a. In an IV regression model with one endogenous regressor, X, and two instruments, Z1 and Z2, the value of the J-statistic is J = 18.2. This suggests that E(ui |Zli, Z2i) = 0. Is it true or false? %3D %3D

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a. In an IV regression model with one endogenous
regressor, X, and two instruments, Z1 and Z2, the
value of the J-statistic is J = 18.2. This suggests that
E(ui |Z1i, Z2i) = 0. Is it true or false?
b. Suppose that a true population IV regression
model contains one endogenous regressor, X, one
exogenous regressor, W, and one instrument, Z.
Assume that data on W are not available and the
model is estimated omitting W from the regression.
Suppose that Z and W are uncorrelated. Then the IV
estimator is inconsistent. Is it true or false?
Transcribed Image Text:a. In an IV regression model with one endogenous regressor, X, and two instruments, Z1 and Z2, the value of the J-statistic is J = 18.2. This suggests that E(ui |Z1i, Z2i) = 0. Is it true or false? b. Suppose that a true population IV regression model contains one endogenous regressor, X, one exogenous regressor, W, and one instrument, Z. Assume that data on W are not available and the model is estimated omitting W from the regression. Suppose that Z and W are uncorrelated. Then the IV estimator is inconsistent. Is it true or false?
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