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A Statistical Inference Course Based on p-Values
Authors:Ryan Martin
Institution:1. Department of Statistics, North Carolina State University, Raleigh, NC;2. Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, IL
Abstract:Introductory statistical inference texts and courses treat the point estimation, hypothesis testing, and interval estimation problems separately, with primary emphasis on large-sample approximations. Here, I present an alternative approach to teaching this course, built around p-values, emphasizing provably valid inference for all sample sizes. Details about computation and marginalization are also provided, with several illustrative examples, along with a course outline. Supplementary materials for this article are available online.
Keywords:Confidence interval  Large-sample theory  Monte Carlo  Teaching statistics  Valid inference
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