Design a study to analyze the causal relationship between employee training and productivity using advanced causal inference techniques.

To begin, it's crucial to clarify the objective: We aim to establish whether, how, and to what extent employee training influences productivity. This involves identifying a tangible measure of productivity that reflects employee output accurately. For instance, we might define productivity as the number of tasks completed or the revenue generated per employee per month. This metric must be clearly calculated; for example, "daily active users" could be defined as the number of unique users who logged on to at least one of our platforms during a calendar day.

Moving forward, considering the potential confounders is critical. Confounders in this context could include prior employee performance, the type of work (complexity, team-based vs. individual), and employee engagement levels. These variables can influence both the likelihood of an employee receiving training and their productivity levels....