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Everything about Tolerance interval

Type of statistical probability

A tolerance interval (TI) is a statistical interval within which, with some confidence level, a specified sampled proportion of a population falls. "More specifically, a 100×p%/100×(1−α) tolerance interval provides limits within which at least a certain proportion (p) of the population falls with a given level of confidence (1−α)." "A (p, 1−α) tolerance interval (TI) based on a sample is constructed so that it would include at least a proportion p of the sampled population with confidence 1−α; such a TI is usually referred to as p-content − (1−α) coverage TI." "A (p, 1−α) upper tolerance limit (TL) is simply a 1−α upper confidence limit for the 100 p percentile of the population." Wikipedia →

🧭 Start here: a 6-step reading path

  1. Read the overview: Tolerance intervalA 5-minute orientation
  2. Skim a recent paper: Plant Responses and Tolerance to Salt Stress: Physiological and Molecular InterventionsInfluential work since 2022
  3. Pick up a classic book: The theory of statistical inferenceThe most-reprinted book on the subject
  4. Read the landmark paper: Constraint reasoning based on interval arithmetic: the tolerance propagation approachCited 130 times
  5. Go sideways: Prediction intervalA closely related topic
  6. Go sideways: Confidence intervalA closely related topic

📖 Definitions

No dictionary entry for this exact phrase.

🗂️ The subject at a glance

  1. Definition
  2. Calculation
  3. Relation to other intervals
  4. Examples

🏆 Landmark papers (most cited)

🆕 Influential since 2022

📚 Books worth reading

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