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. Author manuscript; available in PMC: 2018 Jan 5.
Published in final edited form as: J Am Stat Assoc. 2017 Jan 5;111(516):1454–1465. doi: 10.1080/01621459.2016.1167693

Table 4.

Posterior mean and 95% credible interval for the quantities of interest under each missingness assumption. The posterior probability row gives the probability that the exercise treatment is superior: higher cessation rate, lower weight change, lower correlation.

Missing data assumption

Quantity
of interest
Treatment Zit MAR
Wit MAR
Zit MNAR
Wit MNAR
Zit MNAR
Wit MAR
Qit = 0 if missing
Wit MAR
Wellness 0.53 (0.40, 0.65) 0.50 (0.37, 0.63) 0.50 (0.37, 0.63) 0.30 (0.21, 0.39)
P (QiT = 1) Exercise 0.47 (0.35, 0.59) 0.44 (0.32, 0.56) 0.43 (0.32, 0.56) 0.28 (0.20, 0.37)
Post. prob. 0.25 0.24 0.23 0.42
Wellness 3.0% (2.3, 3.8) 2.9% (2.2, 3.6) 3.0% (2.2, 3.7) 2.6% (1.8, 3.3)
E(WiT) Exercise 3.0% (2.3, 3.7) 2.8% (2.0, 3.4) 3.0% (2.3, 3.6) 2.7% (2.1, 3.4)
Post. prob. 0.51 0.61 0.51 0.38
Wellness 0.18 (− 0.08, 0.42) 0.18 (− 0.08, 0.42) 0.18 (− 0.07, 0.42) 0.21 (0.02, 0.39)
corr(QiT, WiT) Exercise 0.13 (− 0.14, 0.36) 0.13 (− 0.13, 0.36) 0.13 (− 0.14, 0.36) 0.17 (− 0.04, 0.35)
Post. prob. 0.61 0.59 0.61 0.62