Dear Applied Statistics Workshop Community,

Our next meeting of the semester will be on April 5 (12:00 EST). Fredrik Sävje will present "A Design-Based Riesz Representation Framework for Randomized Experiments."

<Where>
CGIS K354
Bagged lunches are available for pick-up at 11:45 (CGIS K354).
Zoom: https://harvard.zoom.us/j/99181972207?pwd=Ykd3ZzVZRnZCSDZqNVpCSURCNnVvQT09

<Abstract>
We describe a new design-based framework for drawing causal inference in randomized experiments. Causal effects in the framework are defined as linear functionals evaluated at potential outcome functions. Knowledge and assumptions about the potential outcome functions are encoded as function spaces. This makes the framework expressive, allowing experimenters to formulate and investigate a wide range of causal questions. We describe a class of estimators for estimands defined using the framework and investigate their properties. The construction of the estimators is based on the Riesz representation theorem. We provide necessary and sufficient conditions for unbiasedness and consistency. Finally, we provide conditions under which the estimators are asymptotically normal, and describe a conservative variance estimator to facilitate the construction of confidence intervals for the estimands.