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On the Identification of Misspecified Propensity Scores - School of ...

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TABLE 7: P, Z[18]<br />

c=0.05<br />

Proportion <strong>of</strong> Rejections<br />

1% level 5% level 10% level<br />

n=100 0.000 0.011 0.053<br />

n=200 0.001 0.016 0.070<br />

n=400 0.005 0.033 0.079<br />

n=500 0.005 0.038 0.106<br />

n=800 0.012 0.059 0.125<br />

n=1000<br />

c=0.10<br />

0.009 0.067 0.131<br />

n=100 0.002 0.030 0.085<br />

n=200 0.005 0.052 0.110<br />

n=400 0.011 0.072 0.126<br />

n=500 0.014 0.082 0.157<br />

n=800 0.041 0.132 0.210<br />

n=1000<br />

c=0.15<br />

0.063 0.175 0.294<br />

n=100 0.002 0.046 0.106<br />

n=200 0.008 0.061 0.115<br />

n=400 0.035 0.109 0.176<br />

n=500 0.043 0.141 0.227<br />

n=800 0.107 0.271 0.370<br />

n=1000 0.166 0.373 0.494<br />

DGP: D ∗ = 1 + X1 + X2 + X1X2 − ǫi, ǫ ∼ N(0, σ 2 )<br />

Estimated model: Q(X, β) = Φ(β 0 +β 1X1+β 2X2)

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