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A traveler with endless curiosity, who fell into the ocean of statistics, tries to write down his ideas and notes to save himself.

Six Statistical Senses

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Tags: Propensity Score, Exchangeability, Data Augmentation

This note is for Craiu, R. V., Gong, R., & Meng, X.-L. (2023). Six Statistical Senses. Annual Review of Statistics and Its Application, 10(1), 699–725.

Sense 1: Selective Hearing: Informative Ignorance

  • Randomized Replications
  • Exchangeability

Sense 2: Following Our Nose: Determinacy Through Randomness

  • Monte Carlo Integration
  • Randomized Responses and Differential Privacy

Sense 3: Seeing Through: Enlightenment From Dark Data

  • Quantifying Missing-Data Mechanisms and Data Defects
  • Intentionally Constructed Dark Data

Sense 4: Magic Touch: Refinement by Confinement

  • Shrinkage Estimation and Bayesian Pooling
  • Conditioning

Sense 5: Just a Taste: Richness in Frugality

  • Bootstrap
  • Propensity Matching

Sense 6: Sense and Sensibility

  • Fiducial Inference
  • Bayesian Inference
  • Frequentist Inference

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