# 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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### How can I test for autoregressive residual terms in a fixed effects panel Poisson model?

I have panel data for counts of new firms in different regions for six years. I am estimating a static poisson regression with multiplicative fixed effects$^*$; I have also tried to estimate a dynamic ...
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### R reproducible example, restrictions on cointegrating equations

The code given below estimates a VEC model with 4 cointegrating vectors. It is a reproducible code, so just copy and paste into your R console (or script editor). ...
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### Explanation of paper's econometric assumptions

The authors of this paper (http://andrewleigh.org/pdf/GunBuyback_Panel.pdf) appear to be essentially regressing the change in the death rate to the change in guns from a gun buy back in Australia, at ...
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### Econometrics: Weights in regression that contains averages

Let's say I have a regression of the form: $$y_j=a_0+a_1*T_j+a_2*X_j+u_j$$ where $j$ stands for county, and $y$ and $X$ are averages over worker outcomes/characteristics for each county, and $T$ is ...
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### Non parametric and parametric tests of martingale?

A martingale is a model in which the expectation for the next value is equal to the presently observed value, even given knowledge of prior values, ie $E(X_{n+1} |X_1, X_2, ..,X_n)=X_n$ What tests ...
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### AR(q) Strongly Stationary

Consider an AR(q) process, $u_t$. If the roots of a characteristic polynomial are outside of the unit circle, the AR(q) process is weakly stationary. I've seen this proof that proceeds by showing the ...
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### Get empirical steady state moments for calibrating a DSGE model

I want to calibrate some parameters of my DSGE model so that in the steady state some variable ratios, that are present in data, are met. My question is, how do I get such ratios from time series ...
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### If we clustered by country, why we need to cluster by firms and industry?

From this discussion, it seems to me that if the test survives when clustering by countries, we do not need to cluster by industries or firms because firms and industries for sure have more ...
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### Which statstical method/model should I use with my study?

my dear fellows. I mainly do experimental research, so I run experiments in which participants play a game repeatedly (for 20 periods for example). The dataset I get after the experiments would be ...
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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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### Instrumental variable regression: How many interpretations?

I was reading Amemiya "Non-linear regression models" (1983) in which he says that This statement should not be construed as a criticism of Theil's interpretation. I know of at least six ...
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### Proof of Criteria for Local Identification in Rothenberg (1971)

My question is regarding Theorem 1 (page 579) of Rothenberg (1971). It is associated with four assumptions given on the same page. But, I only have a question about a single step of the proof, so I ...
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### What is the observable definition of “preference” by Frisch?

To make things weird, although Frisch was fully aware of the importance of random distribution in economics relations, he never mention the randomness in binary preference relations! How to define ...
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### Continuous logit models - random utility with uncountable choice set

This question is about the mathematical foundations of the continuous logit model, as derived in McFadden (1976) (https://eml.berkeley.edu/reprints/mcfadden/math_theory.pdf) and Ben-Akiva et al (1985) ...
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### How reliable is ECB's financial derivatives data?

I am trying to use QSA financial derivatives data retrieved from the ECB's database (this is actually compiled by ECB and Eurostat). To be more specific, the data is: Financial derivatives held as ...
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### Applying the Martingale central limit theorem to the score process of an autoregressive model

This question is a natural continuation of the following question: How do I construct the score process of a Markov model and verify that it is a Martingale? In this problem, we set up as follows: ...
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### Differences between LATE and Heckman Selection

I have heard that a paper by Heckman and Vytlacil demonstrate comparisons between nonparametric Heckman selection (NP Heckit) and the LATE (local average treatment effect) framework. Could someone ...
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### Difference between AR confidence intervals reported in weakiv versus twostepweakiv

Should the Anderson-Rubin confidence intervals reported in weakiv and twostepweakiv be equal to each other? Sun (2018) does not ...
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### Sample size and statistical significance dicussion

As we know, sample size can play a role in reaching statistical significance, provided that splitting the quant world in what is and what is not statistically significant is probably an overestimated/...
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### Econometrics - Panel Data: Relationship between total, within and between

I need to prove the following statement, which is $\hat{\beta}_{total} = W(x)\hat{\beta}_{within} + (I-W(x))\hat{\beta}_{between}$, where $\hat{\beta}_{within}$ is the fixed effect estimator(i.e. the ...
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### Measure of Public Transportation Efficiency (Consumer side)

I'm looking for data on public transportation efficiency for consumers by city or county. In some places you can get across town in under 20min and in other places it takes 2hrs and this likely has ...
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### Methodology of Estimating Economic Costs?

To be specific, I am currently devising an honours thesis proposal to estimate the effects of a lack of competition in consumer electronic repair markets on variables such as firm profits, consumer ...
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### t test and F test are equivalent under single restriction case

In Classic linear regression model, under the single restriction $$y=X\beta +u$$ $$H_0: \beta_j=0$$ If I apply t test, then the t statistic is derived as follows $$\frac{b_j-\beta_j}{s\sqrt{a_{jj}}}$$ ...
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### Is a spatial effect a random or a fixed effect?

Below is the definition taken from Wikipedia(with some minor alterations) Consider the linear unobserved effects model for N observations and $T$ time periods: :\$y_{it} = X_{it}\mathbf{\beta}+\alpha_{...