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Assessing model error in counterfactual worlds
Emily Howerton1, Justin Lessler2
1Princeton University , Princeton, NJ, USA.
Abstract:
Counterfactual scenario modelling exercises that ask 'what would happen if?' are one of the most common ways we plan for the future. Despite their ubiquity in planning and decision-making, scenario projections are rarely evaluated retrospectively. Differences between projections and observations come from two sources: scenario deviation and model miscalibration. We argue the latter is most important for assessing the value of models in decision-making, but requires estimating model error in counterfactual worlds. Here, we present and contrast the theory underlying three approaches for estimating this error, which are possible when observations can inform alternative models of scenario assumptions. We use a simulation experiment to demonstrate the benefits and limitations of each under favourable conditions. Our results illustrate the conditions under which counterfactual errors can be estimated in order to evaluate scenario projections. We further outline how scenarios can be designed to maximize evaluability. This work can serve as the basis for further explorations into scenario evaluation under a variety of conditions using simulation studies and real-world application.
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Null and Alternative Hypotheses
The null hypothesis, denoted by H0 is a statement of no difference between the variables—they are not related. This can often be considered the status quo. As a result if you cannot accept the null, it requires some action.
The alternative hypothesis, denoted by H1 or Ha, is a claim about the population that is...
