(a) , , and hence ;
(b) , , , and hence ;
(c) , , , , , hence and ;
(d) , , , , , hence and .
(1) Bias in the point estimate: ;
(2) Sampling variability of the point estimate: ;
(3) Mean square error: ;
(4) Approximate bias in the standard error estimate: .
Correct Specification: (a), (b), (c), (d)
Misspecification of a Nonliear Propensity Score Model: (a), (b), (c), (d)
Misspeification of a Non-Additive Propensity Score Model: (a), (b), (c), (d)
Correct Specification: (a), (b), (c), (d)
Misspecification of a Nonliear Outcome Model: (a), (b), (c), (d)
Misspeification of a Non-Additive Outcome Model: (a), (b), (c), (d)
(c*) , , , , , hence and ;
(d*) , , , , , hence and .