Consider the following simple regression model y = 0 + 1x1 + u. Suppose z is an instrument for x. Which of the following statements is true?

A) The condition Cov(z,u) = 0 can be tested statistically. B) The condition Cov(z,x) 0 cannot be tested statistically. C) The instrumental variables estimator is always biased if Cov(x,u) 0. D) The ordinary least squares estimator is unbiased if Cov(x,u) 0 . A) The condition Cov(z,u) = 0 can be tested statistically. B) The condition Cov(z,x) 0 cannot be tested statistically. C) The instrumental variables estimator is always biased if Cov(x,u) 0. D) The ordinary least squares estimator is unbiased if Cov(x,u) 0 .

Consider the following simple regression model y = β0 + β1x1 + u. Suppose Corr(x,u) > 0, Corr(z,x) > 0, and Corr(z,u) < 0. Then, the IV estimator has a(n) _____.

A) downward bias B) asymptotic bias C) upward bias D) substantial bias A) downward bias B) asymptotic bias C) upward bias D) substantial bias

Exam 15: Instrumental Variables Estimation and Two Strage Least Squares

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Consider the following simple regression model y = ₀ + ₁x₁ + u. Suppose z is an instrument for x. Which of the following statements is true?

(Multiple Choice)

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Question 21

The two stage least squares estimator is less efficient than the ordinary least squares estimator when the explanatory variables are exogenous.

(True/False)

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Question 22

Consider the following simple regression model y = ₀ + ₁x₁ + u. Suppose z is an instrument for x. if Cov(z,u) = 0 and Cov(z,x) 0, the value of ₁ in terms of population covariances is _____.

(Multiple Choice)

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Question 23

Which of the following assumptions is known as exclusion restrictions?

(Multiple Choice)

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Question 24

Consider the following simple regression model y = β₀ + β₁x₁ + u. Suppose Corr(x,u) > 0, Corr(z,x) > 0, and Corr(z,u) < 0. Then, the IV estimator has a(n) _____.

(Multiple Choice)

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Question 25

Increasing the number of overidentifying restrictions can cause severe biases in two stage least squares estimators.

(True/False)

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Question 26

Instrumental variables cannot be used for estimating a regression equation if the regression model suffers from the measurement error problem.

(True/False)

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Question 27

A reduced form equation expresses an exogenous variable in terms of endogenous variables.

(True/False)

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Question 28

The test for overidentifying restrictions is valid if _____.

(Multiple Choice)

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Question 29

Showing 21 - 29 of 29

Consider the following simple regression model y = ₀ + ₁x₁ + u. Suppose z is an instrument for x. Which of the following statements is true?

The two stage least squares estimator is less efficient than the ordinary least squares estimator when the explanatory variables are exogenous.

Consider the following simple regression model y = ₀ + ₁x₁ + u. Suppose z is an instrument for x. if Cov(z,u) = 0 and Cov(z,x) 0, the value of ₁ in terms of population covariances is _____.

Which of the following assumptions is known as exclusion restrictions?

Consider the following simple regression model y = β₀ + β₁x₁ + u. Suppose Corr(x,u) > 0, Corr(z,x) > 0, and Corr(z,u) < 0. Then, the IV estimator has a(n) _____.

Increasing the number of overidentifying restrictions can cause severe biases in two stage least squares estimators.

Instrumental variables cannot be used for estimating a regression equation if the regression model suffers from the measurement error problem.

A reduced form equation expresses an exogenous variable in terms of endogenous variables.

The test for overidentifying restrictions is valid if _____.

The Nature of Econometrics and Economic Data

The Simple Regression Model

Multiple Regression Analysis Estimation

Multiple Regression Analysis Inference

Multiple Regression Analysis Ols Asymptotics

Multiple Regression Analysis Further Issues

Multiple Regression Analysis With Qualitative Information

Heteroskedasticity

More on Specification and Data Issues

Basic Regression Analysis With Time Series Data

Further Issues in Using Ols With Time Sries Data

Serial Correlation and Heteroskedasticity in Time Series Regressions

Pooling Cross Sections Across Time Simple Panel Data Methods

Advanced Panel Data Methods

Simultaneous Equations Models

Limited Dependent Variable Models and Sample Selection Correctons

Advanced Time Series Topics

Carrying Out an Empirical Project

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Exam 15: Instrumental Variables Estimation and Two Strage Least Squares

Consider the following simple regression model y = 0 + 1x1 + u. Suppose z is an instrument for x. Which of the following statements is true?

The two stage least squares estimator is less efficient than the ordinary least squares estimator when the explanatory variables are exogenous.

Consider the following simple regression model y = 0 + 1x1 + u. Suppose z is an instrument for x. if Cov(z,u) = 0 and Cov(z,x) 0, the value of 1 in terms of population covariances is _____.

Which of the following assumptions is known as exclusion restrictions?

Consider the following simple regression model y = β0 + β1x1 + u. Suppose Corr(x,u) > 0, Corr(z,x) > 0, and Corr(z,u) < 0. Then, the IV estimator has a(n) _____.​

Increasing the number of overidentifying restrictions can cause severe biases in two stage least squares estimators.

Instrumental variables cannot be used for estimating a regression equation if the regression model suffers from the measurement error problem.

A reduced form equation expresses an exogenous variable in terms of endogenous variables.

The test for overidentifying restrictions is valid if _____.

The Nature of Econometrics and Economic Data

The Simple Regression Model

Multiple Regression Analysis Estimation

Multiple Regression Analysis Inference

Multiple Regression Analysis Ols Asymptotics

Multiple Regression Analysis Further Issues

Multiple Regression Analysis With Qualitative Information

Heteroskedasticity

More on Specification and Data Issues

Basic Regression Analysis With Time Series Data

Further Issues in Using Ols With Time Sries Data

Serial Correlation and Heteroskedasticity in Time Series Regressions

Pooling Cross Sections Across Time Simple Panel Data Methods

Advanced Panel Data Methods

Simultaneous Equations Models

Limited Dependent Variable Models and Sample Selection Correctons

Advanced Time Series Topics

Carrying Out an Empirical Project

Filters

Consider the following simple regression model y = ₀ + ₁x₁ + u. Suppose z is an instrument for x. Which of the following statements is true?

Consider the following simple regression model y = ₀ + ₁x₁ + u. Suppose z is an instrument for x. if Cov(z,u) = 0 and Cov(z,x) 0, the value of ₁ in terms of population covariances is _____.

Consider the following simple regression model y = β₀ + β₁x₁ + u. Suppose Corr(x,u) > 0, Corr(z,x) > 0, and Corr(z,u) < 0. Then, the IV estimator has a(n) _____.