Confidence bands for polynomial regression with fixed intercepts

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

Confidence bands are considered for linear and quadratic regression when the regression equation is forced through a fixed point. In the linear case, it is noted that the construction of confidence bands reduces to the construction of a confidence interval on the slope parameter. The corresponding bands are straight lines whose widths are independent of the size of the set over which the band is constructed. The construction for the quadratic case involves more complex arguments; these are developed, and tables are presented for band use in both the homoscedastic and heteroscedastic settings. An example is included.

Original languageEnglish (US)
Pages (from-to)241-246
Number of pages6
JournalTechnometrics
Volume28
Issue number3
DOIs
StatePublished - Aug 1986
Externally publishedYes

Keywords

  • Quadratic regression
  • Regression through the origin
  • Simultaneous inference
  • Weighted least squares

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics

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