Speaker
Description
This work introduces a foundation modeling strategy that integrates Item Response Theory (IRT) and the potential outcome (PO) framework to estimate the heterogeneous and average treatment effect (HTE and ATE, respectively) of randomly assigned interventions in experimental settings. This approach allows to automatically correct for measurement errors when eliciting individual latent characteristics through multiple Likert scale inquiries, making sure that the resulting uncertainty propagates to the causal estimands of interest. Placing Normal priors on these unobservable features, we show that the distribution of the POs is also Normal, enabling the explicit derivation of posterior predictive distributions for all the counterfactual quantities, which are then used to construct imputation estimators for the HTE and ATE. The latter are validated through simulations, which highlight how the proposed approach effectively recovers the underlying coefficients at different sample sizes under weakly informative priors. We implement the proposed methodology in a simple case study in which we evaluate the impact of a negative Nutriscore (NS) label on the Perceive Healthiness (PH) of a hard cheese product. Using a representative sample of Italian and Dutch consumers, we estimate a negative overall effect of low NS ranking on respondents’ PH. Moreover, we use HTEs to address treatment effect heterogeneity at different levels of predetermined (exogenous) covariates representing the main demographic characteristics of our sample. Using a simple regression tree fir to the posterior mean of the individual-level treatment effects, our results suggest that middle-aged individuals with no child tend to exhibit, on average, the sharpest drop in PH when confronted with a negative NS.
Keywords | Item Response Theory, Measurement Error, Causal Inference, Heterogeneous Treatment Effect, Average Treatment Effect |
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Status of your work | First results |
Early Career Researcher Award | No, the paper is not eligible |