Consider the following structural model: y1 = Bo + B132 +₂51 +21 Suppose now that there are two exogenous variables excluded from the model: 22 and 23. The assumptions that 2₂ and 23 do not appear in the model and are uncorrelated with the error ₁ are known as The linear combination that is most highly correlated with 2 is given by the reduced form equation for 32: 32 T0 + 1²1 + 7222 +T323 + V2 overidentifying restrictions exclusion restrictions 25LS rank conditions

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Consider the following structural model:
31 Bo + B1y2 + B₂²1 +21
Suppose now that there are two exogenous variables excluded from the model: 22 and 23.
The assumptions that 2₂ and 23 do not appear in the model and are uncorrelated with the error ₁ are known as
The linear combination that is most highly correlated with y2 is given by the reduced form equation for y2:
Y2 = πO +1Z1 +T2Z2 + N3Z3+V2
E(v2) = 0, Cov(21, v2) = 0, Cov(22, 2) = 0, and Cov(23, 12) = 0.
overidentifying restrictions
exclusion restrictions
2SLS
rank conditions
Transcribed Image Text:Consider the following structural model: 31 Bo + B1y2 + B₂²1 +21 Suppose now that there are two exogenous variables excluded from the model: 22 and 23. The assumptions that 2₂ and 23 do not appear in the model and are uncorrelated with the error ₁ are known as The linear combination that is most highly correlated with y2 is given by the reduced form equation for y2: Y2 = πO +1Z1 +T2Z2 + N3Z3+V2 E(v2) = 0, Cov(21, v2) = 0, Cov(22, 2) = 0, and Cov(23, 12) = 0. overidentifying restrictions exclusion restrictions 2SLS rank conditions
The linear combination that is most highly correlated with 32 is given by the reduced form equation for y2:
Y2 = πO +1Z1 +T2Z2 + N3Z3+V2
E(v2) = 0, Cov(21, v2) = 0, Cov(22, 2) = 0, and Cov(23, v2) = 0.
Which of the following is the best IV for y2?
Oy₂ = πO + #1²1 + 7222 + 7323
Oy₂ = πO + 121 +222 +2
Oy₂ = πO+π121 +222 +7323 +22
Oy₂ = πO + 1²1 + 7222
overidentifying restrictions
O T2 #0 and 3 #0
O T1 #0 and ₂ #0 or π3 #0
O π₁ #0 or π₂ #0 and T3 #0
O π₂0 or π3 #0
exclusion restrictions
2SLS
rank conditions
What is the least restrictive assumption we need to impose on the parameters in order for the instrument y to not be perfectly correlated with z₁?
Transcribed Image Text:The linear combination that is most highly correlated with 32 is given by the reduced form equation for y2: Y2 = πO +1Z1 +T2Z2 + N3Z3+V2 E(v2) = 0, Cov(21, v2) = 0, Cov(22, 2) = 0, and Cov(23, v2) = 0. Which of the following is the best IV for y2? Oy₂ = πO + #1²1 + 7222 + 7323 Oy₂ = πO + 121 +222 +2 Oy₂ = πO+π121 +222 +7323 +22 Oy₂ = πO + 1²1 + 7222 overidentifying restrictions O T2 #0 and 3 #0 O T1 #0 and ₂ #0 or π3 #0 O π₁ #0 or π₂ #0 and T3 #0 O π₂0 or π3 #0 exclusion restrictions 2SLS rank conditions What is the least restrictive assumption we need to impose on the parameters in order for the instrument y to not be perfectly correlated with z₁?
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