The Philosophy and Practice of Resampling Statistics

by Julian L. Simon

• Preview and Preface

• Introduction

• Part I: General Philosophy of Statistical Inference

  • Chapter I-1 - The Role of Statistical Inference in Acquiring Knowledge
  • Chapter I-2 - Statistical Inference and Random Sampling
  • Chapter I-3 - Probability and Chance: Their Nature and Meaning
  • Chapter I-4 - The Philosophical Dispute About the Concept of Probability
  • Chapter I-5 - The Role of Judgment in Statistical Inference
  • Chapter I-6 - The Relationship Between Probability Calculations and Statistical Inference

• Part II: The Practice of Statistics and Resampling

  • Chapter II-1 - Translating Scientific Questions into Probabilistic and Statistical Questions
  • Chapter II-2 - Testing Hypotheses
  • Chapter II-3 - Confidence Intervals 1
  • Chapter II-4 - Confidence Intervals 2
  • Chapter II-5 - The Place and Role of Bayes' Rule and Bayesian Analysis

• Part III: The Natures of Simulation and Resampling

  • Chapter III-1 - Introduction to the Resampling Method with Examples
  • Chapter III-2 - Background and Analysis of the Resampling Method
  • Chapter III-3 - Why the Formal Method is Usually Theoretically Inferior to Simulation and Resampling
  • Chapter III-4 - What "Monty Hall" Teaches About the Theory of Resampling: Some Difficult Problems, and the Computation of Sample Spaces
  • Chapter III-5 - Bayesian Analysis by Simulation
  • Chapter III-6 - Experimentation, Sample Space Analysis, Simulation, and Formulaic Theory: Their Natures and Interrelationships

• Part IV: Special Theoretical Topics

  • Chapter IV-1 - Introduction to the Resampling Method with Examples
  • Chapter IV-2 - Background and Analysis of the Resampling Method
  • Chapter IV-3 - Why the Formal Method is Usually Theoretically Inferior to Simulation and Resampling