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.

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28 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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43 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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47 views

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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178 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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27 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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36 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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29 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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47 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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21 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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15 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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11 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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45 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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61 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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189 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
90 views

not following a step in a paper on rational expectations

Hi: I'm reading a paper by Broze and Szafarz titled "On Econometric Models with Rational Expectations and I don't follow a step in section 3.2 which discusses the method of undetermined coefficients. ...
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51 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
123 views

AR 1 Process simulation

I wanted to use STATA for a kalman filter simulation and wanted to go about it the following way 1. Generate iid error terms $$ {e_t}, {n_t}, {u_t} $$ ...
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1answer
34 views

Ttest and heteroscedasticity problem in no intercept model

I was running a t test over two regression betas with the assumption of equal variance. I know that if the condition of homoscedasticity do not hold then there are chances to have type 2 error but ...
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1answer
535 views

What determines if a variable is exogenous or endogenous in a model? [duplicate]

Question above, I have a very rudimentary understanding of econometrics.
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26 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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1answer
36 views

Studying growth in US and Sweden, what variables should I watch out for in a regression? [closed]

I've be assigned a project on growth paradigms in US vs Sweden as part of my introductory course in econ. Can somebody please help me out with regression ideas?
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1answer
166 views

Relationship between elasticity and interpretation of approximate percentage change

Let's define elasticity, in a regression setting, as $\frac{\partial \log E(y|u)}{\partial \log x_j }$. How do we relate this definition to the percentage change interpretation, i.e., seeing this ...
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28 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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100 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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301 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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1answer
62 views

Isolating single campaign effects over a sales series

I'm trying to wrap my head around the concept of advertising effectiveness and hit a wall when I tried to measure the quantitative effect of an advertising campaign on the sales tendency of a business....
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179 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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2answers
398 views

How to incorporate I parameter in GRETL application for ARIMA model? [closed]

How to incorporate I parameter in GRETL application for ARIMA model? Able to incorporate parameter AR and MA but not sure how to incoporate the I parameter?
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1answer
38 views

What is the "dummy variable trap"?

I saw an interesting Economics post yesterday with the long comment. I post the regression result of the OP here I saw @chan1142 stated that Thanks. I see the _cons row. That's the intercept; the ...
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1answer
41 views

What does data at individual and aggregate mean? [closed]

When registering an datasource account, I saw the response as below "Will your research present data individually or in aggregate? I am wondering what does "data individually or in aggregate&...
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1answer
191 views

how to find the elasticity of log(y) =β0+β1log(x) [closed]

I'm struggling with this question. Please help out with the correct formula. how to find the elasticity of log(y) =β0+β1log(x).
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1answer
50 views

Multinomial logit with an rct [closed]

If I'm running a randomized control trial, and the regression model I'm looking at is a multinomial logit, what would my specification be? I.e. what would the equation look like? Some dumbed-down ...
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1answer
49 views

Integer values in difference equations

In difference equations, the time variable $t$ can only take integer values. Does this imply that the variable $y_t$ must be considered a discrete variable?
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1answer
142 views

Finding an instrumental variable for unemployment

I have the following regression model: Marijuana Usei = β0 + β1Unemployedi + β2Personal Incomei + β3Educational Attainmenti+ β4Sexi + β5Agei + β6Racei + εi The model is a probit model I need to ...
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1answer
74 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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1answer
60 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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2answers
206 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
141 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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1answer
74 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
113 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
250 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: ...
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1answer
54 views

Why does econometric models usually have higher accuracy than using other method, show one example with references that shows this [closed]

Why does econometric models usually have higher accuracy than using other method, show one example with references that shows this? Why this is happening while all these economics method is using ...
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2answers
51 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
68 views

Advance Microeconomics [closed]

Show that u=a+bM-yM^2 represents a risk averter's utility function who is interested only in the mean and the variance of the state distribution of Income M. Can anybody send me the full solution. ...

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