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

Interpretation of dummy variable : Random Effects Model

I am running a RE regression and I have export similarity index between two countries as the dependent variable and have a dummy variable such as share a border(=1 if countries share border, 0 ...
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1answer
22 views

Detecting Multicolinearity

Are high R square and low t-stats a signal for multicollinearity? What is the nature of this problem and correction? Also, how do you generally decide if the problem is high enough to be corrected?
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10 views

Diff in diff on model generated data

I have a structural model calibrated to N different locations and am running a series of counterfactual experiments. When I present the results for each experiment for each of N locations in tables, ...
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1answer
25 views

Are CPI stats weighed based on population size

Generally inflation and CPI are reported on a national level. If a country for example has 10 cities, after surveying prices in each individual city, how is the total CPI number determined for the ...
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23 views

Correlation between perfect strategy and market

What is the correlation between a perfect market-timing strategy (it always goes short/long one unit the day before the market goes down/up) and the market itself, assuming the market has a symmetric ...
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9 views

Data Set Request Wage and Factors Effecting Wage ( Education, Disability e.tc.)

I am looking to an Econometrics study. Where can I get wage data and factors affecting wage for the United States state by state?
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1answer
29 views

Dimensional analysis of GDP

The GDP is sometimes given by $$ GDP=P\cdot h\cdot e \cdot F $$ Where $P$ is the Productivity, $h$ is the number of hours worked, $e$ is the employment rate and $F$ is the size of the labor force. ...
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1answer
18 views

How do I run a regression with the restriction that one set of parameters are proportional to another?

I'm running a regression with a set of 3 dummy variables (for four categories of a variable) and these 3 dummies interacted with a continuous variable. I want to impose the restriction that the vector ...
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2answers
36 views

How to use an instrumental variable to estimate the parameter?

I have the following linear model of log wages (w) explained using years of schooling (S), years of experience and its square $(E,E^2)$ and 3 dummy variables indicating whether the individual was ...
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ragged edge concept

I'm confused by the concept of the ragged edge in real-time data analyses. I understand that data for $x_t$ comes in various forms: a first estimate, a series of additional estimates and, after some ...
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1answer
34 views

Linear Probability Model Instead of Logit in Fixed Effects Regression

In our panel data analysis we estimated a fixed effects linear probability model (LPM) instead of a fixed effects logit regression because our sample size was quite small (600 individuals) and the ...
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Does income equality correlate with less fraud?

If a population of people have less disparate income levels among themselves, are we able to predict anything about the level of phone scams, phishing emails, etc. perpetrated by members of that ...
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1answer
33 views

How to show that the estimator is consistent?

$Y_i=\beta_0+\beta_1X_i+U_i$ is my regression model for an I.I.D. sample with N=1000 observations. Suppose $U_i\sim I.I.D.(0,\sigma^2)$ and Xi are also I.I.D for i=1,2,3......1000. Xi is independent ...
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20 views

Difference between no perfect multicollinearity and no multicollinearity

Some textbooks (for example, Introductory Econometrics: A Modern Approach by Jeffrey Wooldridge) assume that no perfect multicollinearity for the OLS regression, while others (for example, ...
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How to test if the effect of one regressor entirely comes from other regressors?

I have a regression model that includes IQ test scores as the dependent variable; my own education, my father's education and my mother's education as independent variables. Suppose I want to know ...
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1answer
54 views

Derive the asymptotic distribution

Let $x_1, ..., x_n$ and $y_1, ..., y_n$ be two independent random samples from $X$ and $Y$. We have $µ_X = E (X ) > 0, µ_Y = E (Y ) > 0$ and $σ^2_X = Var (X )$ and $σ^2_Y = Var (Y )$. Derive ...
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30 views

Uniqueness of OLS estimates

Wooldrige says that ‘intuitively, to estimate k+1 parameters, we need at least k+1 observations’. Why is this the case?
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1answer
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Does it matter which is the dependent variable in regression of time series data?

I am testing for cointegration between the Real GDP per capita of England and France. I use a Dickey-Fuller test to test for stationarity and concluded that both of my series are non-stationary. So I ...
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14 views

Regression design, difference in differences

I plan to look at the regional differences of a policy effect. I would like to use the difference in differences approach however I am not sure how to assign a control group. I have data for time ...
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38 views

How can I prove that the following estimator is biased?

I'm trying to prove that $e^{x\hat{\beta}}-1$ is a biased estimator for $e^{x \beta}-1$. I know that this involves taking the expected value of the estimator and showing that it is not equal to $e^{x ...
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18 views

Order of Marginal Effects in Ordered Regression Model

I'm looking to validate my understanding of marginal effects on the probability of an ordered probit model. I don't understand how ME is calculated in respect to some alternatives. For example if I ...
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2answers
41 views

Nash Equilibrium and SPNE [closed]

Firms Alpha and Beta serve the same market. They have constant average costs of $2 per unit. The firms can choose either a high price ($10) or a low price (5) for their output. When both firms set a ...
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1answer
34 views

Why are the same set of controls used for both OLS and 2SLS?

I have been reading several papers that use 2SLS. These papers usually also show the OLS regression results. I noticed that when authors report results for 2SLS, they also include control variables ...
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A question about independence of LATE framework (IV)

I came across the assumption of independence of the LATE in 2SLS: My first reaction is, why D1i and D0i are independent of the instrument Zi? Shouldn't the treatment and IV be correlated for the IV ...
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1answer
26 views

Negative correlation conditional variance and return

I've estimated a GARCH for S&P 500, Nikkei and DAX index. The model for the return of S&P 500, the results indicate the return of DAX has an negative effect on the S&P 500 conditional ...
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Is there a specific test for this procedure? (NKPC and coefficient stability)

I'm running a GMM regression in order to estimate a New Keynesian Phillips Curve, with forecasting purpose, and i want to know if there is a testing procedure for the following problem: (i) First i ...
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Handling large percentage of zero-valued observations in the dependent variable in a panel dataset

I am writing a paper using a panel dataset in which my depepent variable has an large percentage amount of zero values observations. Those zero values are real zeros, I mean they are not missing data ...
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1answer
68 views

Econometrics: why the i.i.d assumption and weak exogeneity assumption imply strict exogeneity?

The proposition is from lecture notes of advanced econometrics of Yongmiao Hong: A1: $\{Y_t,X_t'\}_{t=1}^n$ is an i.i.d. random sample. A2: $E(\varepsilon_t|X_t)=0$ almost surely with $E(\...
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calculate magnitude of a recession

I'm doing an exercise from Blanchard Macroeconomics where I'm, apart from other things, asked to calculate the severity of recessions in the US since 1960. The data on the webpage that's referenced is ...
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1answer
41 views

How to change the observation for the first lag in an AR(1) model?

I run a simple AR(1) model in my analysis using ols: ar.ols(df$y, order.max = 1)) However, I work with generations as my unit of analysis. Therefore, the first ...
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18 views

Effect of Agricultural products on GDP/capita

What is the best way to regress this effect. I would like to show the effect of the production of different agricultural products (Rice, maize, wheat etc..) have on the gdp of a country (India in this ...
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9 views

Overlapping Generations Model Pension System Question

Part 1 Pension System OLG Model with pension system: Each individual lives up to two periods. The surviving probability at period 2 is p. At period 1, the young household consumes c1, saves s1, and ...
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36 views

Interpretation of coefficients in ECM for consumption

Say that we are regressing consumption $C_t$ on time $Y_t$. Furthermore, suppose that both series are $I(1)$ and are co-integrated. Given this, we set up the error correction model (ECM) as follows: $...
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43 views

Perfect multicollinearity when estimating a gravity model

everyone! I am estimating a gravity model in order to analyze the impacts of tighter environmental regulations on international trade. More specifically, I am analyzing Brazil's trade flow. My (...
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27 views

Analyse the influence of interior demand and trade on exports

I would like to have a primer on how the current slowdown of the German economy is affecting its partners, for instance France, Spain and Italy. More specifically, if it goes mainly through Germany's ...
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1answer
35 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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Simple question on interpretation of elasticity

I am doing a multivariable calculus course and found elasticity interesting. The formula for percentage change with elasticity is $\LARGE\frac{\frac{\Delta y}{y}\large\cdot100}{\frac{\Delta x}{x}\...
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1answer
44 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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2answers
34 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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122 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
54 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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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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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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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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1answer
30 views

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 (...