.26\right) }{0.019}\) | \(\underset{\left( -2.89\right) }{-0.199^{***}}\) | \(\underset{\left( -1.19\right) }{-0.188}\) |
\({\hat{\beta }}_I\) | \(\underset{\left( 5.63\right) }{0.396^{***}}\) | \(\underset{\left( 3.64\right) }{0.279^{***}}\) | \(\underset{\left( 3.83\right) }{0.264^{***}}\) | \(\underset{\left( 4.48\right) }{0.304^{***}}\) | \(\underset{\left( 3.00\right) }{0.577^{***}}\) |
\({\hat{\beta }}_O\) | \(\underset{\left( 3.04\right) }{0.017^{***}}\) | \(\underset{\left( 2.01\right) }{0.011^{**}}\) | \(\underset{\left( 3.60\right) }{0.022^{***}}\) | \(\underset{\left( 1.74\right) }{0.012^{*}}\) | \(\underset{\left( 0.87\right) }{0.013}\) |
\({\hat{\beta }}_G\) | \(\underset{\left( 5.84\right) }{0.390^{***}}\) | \(\underset{\left( 7.40\right) }{0.543^{***}}\) | \(\underset{\left( 2.04\right) }{0.138^{**}}\) | \(\underset{\left( 2.22\right) }{0.157^{**}}\) | \(\underset{\left( 2.32\right) }{0.504^{**}}\) |
Parameters for individual intercepts distributions | |||||
\({\hat{\beta }}_0\) | \(\underset{\left( -3.64\right) }{-1.650^{***}}\) | \(\underset{\left( -4.84\right) }{-1.696^{***}}\) | \(\underset{\left( -2.02\right) }{-1.037^{**}}\) | \(\underset{\left( -0.44\right) }{-0.618}\) | \(\underset{\left( 0.56\right) }{0.531}\) |
\({\hat{\theta }}_t\) | \(\underset{\left( 1.44\right) }{0.191}\) | \(\underset{\left( 1.31\right) }{0.399}\) | \(\underset{\left( -2.92\right) }{-0.552^{***}}\) | \(\underset{\left( -1.62\right) }{-0.244}\) | \(\underset{\left( -2.34\right) }{-0.819^{**}}\) |
\({\hat{\theta }}_1\) | \(\underset{\left( 0.71\right) }{0.309}\) | \(\underset{\left( 2.06\right) }{0.615^{**}}\) | \(\underset{\left( -0.43\right) }{-0.194}\) | \(\underset{\left( -0.19\right) }{-0.278}\) | \(\underset{\left( -0.84\right) }{-0.774}\) |
\({\hat{\theta }}_2\) | \(\underset{\left( -0.75\right) }{-0.345}\) | \(\underset{\left( 0.76\right) }{0.223}\) | \(\underset{\left( -0.23\right) }{-0.108}\) | \(\underset{\left( -0.12\right) }{-0.169}\) | \(\underset{\left( -1.70\right) }{-1.551^{*}}\) |
\({\hat{\theta }}_3\) | \(\underset{\left( -0.70\right) }{-0.294}\) | \(\underset{\left( 1.25\right) }{0.400}\) | \(\underset{\left( -0.20\right) }{-0.097}\) | \(\underset{\left( -0.03\right) }{-0.048}\) | \(\underset{\left( -2.14\right) }{-2.127^{**}}\) |
\({\hat{\theta }}_4\) | \(\underset{\left( 0.37\right) }{0.152}\) | \(\underset{\left( -0.96\right) }{-0.316}\) | \(\underset{\left( -0.32\right) }{-0.445}\) | \(\underset{\left( -1.85\right) }{-1.715^{*}}\) | |
\({\hat{\theta }}_5\) | \(\underset{\left( 3.21\right) }{0.467^{***}}\) | \(\underset{\left( -0.07\right) }{-0.103}\) | \(\underset{\left( -2.10\right) }{-2.004^{**}}\) | ||
\({\hat{\sigma }}\) | \(\underset{\left( 13.55\right) }{1.803^{***}}\) | \(\underset{\left( 10.40\right) }{1.196^{***}}\) | \(\underset{\left( 0.01\right) }{0.001}\) | \(\underset{\left( 9.09\right) }{1.000^{***}}\) | \(\underset{\left( 5.46\right) }{1.744^{***}}\) |
Number of individuals | 287 | 189 | 141 | 192 | 52 |
Number of observations | 1,148 | 756 | 564 | 768 | 208 |