Questions tagged [econometrics]

Econometrics is the application of statistical methods to economic data for various purposes such as of testing hypotheses, infering causal relationships and forecasting future trends. Only use this tag for questions relating to the theoretical aspect of an econometric technique.

Econometrics is the application of statistical and mathematical theories to economics for the purpose of testing hypotheses and forecasting future trends. The first known use of the term was by Polish economist Paweł Ciompa in 1910. Ragnar Frisch is credited with coining the term in the sense in which it is used today.

Econometrics is the intersection of economics, mathematics, and statistics. It takes economic models and tests them through statistical trials. The results are then compared and contrasted against real-life examples, like to study the hypothesis that as a person's income increases, spending increases.

Econometrics is also closely related to quantitative analysis (finance). So, it comes at no surprise that they share many tools, like:

  • simple and multiple regression analysis
  • frequency distributions
  • probability and probability distributions
  • statistical inference
  • simultaneous equations models
  • time series methods

There have been many criticisms of econometrics' usefulness as a discipline and perceived widespread methodological shortcomings in econometric modelling practices:

  • The Lucas critique argues that it is naive to try to forecast entirely on the basis of relationships observed in historical data, because economic structure and behaviour is subject to change.
  • Austrian School of economics entirely rejects the validity of econometrics as a method of predicting human behaviour, preferring to use the deductive method.
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Open access datasets for teaching IV regression

I am looking for a dataset to show (to a group of engineers) how the instrumental variables technique is used in econometric practice. I could always make up my own data, but I think it might be more interesting to everyone using real (not to…
snoram
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Nobel prize for empirical work

Did any recipients of the economics Nobel prize receive their prize for work that was primarily or substantially empirical (rather than theoretical) in nature?
Ubiquitous
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OLS bias in demand estimation: the bias always underestimate the demand's elasticity?

Some papers argue that OLS can produce less bias than IV estimation depending on the quality of your instruments. Suppose we consider a demand estimation equation. Suppose the demand elasticity is negative in OLS. By my intuition weak instruments…
John Doe
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How to show that GLS estimator is consistent in regression model?

$$\mathbf Y=\mathbf X\beta + \mathbf U$$ $$\mathbf E[\mathbf U\mathbf U']=\Omega $$ $$\hat \beta - \beta=(\mathbf X'\Omega^{-1}\mathbf X)^{-1}\mathbf X'\Omega^{-1}\mathbf U$$ let $\mathbf X^{*}=\Omega^{-0.5}\mathbf X$, and $\mathbf…
Edward
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Instrumental variables vs control function: Which approach and why to handle endogeneity?

I'm curious if anyone here can summarize the differences between the I.V. and control function approach to handling endogeneity. I think endogeneity is usually addressed using the 2SLS or IV approach and, having briefly studied the control function…
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Reduced Form of an econometric model, identification problem and test

Looking for some help to understand the following problem and how to use the reduced form in econometrics Consider a model for the health of an individual: $$health = b_0 + (b_1)age + (b_2)weight + (b_3)height + (b_4)male + (b_5)work + (b_6)exercise…
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Regression discontinuity questions

I am considering a regression discontinuity design (RD) where the "treatment" has a definite sorting rule (below the threshold, you are not fined - above the threshold, you are fined). The outcome I am considering is how much you are fined the…
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The Frisch-Waugh-Lovell Theorem: an exercise

I have an equation of the form(all vectors): $y=X_1\beta_1+X_2\beta_2+u$. I'm interested in knowing if the beta OLS estimators and respective residual for this equation are the same as for when we apply OLS to the following…
An old man in the sea.
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heteroskedasticity variance estimator bias direction

If I have a model with heteroskedasticity issue, can I tell the bias direction of the coefficents variance estimator? I would think that because I would correct it with WLS then I get BLUE (Best Linear, Unbiased Estimator) which means the variance…
user5344
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Are White's Robust standard errors robust to clustered errors?

I want to ask about OLS White's 1980 "robust" standard errors. The key assumption, is that regression errors $u_i$ have distinct variances $σ_i^2$. Then the variance matrix is: $$\Sigma = \operatorname{diag}(\sigma_1^2, \ldots, \sigma_n^2)$$ with…
user157623
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Equation 3.3.8 in Mostly Harmless Econometrics

Suppose that $S_i$ is continuously distributed, not necessarily non-negative. The conditional expectation function of interest is $h(t):=E[Y_i|S_i=t]$ has derivative $h'(t)$. Equation 3.3.8 of Mostly Harmless Econometrics is: $$\frac{E[Y_i(S_i-…
Michael Gmeiner
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Can I run a regression splitting the sample into "female" and "male" cohorts, instead of just including "sex" as a control variable?

Say I want to look at the impact of education on earnings: income = β0 + β1education + β2age + β3*male + e Could I also run this regression two more times, splitting the sample into "male" and "female": income = β0 + β1education + β2age + e if…
amess
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Deriving First Order Condition of Hansen and Singleton (1982)

Hansen and Singleton (1982) considers the maximization of expected utility, \begin{align*} \max \mathbb{E} \sum_{t=0}^\infty \beta^t U(C_t) \end{align*} with respect to the budget constraint, \begin{align*} C_t + \sum_{j=1}^J P_{jt} Q_{jt} =…
user2978524
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Solution of overdetermined system of moment conditions

In Hayashi Econometrics, page 207-8, ex3 (see hint), he says that even if a population moment conditions (GMM setting) system is overidentified it still has a solution, while the sample moment conditions system cannot. I'm having a hard time…
An old man in the sea.
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The $\sqrt{N}$ convergence of semiparametric estimators of Newey 94, why does it converges to a normal distribution?

The famous Newey 94 paper on the asymptotic convergence of semiparametric estimators with a first non parametric step and a second parametric one, http://www.jstor.org/stable/2951752, establishes that it does not matter the rate of convergence of…
user157623
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