Simultaneous Confidence Bands for Percentile Lines in the General Linear Model

This article is a generalization of the procedures developed by Steinhorst and Bowden (1971) for constructing confidence bands for the 100βth percentiles in the general linear model. Since the original procedure built these bands about a biased estimator of the 100βth precentile line, some other est...

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Bibliographic Details
Published in:Journal of the American Statistical Association 1977-12, Vol.72 (360), p.886-889
Main Authors: Turner, David L., Bowden, David C.
Format: Article
Language:English
Subjects:
Confidence bands
Confidence interval
Degrees of freedom
Estimation bias
Estimators
General linear model
Mathematical constants
Percentiles
Random variables
Regression
Simultaneous inference
Statistical variance
T distribution
Theory and Methods
Unbiased estimators
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Summary:This article is a generalization of the procedures developed by Steinhorst and Bowden (1971) for constructing confidence bands for the 100βth percentiles in the general linear model. Since the original procedure built these bands about a biased estimator of the 100βth precentile line, some other estimators were tried. While some improvement was noted, the results are not conclusive, suggesting that the best procedure has not been found yet.
ISSN:0162-1459
1537-274X
DOI:10.1080/01621459.1977.10479977