Thinking About Statistics

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Bridging statistics and philosophy, this book explores the conceptual foundations of various statistical methodologies, including Bayesian and frequentist statistics, model selection, and machine learning. It presents statistical inference as an epistemic process aimed at justifying hypotheses regarding probabilistic models of empirical problems. The text delves into the ontological, semantic, and epistemological assumptions underpinning inductive inference, characterizing methodologies by their epistemological nature: internalist for Bayesian, externalist for classical, pragmatist for model selection, and virtue epistemology for deep learning.