Table A1.
Mean Percentage of Relative Bias
Estimator |
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MIIV-2SLS |
pseudo-ML |
Kalman Filter |
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Time Series Length |
Time Series Length |
Time Series Length |
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Parameter | T = 50 | T = 100 | T = 250 | T = 500 | T = 50 | T = 100 | T = 250 | T = 500 | T = 50 | T = 100 | T = 250 | T = 500 |
Correct Measurement Model, All Elements of Φ Estimated | ||||||||||||
ϕ11 | −15 | −7 | −2 | −l | −11 | −6 | −2 | −l | −13 | −7 | −2 | −l |
ϕ12 | −17 | −7 | −0 | −2 | 12 | l | l | −l | −15 | −11 | −4 | −2 |
ϕ22 | −17 | −9 | −4 | −2 | −21 | −10 | −4 | −2 | −l7 | −8 | −3 | −2 |
l | l | 0 | 0 | 3 | 2 | 0 | 1 | 1 | 1 | 0 | l | |
1 | −1 | 1 | −0 | 3 | 2 | l | 0 | 0 | 0 | 0 | 0 | |
−6 | −2 | −2 | −0 | 0 | −l | −0 | −0 | 1 | 0 | 0 | 0 | |
−2 | 1 | −1 | −0 | 5 | 2 | 0 | 0 | 3 | L | 0 | 0 | |
1 | 1 | −0 | −0 | 5 | 3 | 0 | 0 | 2 | 2 | 0 | 0 | |
Δ Percentage of Relative Bias from Model 1 Due to Omission of | ||||||||||||
ϕ11 | 0 | 0 | 0 | 0 | 13 | l2 | l2 | 12 | 11 | 10 | 10 | 10 |
ϕ12 | 0 | 0 | 0 | 0 | −31 | −30 | −31 | −31 | −23 | −22 | −22 | −23 |
ϕ22 | 0 | 0 | 0 | 0 | −l | −0 | 0 | 0 | 1 | 1 | 1 | L |
0 | 0 | 0 | 0 | L | L | 1 | 1 | −l | 0 | 0 | 0 | |
53 | 59 | 61 | 63 | 71 | 72 | 74 | 75 | 65 | 67 | 69 | 69 | |
0 | 0 | 0 | 0 | 0 | 0 | 0 | −0 | 1 | l | l | 0 | |
0 | 0 | 0 | 0 | 1 | l | 0 | −0 | 1 | l | 1 | 0 | |
Δ Percentage of Bias from Model 1 Due to Omission of ϕ21 and ϕ12 | ||||||||||||
ϕ11 | −6 | −9 | −10 | −10 | −10 | −10 | −10 | −10 | −6 | −7 | −9 | −9 |
ϕ22 | 6 | 3 | 2 | 1 | l7 | 13 | 11 | 11 | 15 | 13 | 13 | 12 |
0 | 0 | 0 | 0 | −0 | −0 | −0 | −0 | 0 | 0 | 0 | −0 | |
0 | 0 | 0 | 0 | 2 | 1 | L | l | 2 | 2 | 2 | 2 | |
0 | 0 | 0 | 0 | −2 | −2 | −2 | −2 | −l | −2 | −2 | −2 | |
0 | 0 | 0 | 0 | −1 | 0 | −0 | −0 | 1 | 1 | 0 | 0 | |
0 | 0 | 0 | 0 | 0 | 0 | −0 | −0 | 1 | 1 | 0 | 0 |