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