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.

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17 views

Running a regression to avoid multicollinearity

I have the following regression (pooled OLS; panel data): Y Treated Shock Shock*Treated {with industry and year fixed effects} Y is a continuous variable, “...
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1answer
37 views

OLS and 2SLS normal equations

For a system of equations with $M=2$ endogenous variables, $ Y=\begin{bmatrix} y_1 & y_2 \end{bmatrix}$ and $K=3$ exogenous variables, $X=\begin{bmatrix} x_1 & x_2 & x_3 \end{bmatrix}$. ...
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How to derive the asymptotic variance from the sampling distribution of the OLS estimator?

The asymptotic sampling distribution, after taking plim, of the OLS estimator is given by $\sqrt{N}(\hat{\beta}-\beta) = E[X_iX_i^T]^{-1} \left(1/\sqrt{N} \sum_{I=1}^NX_ie_i \right) $ It must be ...
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A few variables expressed in units of a standard normal distribution in a regression

I am using three of the Worldwide Governance Indicators (WGI) estimates. They represent broad dimensions of governance for countries. All indicators range from -2.5 to 2.5 approximately. They are ...
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1answer
22 views

Name of robustness check where you exclude individuals?

I have a panel dataset and to check the robustness of the results, I'm re-estimating the models with each panel unit excluded once. Does this robustness check habe a particular name?
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106 views

Is there empirical evidence on usability of Cobb-Douglas production function?

This is my first question at Stack Exchange. I am trying to estimate simple Cobb-Douglas production function $Y=AL^{\alpha}K^{\beta}$ on US data and receive an unrealistic estimate of $\alpha$ and a ...
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1answer
52 views

Econometrics - Need help interpreting results

My absolute t-value is greater than t-critical value. This means that I can reject my null hypothesis which was that $\beta_1\leq 0$. Therefore, $\beta_1\gt 0$ and my alternative hypothesis is correct....
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22 views

Where can I find an endogeneity proof for bias by LLN?

It is intuitive that E[xe] is non-zero but the result E[xe]=sigma(x)*sigma(e)*corr(xe) seems odd. Please help point me in the right direction.
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10 views

Volatility measure in Diebold-Yilmaz connectedness approach

I am trying to create Diebold-Yilmaz connectedness table for returns and volatilities. When I do it for returns everything works properly (I can reproduce their work actually) but for volatilities I ...
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15 views

How to I find some of the most basic US State-level economics (survey) data for each year?

Some of the variables that I am interested are the state-level GDP, population, income, saving, consumer spending, employment, investment, industry share, RD investment, etc. I've tried the US census ...
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How to calculate the risk-free rate of cryptocurrencies?

For a conference I need to show the Sharpe ratio's of bitcoin portfolios using different trading strategies. To calculate the Sharpe ratio, I need the Bitcoin's risk-free rate. Risk-free rate for ...
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Covariance between regression coefficient and residual

Given regression equation Y=Xβ + ε which satisfies all classical assumptions including those of homoscadasticity Estimated regression equation using OLS is the following - Y=Xb + e Where, b is ...
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How to run Panel data analysis when data on the dependent variable is on a 5 year interval basis and that on independent variable is on yearly basis?

I am reading a paper which empirically tests if primary exports affect education attainment in LAC countries over the period 1965 to 2010. It uses percentage of secondary school enrollment as ...
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Minimizing the error: Transforming dependent variable

As given in the picture, question ask us to transform dependent variable, by premultiplying with a weighting matrix W, (which will change the regression coefficient into C'β) such that the expression (...
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17 views

What are the statistical tests I need to perform before I regress GDP on multiple variables?

I'm using data over 10 countries for the period 1975 to 2010. My objective is to check if the chosen regressors have significant effect on GDP. I have very basic knowledge of econometrics which I ...
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2answers
24 views

what can be the proxy variable for measure of product innovation?

My objective is to prove that international trade leads human capital formation which leads to economic growth. I am regressing GDP on multiple variables among which Human capital is one. According to ...
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1answer
31 views

'One Unit Change in the Explanatory Variable'

I have a conceptual question in terms of econometrics. I understand for example that the primary goal of econometrics is to use estimated parameters to calculate the average change in the dependent ...
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12 views

GARCH data modeling

I am analyzing three time series returns for stocks, bonds and real estate, and have done prelimanary tests including Engle's ARCH test which came back as not rejecting the null hypothesis. IF there ...
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1answer
30 views

Data analysis with GARCH modeling

I'm currently analyzing the relationship between stock, bonds, and real estate returns in Germany. I've gathered my data and am planning on estimating this equation: $\sigma_t = \beta_0 + \beta_1 R_{...
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1answer
38 views

Principal component analysis interpretation

Suppose a wealth index is computed using information on a set of 14 assets that a household possesses. The index is generated using principal components, as the 14 individual asset variables are ...
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what is the methods to check the impact of regulation on gender pay gap

i have a data for for the top 5 manager of 100 companies from 2010-2018 and i want to check the impact of a regulation that limits the max salary of managers in the financial sector on the gender pay ...
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15 views

Terminology for t statistics using cluster robust standard errors

When reporting regression results I typically have put "robust standard errors in parentheses" below or "cluster-robust standard errors in parentheses" when appropriate. In this particularly paper, we ...
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15 views

One Treated Unit That Becomes Untreated

Suppose I have a set of units $n_i, i = 1,...,N$. One unit was receiving a treatment $n_j = 1$ at times $t=1$ to $t=\tau$. All other units never received the treatment so $\forall t, n_i=0,i\neq j$. ...
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2answers
38 views

regression method for data that contain a number of observation for several years

I have a data set about 125 companies. For each company I have the salary and some other variables about the top 5 managers in each company. One observation contains the top 5 managers in each one of ...
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2answers
290 views

Cobb-Douglas production function with expenditures rather than units

I want to estimate a standard Cobb-Douglas production function of the form $ Y=AK^{\alpha}L^{\beta}$. However, I only have data on labour expenditures, not units of labour. I don't have data on the ...
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1answer
27 views

Is measurement error in self-reported health a problem in this scenario…?

I am running regressions to estimate the impact of health conditions on life satisfaction. I have read a paper that showed that there is likely to be measurement error in the self-reported health ...
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1answer
83 views

Why is macroeconomics studied through “Shocks”?

"Why is modern macroeconomics all about identifying this shock and that shock?" Coming from a theoretical econometrics background, I have recently delved into empirical macro literature. I am a bit ...
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1answer
45 views

Estimating Equilibrium Price for Advertising using Simultaneous Equations Model

I am attempting to build a simultaneous equations model that estimates the equilibrium price of display advertisement, but I have only seen textbook examples with Quantity being the dependent variable ...
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38 views

Any function of jointly iid pair is iid (WLLN)?

In Hansen (2019) p.221, I don't understand "Specifically, the fact that $(y_i, x_i)$ are mutually independent and identically distributed implies that any function of $(y_i, x_i)$ is iid, including $...
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1answer
51 views

Mathematical framework for modelling the relationship between price and sales of a product

In my job as a data scientist, I am required to model the relationship between the price of a product and the sales or number of unit sold. I am trying to build a simplistic model, the assumptions of ...
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15 views

The Econometrics of Pay-To-Play In Youth Sports

Question: Are there any econometric theories that are applicable in studying what is commonly referred to as Pay-To-Play, in the world of youth sports. I want to preface by stating that I am not an ...
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2answers
44 views

How to deal with misspecification of models in Macroeconomics?

I'm wondering what methods are used in economics, specially in macro, to deal with model misspecification. I've already searched the web, but I may be missing some methods. Therefore, I ask you for ...
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31 views

The rationale for using a lagged variable to address endogeneity arising from simultaneous causation?

when there is simultaneous causation between dependent and independent variables often in papers we see a lagged variable being used in place of contemporaneous variable. For example, Clemens, ...
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42 views

If an endogenous explanatory variable is serially correlated does it mean that its lags are also endogenous?

in panel data when examining economic growth determinants lags are often used to account for endogeneity of explanatory variables. However if the explanatory variable is serially correlated, does it ...
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1answer
56 views

What is the interpration of results if adding or subtracting a control variable effects the significance of explanotary variables?

I am conducting some regressions on economic growth determinants and I am disillusioned. Essentially by choosing what groups of variable to regress I can get the desired significance. What does this ...
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25 views

Should I care about stationarity when dealing with cyclical components?

I have downloaded time series data from the IMF-IFS website for 31 different countries. The time series are about GDP, constant prices, national currency (yearly); lending interest rate (monthly); ...
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38 views

Rate of convergence and asymptotic dominance in $\Vert x \Vert \gg \Vert(\hat\beta-\beta)\cdot u\Vert $

Let $\Vert A \Vert$ denote the spectral norm of a random matrix. Let $x$ and $u_k$ be N$\times$T matrices. Denote $\beta \cdot u = \sum_{k=1}^K\beta_ku_k $, where $\beta$ is a K-vector and $\beta_k$ a ...
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Assessing the ability of dividend yields to predict stock returns using out-of-sample forecast errors

In Introduction to Econometrics, 3rd Edition, by Stock and Watson, there is a short example about evaluating the ability of using dividend yields (current dividends over price) to predict future stock ...
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1answer
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Is it reasonable, in panel data, to use past values of explanatory variables as instruments to deal with simultaneous causality?

I am trying to examine the determinants of economic growth, essentially regressing a number of variables upon economic growth. I face a problem that there is likely simultaneous causality between many ...
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28 views

Regression analysis with interaction and decomposed main effect

I'm trying to figure out if I need to include the main effect in a regression analysis with an interaction if I am already including a decomposed version of the main effect. For example, let: ...
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5answers
730 views

What are some further readings in Econometrics you recommend?

I've reached the end of my Econometrics courses for the undegraduate level at my university, but I would like to continue learning. I hope I could get some recommendations for further reading. I ...
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Estimating CES utility (not production) function parameters

The CES utility function has the form \begin{equation} u(x_1,\dots,x_n)=\left[\sum_{i=1}^n\alpha_ix_i^\rho\right]^{1/\rho}, \end{equation} where $\alpha_i$ is the consumption share parameter and $\...
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Components of matching estimator for ATT

Blundell and Costa Dias (2000) (https://onlinelibrary.wiley.com/doi/pdf/10.1111/j.1475-5890.2000.tb00031.x) present in page 448 a generic matching estimator for the average treatment effect on the ...
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1answer
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is there a difference between E[e|x]=0 and E[e|d=1]-E[e|d=0] in continuous vs discrete case in regressions?

in the discrete case, if assignemt is random, then i can express E[y|d=1]-E[y|d=0] = B + E[e|d=1]-E[e|d=0], where the expectation of the errors are the same for both groups and become zero. Where I am ...
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55 views

Dynamic model and serial correlation

I'm interested in estimating the effect of the $event_t$ variable in the price volatility of a financial instrument with the following model $$V_t = \beta_0 + \beta_1 \ |\Delta p_t| + \beta_2 \ ...
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25 views

Should I include lags in an LLC unit root test?

I have panel data (N = 10, T = 20), which I intend to run a series of regressions on. I first want to see if my data are stationary in levels or in differences. To do this, I have been performing ...
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37 views

Minimum observations for an econometric SEM

Good day for all: I have an econometric SEM with three equations similar to: $$ A = \beta_0 + \beta_1 B + \beta_2 G + \beta_3 H + u_1 \\ B = \beta_4 + \beta_5 C_{-1} + \beta_6 D_{-1} + \beta_7 E_{-1}...
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1answer
33 views

How to predict income n years after graduation using income dataset with age, but not graduation year?

I'm trying to predict the income of graduates of certain Master's programs n years after graduation, using the American Community Survey individual level dataset to calibrate my equation. It gives me ...
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Relation between variation of the drift and insurance fee?

what is the relation between insurance fee and the variation of the drift of the underlying asset? I've created a simulation code, and changing those two values does not change the result. As I assume ...
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1answer
72 views

Regarding some econometric problems

How do I know the specification in (3.2) is a chi-square distribution with df k-1? and why is it the case that the asymptotic variance of $\hat{\beta}_{FD}- \hat{\beta}_{OLS}$ is simply the ...