# Questions tagged [seemingly-unrelated-regressions]

SUR stands for "Seemingly Unrelated Regressions", an econometric technique for fitting several models (w/ different response variables) simultaneously. SUR may be more efficient than fitting the models separately.

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### Can I estimate a panel VARX as a SUR?

If my panel vector autoregression with exogenous variables (VARX) is unrestricted, and the same variables appear on every equation. Can I estimate it as a panel SUR?
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### Assessing performance of entire nonlinear SUR in R?

I understand the McElroy's R-squared is used to assess the entire SUR system in Hamann & Henningsen's systemfit package in R. However, I've been running SURs ...
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### How would you run a SUR with nonlinear constraints?

Chiappari et al (2012) estimate two Seemingly Unrelated Regressions like this: $$y_1 = a_1 + b_{11}x_1 + b_{12}x_2$$ $$y_2 = a_2 + b_{21}x_1 + b_{22}x_2$$ Next, they want to test the hypothesis ...
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### Deriving marginal effects for a bivariate model: ordered probit + linear regression

I am having trouble obtaining marginal effects of the following model in Stata, so that I would love to have some help in how to obtain an expression by hand: I have a system with two equations: an ...
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### Multivariate Multiple Regressions

I have 24 multiple regression equations (24 dependent series and 24 independent series) and want the coefficients to be equal. How do I combine them? I allow for correlation of errors and tried SUR, ...
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### T-test across two regressions (seemingly unrelated)

I want to compare across two regressions if the coefficients are equivalent using a t-test, how could I approach this and is there a function in R, which does this for seemingly unrelated regressions? ...
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### Questions about Seemingly Unrelated Regression when all covariates are the same, but Y is different

Assuming I was estimating the same regression model, but had two dependent variables. Say one is income for women, and one is income for men. I want to understand if I understand the reason for using ...
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### VAR($p$) estimation

I am bit stumped by this result. Source: Remark on page 46 of Multivariate Time Series Analysis by Rsay. ... one can obtain the GLS estimate of a VAR($p$) model equation by equation. That is, one can ...
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### What is the difference between SUR and OLS?

How is the output different in the SUR (Seemingly Unrelated Regressions) equation from the OLS? Is it still the same as Bo + B1x = y?
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### Testing if coefficients are statistically significantly different across models

I will be building two zero-inflated negative binomial (ZINB) regression models, where each model is aiming to predict different disease count outcomes based on the exact same independent variables ...
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### Is there any benefit of using GLS when the regressors are identical

I am reading Greene, Econometric Analysis, 7th Addition, I am seeking a point of clarrification. "The case of identical regressors is quite common [think a VAR mode].... In this special case, ...
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### Find (or calculate) log-likelihood value, AIC, and BIC for SUR model (for each equation) with systemfit

I have estimated SUR model with systemfit (R package). With the estimated results, I am trying to get logLik, AIC and BIC for ...
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### Why are individual fixed effects from a "within" and from a dummy variable panel model different?

I am working on a long panel data set with N=34 and T=132. I need to extract fixed effects from plm (within) model and estimation of the same model but including dummies for individuals (N-1) in OLS. ...
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### Multiple impute multilevel data and postestimation tests

I want to do the following three things but am not sure how/whether they can be done: multiple impute multilevel data. I would be ok with just accounting for clusters, but I need to somehow account ...
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### Significant effect of control variable on the concerned determinant

I have a regression where I find the effect of x on y while controlling for z: y = x + z Theoretically, Both x and z have an effect on y. z has an effect on x. ...
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### Books on Bayesian seemingly unrelated regression

I want to study seemingly unrelated regression using Gibbs sampling for many equations. Can someone suggest some books on Bayesian approach for seemingly unrelated regression (SUR) with R examples. I ...
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### A model similar to vector autoregressive (VAR) model with different explanatory variables

VAR models do not allow the flexibility of having different explanatory variables in each equation. Are there any alternative models which allow this flexibility and written in a VAR form?
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### Why the inverse of the covariance matrix is equal to the original covariance matrix in Seemingly Unrelated Regression?

In Zellner 1962 p350-351, you may see (2.4) & (2.6), and you can also verify that the Sigma(c)=Sigma(c)^-1. Why the inverse of the covariance matrix is equal to the original covariance matrix in ...
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### How to perform a SUR with Panel Data?

To do a sureg in Stata I was thinking of reg healthy x1 x2 ... i.year i.country ...
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### Difference between SUTSE (Seemingly Unrelated Time Series Equations) and SUR (Seemingly Unrelated Regressions)

I am studying time-series econometrics and in particular Dynamic Linear Models for multivariate time-series. Someone can help me in understanding which is the difference between SUTSE (Seemingly ...
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### Test on SUR model

I have a SUR model with 22 equations, where each equation has the same 7 factors. I want to test if a coefficient (b3 in equation 1) is significantly different from another coefficient in another ...
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### Seemingly Unrelated Regression with the same dependent variables

I am analyzing the effect of foreign aid on governance. Foreign aid consists of six categories and I want to know each effect. Governance is measured by one indicator. I made six regression equations ...
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### Forecasting ar(p) for several counties

I have a data set of prices, these prices vary across time and across area. I have 18 areas with 32 time periods. What i want to do is forecast these prices, i have found that a AR(3) process fits ...
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### Difference between SUR and Simultaneous Equation Model

Seemingly Unrelated Regression (SUR), and Simultaneous Equation Model (SEM) sound very similar to me. What is the difference between them?
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### SUR estimation and Heckman selection model with panel data on Stata?

I'm working with unbalanced panel data using time and firms as IDs and would like to find out how to test for correlation between two panel equations that may be seemingly unrelated. The second ...
Consider the following m regression equation system: $$r^i = X^i \beta^i + \epsilon^i \;\;\; \text{for} \;i=1,2,3,..,T$$ where $r^i$ is a $(T\times 1)$ vector of the T observations of the dependent ...