## Statistical Science Theses and Dissertations

#### Abstract

In this dissertation, we explore sensitivity analyses under three different types of incomplete data problems, including missing outcomes, missing outcomes and missing predictors, potential outcomes in \emph{Rubin causal model (RCM)}. The first sensitivity analysis is conducted for the \emph{missing completely at random (MCAR)} assumption in frequentist inference; the second one is conducted for the \emph{missing at random (MAR)} assumption in likelihood inference; the third one is conducted for one novel assumption, the sixth assumption'' proposed for the robustness of instrumental variable estimand in causal inference.

Spring 5-16-2020

Thesis

Ph.D.

#### Department

Department of Statistical Science

Daniel F. Heitjan

Statistics