Used in statistical analysis to represent the uncertainty in an estimate of a curve or function based on limited or noisy data.

University of Michigan - Ann Arbor

1. Analysis of variance (a special case of regression analysis)
2. constructing simultaneous confidence bands for regressions involving basis functions.

What is Scheffe's method useful for?

James, G., Witten, D., Hastie, T., & Tibshirani, R. (2013). An introduction to statistical learning (Vol. 112, pp. 3-7). New York: springer.

An Introduction to Statistical Learning with Applications in R

Confidence Bands

An element of a particular basis for a function space.
Every continuous function in the function space can be represented as a linear combination of basis functions, just as every vector in a vector space can be represented as a linear combination of basis vectors.

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