Sensitivity analysis for nonignorable missing values in blended analysis framework: a study on the effect of bariatric surgery via electronic health records

This paper establishes a series of sensitivity analyses to investigate the impact of missing values in the electronic health records (EHR) that are possibly missing not at random (MNAR). EHRs have gained tremendous interest due to their cost-effectiveness, but their employment for research involves numerous challenges, such as selection bias due to missing data. The blended analysis has been suggested to overcome such challenges, which decomposes the data provenance into a sequence of sub-mechanisms and uses a combination of inverse-probability weighting (IPW) and multiple imputation (MI) under missing at random assumption (MAR). In this paper, we expand the blended analysis under the MNAR assumption and present a sensitivity analysis framework to investigate the effect of MNAR missing values on the analysis results. We illustrate the performance of my proposed framework via numerical studies and conclude with strategies for interpreting the results of sensitivity analyses. In addition, we present an application of our framework to the DURABLE data set, an EHR from a study examining long-term outcomes of patients who underwent bariatric surgery.