### 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 language | English (US) |
---|---|

Pages (from-to) | 241-246 |

Number of pages | 6 |

Journal | Technometrics |

Volume | 28 |

Issue number | 3 |

State | Published - Aug 1986 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Mathematics(all)
- Statistics and Probability

### Cite this

*Technometrics*,

*28*(3), 241-246.

**CONFIDENCE BANDS FOR POLYNOMIAL REGRESSION WITH FIXED INTERCEPTS.** / Piegorsch, Walter W.

Research output: Contribution to journal › Article

*Technometrics*, vol. 28, no. 3, pp. 241-246.

}

TY - JOUR

T1 - CONFIDENCE BANDS FOR POLYNOMIAL REGRESSION WITH FIXED INTERCEPTS.

AU - Piegorsch, Walter W

PY - 1986/8

Y1 - 1986/8

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0022758746&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0022758746&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0022758746

VL - 28

SP - 241

EP - 246

JO - Technometrics

JF - Technometrics

SN - 0040-1706

IS - 3

ER -