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1 results

  • 5 - Statistical Inference and Experimental Data Analysis

  • Luca Leuzzi, National Research Council of Italy, Enzo Marinari, Sapienza Università di Roma, Giorgio Parisi, Sapienza Università di Roma
  • Book:
    Probability Theory for Quantitative Scientists
    Published online:
    24 July 2025
    Print publication:
    14 August 2025, pp 117-160

  • Summary

    Analysis of experimental scalar data is tackled here. Starting from basic analysis of a large number of well-behaved data, eventually displaying Gaussian distributions, we move on to Bayesian inference and face the cases of few (or no) data, sometimes badly behaved. We first present methods to analyze data whose ideal distribution is known, and then we show methods to make predictions even when our ignorance about the data distribution is total. Eventually, various resampling methods are provided to deal with time-correlated measurements, biased estimators, anomalous data, and under- or over-estimation of statistical errors.