This document discusses incentive compatible privacy-preserving data analysis. It proposes techniques that would motivate participating parties in data analysis tasks to provide truthful private inputs. Key theorems are developed to analyze what types of distributed data analysis functionalities could be implemented in a way that parties are incentivized to provide their true private data, such as certain data analysis tasks being in the best interest of parties to tell the truth. The number of dishonest parties is assumed to be at most one less than the total number of parties engaged in the analysis.