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Questions › DSE › DSE 2015 › Q45
2 marks, −0.666666666666667Econometrics › Misspecification and measurement error › Irrelevant variables and functional-form misspecificationModerateabout 3 min

DSE 2015 Question 45: Misspecification and measurement error

An analyst estimates Y=β0+β1X1+β2X2+β3X3+uY=\beta_0+\beta_1X_1+\beta_2X_2+\beta_3X_3+uY=β0​+β1​X1​+β2​X2​+β3​X3​+u by OLS, but the true β3=0\beta_3=0β3​=0. By including the irrelevant X3X_3X3​,

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Plain-text version

An analyst estimates Y=β₀+β₁X₁+β₂X₂+β₃X₃+u by OLS, but the true β₃=0. By including the irrelevant X₃, (A) there is no harm, as all estimates remain unbiased and efficient (B) all estimates become biased and inconsistent (C) the estimates remain unbiased but have larger standard errors (D) the estimates may be biased but remain efficient

Also written as: An analyst estimates Y=beta_0+beta_1X_1+beta_2X_2+beta_3X_3+u by OLS, but the true beta_3=0. By including the irrelevant X_3,

Misspecification and measurement error has come up 11 times in 4 exams since 2011.

What this question tests

This question is on Irrelevant variables and functional-form misspecification, part of Misspecification and measurement error in Econometrics.

The cost of including a variable that does not belong, and of using the wrong functional form.

TestStop has 7 past-paper questions on this subtopic.

Practise Misspecification and measurement errorMore on Irrelevant variables and functional-form misspecification

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Question from the DSE 2015 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.