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. webuse school,clear
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. *Bivariate probit regression
. biprobit private vote logptax loginc years
Fitting comparison equation 1:
Iteration 0: log likelihood = -31.967097
Iteration 1: log likelihood = -31.452424
Iteration 2: log likelihood = -31.448958
Iteration 3: log likelihood = -31.448958
Fitting comparison equation 2:
Iteration 0: log likelihood = -63.036914
Iteration 1: log likelihood = -58.534843
Iteration 2: log likelihood = -58.497292
Iteration 3: log likelihood = -58.497288
Comparison: log likelihood = -89.946246
Fitting full model:
Iteration 0: log likelihood = -89.946246
Iteration 1: log likelihood = -89.258897
Iteration 2: log likelihood = -89.254028
Iteration 3: log likelihood = -89.254028
Bivariate probit regression Number of obs = 95
Wald chi2(6) = 9.59
Log likelihood = -89.254028 Prob > chi2 = 0.1431
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| Coef. Std. Err. z P>|z| [95% Conf. Interval]
-------------+----------------------------------------------------------------
private |
logptax | -.1066962 .6669782 -0.16 0.873 -1.413949 1.200557
loginc | .3762037 .5306484 0.71 0.478 -.663848 1.416255
years | -.0118884 .0256778 -0.46 0.643 -.0622159 .0384391
_cons | -4.184694 4.837817 -0.86 0.387 -13.66664 5.297253
-------------+----------------------------------------------------------------
vote |
logptax | -1.288707 .5752266 -2.24 0.025 -2.416131 -.1612839
loginc | .998286 .4403565 2.27 0.023 .1352031 1.861369
years | -.0168561 .0147834 -1.14 0.254 -.0458309 .0121188
_cons | -.5360573 4.068509 -0.13 0.895 -8.510188 7.438073
-------------+----------------------------------------------------------------
/athrho | -.2764525 .2412099 -1.15 0.252 -.7492153 .1963102
-------------+----------------------------------------------------------------
rho | -.2696186 .2236753 -.6346806 .1938267
------------------------------------------------------------------------------
Likelihood-ratio test of rho=0: chi2(1) = 1.38444 Prob > chi2 = 0.2393
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. margins,predict(p00) dydx(*)
Average marginal effects Number of obs = 95
Model VCE : OIM
Expression : Pr(private=0,vote=0), predict(p00)
dy/dx w.r.t. : logptax loginc years
------------------------------------------------------------------------------
| Delta-method
| dy/dx Std. Err. z P>|z| [95% Conf. Interval]
-------------+----------------------------------------------------------------
logptax | .408256 .1671983 2.44 0.015 .0805534 .7359587
loginc | -.3410811 .1279006 -2.67 0.008 -.5917616 -.0904006
years | .0062274 .00479 1.30 0.194 -.0031609 .0156157
------------------------------------------------------------------------------
. margins,predict(p01) dydx(*)
Average marginal effects Number of obs = 95
Model VCE : OIM
Expression : Pr(private=0,vote=1), predict(p01)
dy/dx w.r.t. : logptax loginc years
------------------------------------------------------------------------------
| Delta-method
| dy/dx Std. Err. z P>|z| [95% Conf. Interval]
-------------+----------------------------------------------------------------
logptax | -.3891093 .1823773 -2.13 0.033 -.7465622 -.0316564
loginc | .2735708 .1424442 1.92 0.055 -.0056147 .5527563
years | -.004094 .0053094 -0.77 0.441 -.0145002 .0063122
------------------------------------------------------------------------------
. margins,predict(p10) dydx(*)
Average marginal effects Number of obs = 95
Model VCE : OIM
Expression : Pr(private=1,vote=0), predict(p10)
dy/dx w.r.t. : logptax loginc years
------------------------------------------------------------------------------
| Delta-method
| dy/dx Std. Err. z P>|z| [95% Conf. Interval]
-------------+----------------------------------------------------------------
logptax | .0426078 .0636357 0.67 0.503 -.0821158 .1673314
loginc | -.0081767 .0477444 -0.17 0.864 -.1017541 .0854006
years | -.0003302 .002303 -0.14 0.886 -.004844 .0041836
------------------------------------------------------------------------------
. margins,predict(p11) dydx(*)
Average marginal effects Number of obs = 95
Model VCE : OIM
Expression : Pr(private=1,vote=1), predict(p11)
dy/dx w.r.t. : logptax loginc years
------------------------------------------------------------------------------
| Delta-method
| dy/dx Std. Err. z P>|z| [95% Conf. Interval]
-------------+----------------------------------------------------------------
logptax | -.0617546 .0669554 -0.92 0.356 -.1929848 .0694757
loginc | .075687 .0570423 1.33 0.185 -.0361138 .1874878
years | -.0018032 .0025059 -0.72 0.472 -.0067147 .0031083
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