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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36 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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40 views

Does it matter if there's simultaneous determination between two dependent variables?

For example, if I have an equation $$ y = \beta_0 + \beta_1 x_1 + \beta_2 x_2 + u $$ Where $x_1$ and $x_2$ are simultaneously determined, say $$ x_1 = \gamma_0 + \gamma_1 x_2 + \gamma_2 z_1 + e $$ $...
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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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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
1k views

In panel data application, when using Fama and MacBeth regression is preferable over the fixed or random effect model? thought

When discussing panel data, many econometric books, usually, focus just on fixed or random effect model as means of estimating regression for panel data. Despite this tendency I have seen many papers ...
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78 views

Translog cost function

Can anyone help to estimate total cost under Translog cost function. I have input output and input cost data. It would be highly appreciated if software demo to estimate the same is given.
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4k views

How to interpret Whited Wu index (WW-index)

I want to study financial constraints on companies of different groups and for that I try to use Whited-Wu index: ...
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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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38 views

Possible regression biases with GDP [x] vs Health expenditure [y] (both per capita)

I am regressing per capita health expenditure on per capita GDP. I have 3 data columns (health expenditure, gdp, population) So my regression function is healthexpenditure/population = b0 + b1.(gdp/...
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64 views

Fixed Effects Estimation and Inconsistency

Consider estimation of the following population regression function: $G{Y_{it}} = {\beta _0} + {\beta _1}IN{F_{it}} + {\beta _2}DE{M_i} + {\beta _3}POI{L_t} + {\varepsilon _{it}}$ Where: $GY_{it}$ = ...
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164 views

Dynamic factor model for inflation (UIG)

I'm trying to replicate some results of Fed Underlying Inflation Gauge (UIG) model, which is a dynamic factor model to capture inflation trend. https://www.newyorkfed.org/research/policy/underlying-...
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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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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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14 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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1answer
24 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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44 views

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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0answers
43 views

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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20 views

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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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
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
153 views

Learning Suggestion to better understanding on Advanced Microeconometrics (Master Degree Level)

I am studying master in Economics and currently taking the compulsory course of Econometrics in which I have problem in understanding the materials. It is a must for me to pass this course in current ...
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1answer
47 views

Categorical variable as explanatory variable (right hand side)

In a linear probability model, or any sort of regression, one can use fixed effect estimation by simply adding in a STATA code i.something. This "something" can be either a village, a county or a ...
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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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1answer
81 views

Plim of ols estimator

Suppose you are given 2 models. Model of 1 has $y$ as the dependent variable and $x$ as the independent. Model 2 has $w$ as the dependent variable and $x$ as the independent variable. Both models have ...
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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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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
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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1answer
95 views

DSGE Model Solutions as a Vector Time-Series process. Examples?

I'm trying to understand how the solutions of a DSGE model can be seen as VAR or VARMA. Can you give examples of DSGE model solutions which can be seen as such? Also, does this only happen when we ...
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10 views

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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0answers
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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0answers
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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1answer
100 views

Why can't we control for squares and quadratics of predicted values in regression?

If my goal were prediction (e.g. of propensity scores), why couldn't I control for higher order terms of the model equation? For example, why not estimate the model and then control for squares and ...
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0answers
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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1answer
84 views

What is an unconditional model for a time series variable?

If I am being asked to do an unconditional analysis of a time series variable, lets say GDP starting in 2000, what model am I supposed to estimate?
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1answer
115 views

Panel Data and Forecasting

I have balanced panel data for around 130 countries, over three years. I ran a fixed effects regression using 'country' as my panel variable, and adding dummies for 'year'. I want to forecast the ...
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1answer
15 views

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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2answers
142 views

Historical sovereign bond yield and CDS rate data download

Does anyone know where I can download from: 1) historical data for sovereign bond yields (or prices) and 2) historical data for soveregin CDS (credit default swaps) rates? preferebly free?
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1answer
34 views

Existing metric for personal productivity hours needed per life hour?

With about 50 hours of productivity a week, including work, cooking, etc. I can complete the tasks and pay the expenses necessary to live about a week. Subtract maybe 5 hours of labor that goes into ...
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1answer
1k views

Quarterly GDP growth: YoY vs QoQ / terminology

Quarterly GDP growth can be calculated either in terms of YoY change or - in the case of seasonally adjusted data - in terms of QoQ change. (A third option would be to annualize the QoQ rate.) To ...
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3answers
135 views

Sample used in calculating the sample regression function

Does the OLS (ordinary least squares) method of regression consider only one sample value in calculating the sample regression function (SRF)? If not, then how is the SRF created when there is more ...
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2answers
289 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
278 views

Serial correlation and clustered correlation in FE and FD estimators

I'm running a regression on panel data, one time with Fixed Effects and one time with First Differences. The estimators are really different (the FE estimator is statistically significant and the FD ...
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3answers
259 views

Log of a Negative Market-Book Ratio in a Regression Model

As noted in this post, the book value of a company is its assets minus its liabilities. I am reading this paper: "The price of sin: the effect of social norms on market" by Hong and Kacperczyk. One ...
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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
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 ...