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Everything about Normalization (statistics)

Statistical procedure

In statistics and applications of statistics, normalization can have a range of meanings. In the simplest cases, normalization of ratings means adjusting values measured on different scales to a notionally common scale, often prior to averaging. In more complicated cases, normalization may refer to more sophisticated adjustments where the intention is to bring the entire probability distributions of adjusted values into alignment. In the case of normalization of scores in educational assessment, there may be an intention to align distributions to a normal distribution. A different approach to normalization of probability distributions is quantile normalization, where the quantiles of the different measures are brought into alignment. Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Normalization (statistics)A 5-minute orientation
  2. Skim a recent paper: Cluster-Instance Normalization: A Statistical Relation-Aware Normalization for Generalizable Person Re-IdentificationInfluential work since 2022
  3. Pick up a classic book: Level-Crossing Problems and Inverse Gaussian DistributionsThe most-reprinted book on the subject
  4. Read the landmark paper: The robustness of test statistics to nonnormality and specification error in confirmatory factor analysis.Cited 4,277 times
  5. Go sideways: StudentizationA closely related topic
  6. Go sideways: Student's t-distributionA closely related topic

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🏆 Landmark papers (most cited)

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