Questions tagged [regression]

In statistics, regression analysis is a statistical process for estimating the relationships among variables. It includes many techniques for modeling and analyzing several variables, when the focus is on the relationship between a dependent variable and one or more independent variables (or 'predictors').

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30 views

How do I build a synthetic measure of economic activity for linear regression?

I'm trying to estimate the effects of WW2 on the economy using historical data for cities. The regression is pretty simple: ...
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Infinite Variance Regressors

Many presentations of OLS have a condition, $E(X'X)<\infty$ and is invertible. My question is, why is $< \infty$ critical? Consider, $$y_i =\beta_0 +\beta_1 x_{1i} +\varepsilon_i $$ The ...
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Natural regression to study rate of convergence from MRW (1992)

In the paper of Mankiw, Romer and Weil (1992: 422-423) aka MRW there is a transfer from theoretical dynamical model to empirical regression approach as follows. The model suggest a natural regression ...
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Probit and DiD - Finance

I have been working on a project for a good long time. I am relatively new to finance and regressions in R, so I would be extremely grateful for every response I get. My goal with this task is to ...
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Multicollinearity problem

I am trying to model contract outcomes, let's say for car sales and I am interested if a certain group of people is better in negotiating better deals (e.g. women). The dependent variable is price, ...
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Interpretation of possible paradoxical negative correlation between variables

I am working on an assignment which asks to do an ordinal regression with the aim to identify significant contributors of the 13 independent variables on the dependent variable, and to determine if ...
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Clustering Standard Errors for Panel Data with multiple clusters

I have a Group-Firm-Year panel data set (i.e., multiple firms make up a group). Suppose I have exogenous variation at the group level over time. In a panel regression with firm and time fixed effects ...
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Identification strategy

I am trying to find the relationship between one independent variable with two dependent ones. I was doing some reading, and I can use MANOVA to regress this. However, my original ID strategy was to ...
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At what level should I cluster my standard errors and why?

I have a yearly panel data in which each observation is a pair of monitoring stations (stations measuring water quality in rivers) one located upstream and the other downstream, each station in the ...
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Test which functional form that best explains data

Tried asking this on Math Stack Exchange. Got no answer after a week, so trying here. I had this question in an exam lately and I was not sure how to answer it. Now the exam is done, and I can't go ...
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What are the values in brackets under the estimators value representing?

Please, can you explain me what are these values in red circles representing?
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What is difference between Interrupted Time Series (ITS) and Regression Discontinuity in Time(RDiT) analysis?

Can anyone give some details on the difference between Interrupted Time Series (ITS) and Regression Discontinuity in Time(RDiT) analysis? How to choose between them? which one is more robust? Or some ...
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intuitively explain the equation of $Var(b_1)$ in OLS model

Above is the capture from the Econometrics slide from "Hill,Griths and Lim (2018) Principles of Econometrics". I have no problem the see the blue font sentence separately, it's all about the ...
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GMM Estimation with HAC Weight Matrix in R

I am currently working on my econometrics assignment regarding a seminal paper of John Taylor (1993) and really got stuck during the last days with one specific question. I am supposed to set up a GMM ...
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Regarding the starting point and assumptions of linear regression model

Here is my understanding of the linear regression model with single regressor: We suppose that the population regression function takes the form of $Y_i=\beta_0+\beta_1X_i+u_i$. Furthermore, for the ...
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How to test parameter restriction in seemingly unrelated regression using STATA?

Given constrain 1: [w1]ln_p2 = [w2]ln_p1 I estimate an Ideal Demand System using surge command in STATA w1 = a1 + g11 (ln_p1) + g12 (ln_p2) + b1(real_income) w2 = a2 + g21 (ln_p1) + g22 (ln_p2) + b2(...
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What is being meant by "cohort-specific fixed effect for each state of birth" in Card&Krueger(1992)? What does the following equation mean?

I am referring to this paper on school quality and returns to schooling. The econometric specification has been described by eqn (1) on page 4. The authors have taken "cohort specific fixed ...
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Need Clarification of Terms: Innovation v.s. Disturbance

I have been reading some econometrics paper and came across terms "innovation" and "disturbance" of regression models. Can someone please explain to me what they are? I have ...
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Nonlinear Least-Squares Estimation in Practice

I am reading Jeong, Kim, Manovskii 2015 and in the paper they apply "a nonlinear least-squares method" to estimate a log-wage equation, , where $D, \Pi$, all $\lambda$s $\theta$s, and $\...
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How to estimate a system of equations with missing values in dependent variable with sureg?

I am trying to estimate vote shares of different parties. So, suppose I have 4 parties, each having its own column in the data set. Hence, the sum would be tending to 1. Now, if a party does not ...
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How to recognize correlation in spurious regression case

Assume we are given two independent random walks $$ Y_t = Y_{t-1} + \varepsilon_{1, t}, \quad \varepsilon_{1, t} \sim \mathcal{N}(0, 1) \\ X_t = X_{t-1} + \varepsilon_{2, t}, \quad \varepsilon_{2, t} \...
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How to estimate an SUR model in R with fixed effects and clustered standard errors?

I want to estimate an SUR (Seemingly Unrelated Regressions) model. I tried using systemfit and its wrapper Zelig. But I am not ...
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What should we do if the subsample have the opposite results to the general results?

In my replication study, I examine whether a law (a law implemented staggered by different countries) has an impact on firms' cash equivalents. The result turning out for the whole sample is that the ...
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Intercept in 2nd-stage Error Correction Model (ECM) regression — yes or no?

When doing a two-step ECM regression, do we add an intercept in the 2nd stage regression? I've seen course notes that add an intercept in the ECM, but some do not, so I'm confused if I should include ...
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Event study by Kleven

I was reading the following paper by Henrik Kleven et al. https://www.henrikkleven.com/uploads/3/7/3/1/37310663/kleven-landais-sogaard_nber-w24219_jan2018.pdf The estimate the child penalty on wage ...
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How to interpret fixed effects from a binary logit model in which all dependent variables are categorical? Marginal effects does not work

The study is on survey data from UK households with a lot of missing variables. I ran a logit regression to predict the probability of Y (binary variable)and estimated the corresponding marginal ...
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Interpretation of coefficients in a regression with a lagged dependent variable

I have estimated the following dynamic panel data model using GMM:           $\ln Y_{it}=\beta_0+\beta_1\ln Y_{it-1}+\beta_2\ln X_{it-1}+\epsilon_{it} $ where $Y$ is employment and $X$ is productivity....
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Suggested model for dependent variable of different groups

I want to test the impact of X on Y. The dependent variable Y is being employed. Now, I want to see if the impact of X is different for those employed in agriculture (A) and non-agriculture (N) ...
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120 views

Why we need to control for the interation of year and industry fixed effects?

Normally, we control for firm and year fixed effects, but in some case I saw people control for the firm along with yearxindustry or firm and yearxregion fixed effects. Could you please hint me why ...
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Is exogeneity guaranteed for a lottery-generated instrumental variable?

If using $z$ as an instrument for $x$, to study the effect $x$ has on $y$ and given that $z$ was indeed generated through a lottery, is it definite that exogeneity of $z$ will hold? I have looked at ...
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Predicting covariates into "observed" and "unobserved" part

I recently saw a paper where they run a regression of the covariate of interest $X_{1}$ on the outcome $Y\in\{0,1\}$ without further controls $$ Y = \alpha_{1} + \beta_{1} X_{1} + \epsilon_{1} \tag{1}...
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Joint significance test in a difference-in-differences setting

I ran the following difference-in-differences regression in software and have some questions about the interpretation of the resulting coefficients and their (joint) significance: $$ P_{it} = \gamma_i ...
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How should I regress income inequality on economic growth?

I would like to know which variables to use to regress income inequality on economic growth. For income inequality, I am thinking of using the Gini index, but don't know what measurement exactly. For ...
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Question about using elasticities to compare difference rates but with different normalization

Lets say I am estimating a regression of a death rate per 100k people on an economic shock, so: $y = \beta_o + \beta_1 * X+ error$ where the dependent variable is the death rate, and x is the measure ...
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1answer
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How to interpret fixed effects?

I want to interpret the output of a fixed effects regression and need help with interpreting the country-fixed effects. The regression is the following: ...
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How to explain negative correlation between quantity sold and expenditure on advertisement?

I have received the following dataset from our economics Professor. It has 15 observations and 4 variables - 'qsold' (quantity sold of product X), psn (price of X), ...
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156 views

Does random sampling cause zero conditional mean?

In the lecture notes of my development economics class, it says that " In the regression model : Yi = β0 + β1Xi + ui, if Xi is randomly assigned, then Xi is independent of ui, i.e., E(ui|Xi) = 0, ...
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92 views

Why is it assumed that covariance equal to $0$ or independence between $y$'s in the simple linear regression model?

I have started a book of econometrics and in the first pages are stated the assumption used in the linear regression model, which are : The third one is the one I don't understand, why it has to be ...
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Regressing (Very) Smooth Time Series

What are the possible problems/issues of regressing smooth time series with almost no fluctuation? Here is a specific example. Is there anything I have to pay attention to when interpreting ...
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Is this an an endogeneity/simultaneity problem?

I would like to know if the logic in these two situations is correct. Situation 1: Let's say we have a continuous dependent variable, $y_1$, that then has a causal impact on an unobserved variable, $\...
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Is this an endogeneity problem?

Let's say we want to determine the impact of $y_2$ on $y_1$, which are related as follows: $$y_1 = f(y_2, x_1,e)$$ where $$e = g(y_3,x_2, u_1), \space y_2 = h(y_4,x_3, u_2), \space y_3 = m(y_4, x_4,...
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Verification of logic behind instrumental variable approach

I would like to know whether the following reasoning regarding the instrumental variable approach is acceptable. I understand there are case-by-case factors that affect the applicability of ...
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1answer
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What's the minimum number of datapoints in order to run a diff-in-diff?

I was thinking about running a diff-in-diff with fixed effect in order to deal with a panel data experiment. The problem is that I don't know how many datapoints I need in order to the experiment be ...
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1answer
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Choice between dummy variables and Likert scale in Linear Regression

I want to run a linear regression based on the data gathered using a questionnaire. Several of the questions have the following form: How much do you spend on xyz in a month? a. Less than \$50 b. \$50 ...
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Making sure the p-values of my OLS estimates are correct

I have learned the basics of the Classical Linear Regression Model and also various diagnostic tests to check if the assumptions of the CLRM are met, such as homoskedadticity, absence of near perfect ...
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Why don't economists do regression diagnostics?

There is a lot of talk about regression diagnostics in tutorials on the web, but then in economics research papers nobody actually reports residual plots, collinearity checks etc. Is there any reason ...
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Arellano and Bond (1991) GMM estimation in R by using plm package

I am a last-year student at university, currently working on my Bachelor's (so still learning R), and I really hope that you would suggest a potential solution (even if to use Python). So, the main ...
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Questions regarding ordered probit model

I am currently working on a hypothetical research proposal for a course at my university. I am using data from three Afrobarometer surveys conducted in 34 African countries in the years 2011-2013, ...
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How to calculate semi elasticity in fixed effect model with interaction

Given the model specification $$Y_{it} = \beta_1 X_{it} + \beta_2 D*X_{it} + FE_{i} + e_{it}$$ The above model specification is a Fixed effect model with interaction term ($X_{it}$ interacting with D- ...
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1answer
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The instrument in "The Colonial Origins of Comparative Development"

I am hoping to understand when an instrument is appropriate. For the purposes of this question, I'm considering a simplied version of the model in AJR (2000): $$\begin{aligned}\text{GDP} &\sim \...

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