Panel Heckman Selection Model

Sample Selection Information

{% if llf %} {% endif %}
Method: {{ method|upper }}
Total observations: {{ n_total }}
Selected observations: {{ n_selected }}
Censored observations: {{ n_censored }}
Selection rate: {{ selection_rate|percentage }}
Log-likelihood: {{ llf|number_format }}

Selection Equation (Probit)

{% for param in selection_params %} {% endfor %}
Variable Coefficient Std. Error z-stat p-value
{{ param.name }} {{ param.estimate|number_format }} {{ param.std_error|number_format }} {{ param.z_stat|number_format }} {{ param.p_value|pvalue_format }}{{ param.p_value|significance_stars }}

Outcome Equation

{% for param in outcome_params %} {% endfor %} {% if lambda_estimate %} {% endif %}
Variable Coefficient Std. Error t-stat p-value
{{ param.name }} {{ param.estimate|number_format }} {{ param.std_error|number_format }} {{ param.t_stat|number_format }} {{ param.p_value|pvalue_format }}{{ param.p_value|significance_stars }}
Inverse Mills Ratio (λ) {{ lambda_estimate|number_format }} {{ lambda_std_error|number_format }} {{ lambda_t_stat|number_format }} {{ lambda_p_value|pvalue_format }}{{ lambda_p_value|significance_stars }}

Selection Bias Parameter

Correlation (ρ):

{{ rho|number_format }}
{% if rho_std_error %}

Standard Error: {{ rho_std_error|number_format }}

{% endif %} {% if rho > 0.9 or rho < -0.9 %}
Warning: The correlation |ρ| is very high ({{ rho|number_format }}), which may indicate identification issues. Consider checking your exclusion restrictions.
{% elif rho|abs < 0.1 %}
Note: The correlation ρ is close to zero ({{ rho|number_format }}), suggesting sample selection bias may not be a significant issue.
{% endif %}
{% if diagnostics %}

Diagnostic Tests

{% for test in diagnostics %} {% endfor %}
Test Statistic p-value Interpretation
{{ test.name }} {{ test.statistic|number_format }} {{ test.p_value|pvalue_format }} {{ test.interpretation }}
{% endif %}