Confidence Bands for Polynomial Regression With Fixed Intercepts
作者:
WalterW. Piegorsch,
期刊:
Technometrics
(Taylor Available online 1986)
卷期:
Volume 28,
issue 3
页码: 241-246
ISSN:0040-1706
年代: 1986
DOI:10.1080/00401706.1986.10488131
出版商: Taylor & Francis Group
关键词: Simultaneous inference;Regression through the origin;Quadratic regression;Weighted least squares
数据来源: Taylor
摘要:
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.
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