Simulation-Based Inference

Learn about hypothesis testing for a slope in simulation-based inference for regression.

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Hypothesis test for a slope

Let’s now conduct a hypothesis test of H0 : β1=0H_0\space:\space\beta_1=0 vs. HA : β10H_A\space:\space\beta_1\neq0. We’ll use the infer package, which follows the hypothesis testing paradigm in the diagram below.

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Allen Downey’s hypothesis testing framework
Allen Downey’s hypothesis testing framework

Let’s first think about what it means for β1\beta_1 ...