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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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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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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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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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7 views

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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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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38 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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8 views

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 ...
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44 views

Immigration supply shocks, fixed effects and model interpretation

I'm new to this and I've been racking my brains for a couple days trying to understand this model and how to run it in Stata. More than programming help, I think I just don't understand the model well ...
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21 views

Using Propensity Score Matching to evaluate non randomized and fully implemented village fund program

So i want to make a research about the impact of this program to community empowerment and infrastructure in villages. But the problem is the program itself (at the first year) implemented to almost ...
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22 views

Stationarity of log industrial index and log CPI

I'm looking to estimate a VAR, one of the variables in this VAR is the log of industrial production, and another is the log of the consumer price index. Will I need to difference these to get ...
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25 views

Econometrics: Is it feasible to use the “effect of the treatment” estimations from a diff-in-diff as dependent variable?

Basically I have many treated units and I would like to estimate (by applying the Diff-in-Diff methodology) the effect of the treatment. In my particular case it's very likely to observe certain ...
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27 views

Feature Scaling before applying Cubic Splines?

Should I standardize my features before applying Splines? More specifically, I am running the following code to transform my features: ...
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16 views

If all of LATE (Local Average Treatment Effect) assumptions is satisfied?

I would like to know intuitive and specific interpretation of LATE. If all the assumptions for LATE is satisfied, we can say that the Instrument Variable (IV) has an effect to estimate X on Y. Also, ...
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10 views

Using Gretl for ARCH model

How to forecast of volatility with use ARCH model in gretl? Because if I use function "gig" I get non positive coefficients for ARCH(2), ARCH(3),...
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1answer
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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12 views

Generating Variable frequency

I three variables, zipcode, date (month_year) and name of an installer. I need to generate: 1- a new var that is equal to the number of repetitions the installer name is repeated in month_year and in ...
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19 views

Mankiw, Romer & Weil: Estimating Implied Alpha & Beta

I am replicating Mankiw, Romer & Weil (1992) with data from 1995 through 2015, and I wondering how they estimated the implied alpha and beta. Thank you, For those curious, the paper can be found....
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14 views

GARCH(10,10) model

I try to find an easy and understandable description of How to calculate a short-term variance in garch model, when p and q are not equal 1. Let's have a look at this video: https://www.youtube.com/...
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15 views

Do all parameters have to have the same nature in a structural change test?

Lets say I am building a market model to estimate the beta of a stock with respect to a index of stocks. The beta maybe Constant / Autoregressive of order 1 / doing a random walk. I realize there are ...
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23 views

VAR model OLS line by line

I am estimating a VAR model line by line. Lets say the conditional variances are correlated. We would expect size distortion. So we would use another method, perhaps a HAC standard error to account ...
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29 views

instrumental variables

I have a question related to IV methods. Suppose I have a regression $Y = a + b_1 X_1 + b_2 X_2 + \epsilon$, where $Y$ is a dependent variable and $X_1$ is an endogenous independent variable and $...
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10 views

Transformation of cutpoints in Ordinal Probit/Logit regression

The likelihood for an ordinal probit/logit regression model is given as - $f(y|\beta ,\gamma ,z ) = \prod_{1}^{n} \left [ \Phi (\gamma _{j} - x_{i}'\beta ) - \Phi (\gamma _{j-1} - x_{i}'\beta ) \...
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20 views

Can I draw a smaller sample from one treatment group?

in an RCT, I have 3 different treatment groups and one control group. The size of the control group is around 1000 while the size of other groups are just above 300. To test balance I used ANOVA and ...
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13 views

covariance of autocorrelated time series

When we calculate the variance of a time series with autocorrelation, we need to do some shrinkage to get the correct value. What about say we have two time series, X, Y. both have autocorrelations. ...
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19 views

Disaggregated price index

im trying to make my own consumer price index using the laspeyres index methology. However im having problems finding the individual prices. However i have the disaggregated cpi components. For ...
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10 views

Multiple regulatory changes at the cutoff

Consider a running variable $a$, and a cutoff $a_0$. There are two regulatory variables, $x$ and $z$. Both variables jump around $a_0$, in the sense of fuzzy regression discontinuity design (RDD) ...
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41 views

How to do test statistic on difference in two independent variables?

If i have time series regression $R_{i,t} = \alpha + \beta x_1 + \gamma x_2 + \delta x_3 + \varepsilon_i$ In this case, how can I conduct test statistic of $\beta - \gamma$? Is it to use unpaired two ...
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16 views

Are there phi2 phi3 statistics for the DF-GLS unit root test?

It's known that there are phi 2 and phi 3 statistics when performing ADF unit root tests. These statistics tell us the correct specification of the model (Trend, constant, or none). When running ADF ...
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43 views

Estimation of a Non-linear production function with Non-linear least squares

Suppose that you have to estimate a Non-linear production function (for instance a Cobb-Douglas or a CES) by using Non-linear LS (and hence without log-linearization). You have just aggregate time ...
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30 views

Error Correction Model with more than one independent variables

I was wondering if it is possible to set up an Error Correction Model with two independent variables (one dep var, and two indep vars)? If yes, what are assumptions/conditions to be met? In the ...
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1answer
56 views

Can central bank interest rate hikes lead to a price gain in equities?

I ran an empirical analysis on recent interest rate changes of European central banks on Swiss equity prices and found statistically significant results. A 1 percentage point increase in interest ...
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1answer
65 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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30 views

Bias in an Autoregressive Model

In Stock and Watson 3E.Updated, they posit in chapter 14 that if we estimate an Autoregressive equation using an AR(1) $$ y_t = \beta_0 + \beta_1 y_{t-1} + \varepsilon_t $$ where in fact the true ...
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44 views

Asymptotic variance under heteroskedasticity

I want to find an expression for the asymptotic variance of the OLS estimator given that the errors are heteroskedastic. I have understood the derivation using CLT for the homoskedastic case. I.e., $...
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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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43 views

AR(p) with white noise error term — always covariance stationary?

Is it always true that an AR(p) process with a white noise error will be covariance stationary?
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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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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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25 views

Vector Autoregression - Resource request

I am looking for resources that give a self-contained introduction to vector autoregression. To be a bit more specific, I am interested in VAR models and their application to isolating and ...
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25 views

Multi-way clustering

I want to understand when and why multi-way clustering is necessary. Could anyone give a good example that provides intuition of when and why to use multi-way clustering that also illustrates why ...
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97 views

Interpretation of Incidence Rate Ratio for a Poisson Regression With a Non-Binomial Dependent Variable

Well, the name pretty much says it all. I have searched high and low, but I cannot find a concrete answer to the following question(s): How would one interpret the incidence rate ratio for a poisson ...
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240 views

Advice on upper and lower hemicontinuity?

Consider the correspondence f: $\mathbb{R}$ -> $\mathbb{R}$ defined by: f(a) = {x $\in$ $\mathbb{R}$:x2 + x $\leq$ a2} for all a $\in$ $\mathbb{R}$. Find the points where the correspondence is uhc ...
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156 views

Data Reduction using Principal Component Analysis

I have performed PCA over a data set containing 25 items (variables). PCA was performed in a view to reduce the number of items (variables) from the data set, so as to move forward with analysis. ...
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1answer
44 views

MLE estimation with serially correlated errors

I want to estimate the parameters of $a_t = a_{t-1}+\theta+\epsilon_t$ using MLE. Assume errors $\epsilon_t$ are serially correlated, then how would I choose the likelihood function?
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2answers
40 views

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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1answer
94 views

Stochastic process difference equation: stationary distribution

How can I find the stationary distribution (as t goes to infinity) of stochastic difference equations in the form: $x_{t+1} = a*x_t + b*N(0,1)$ where N(0,1) is a standard normal pdf I have ...
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1answer
49 views

Including variable with causation problem for estimating from LISS

I am using panel data from the LISS to estimate the effect of whether a person practices sport or not on appreciation of leisure time (scale 0-10). My partner insists on using a variable that ...
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1answer
221 views

Price Optimization from Data

How can I find the optimal price that maximizes profits, given past sales data? I thought I could do this, but I've been running into problems. Data: ...