Simultaneous confidence bands for a percentile line in linear regression

DOI10.1016/j.csda.2014.07.009OpenAlexW1970008481WikidataQ57933595 ScholiaQ57933595MaRDI QIDQ1623716

Wei Liu, Fang Wan, Yang Han, Frank Bretz

Publication date: 23 November 2018

Published in: Computational Statistics and Data Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.csda.2014.07.009

zbMATH Keywords

linear regressionstatistical simulationconfidence levelsimultaneous confidence bandpercentile line

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Parametric tolerance and confidence regions (62F25) Linear regression; mixed models (62J05) Applications of statistics to biology and medical sciences; meta analysis (62P10)

Related Items (4)

Statistical calibration and exact one-sided simultaneous tolerance intervals for polynomial regression ⋮ Simultaneous confidence bands for a percentile hyper-plane with covariates constrained in a restricted range ⋮ An exact method for the multiple comparison of several polynomial regression models with applications in dose-response study ⋮ Construction of simultaneous confidence bands for a percentile hyper-plane with predictor variables constrained in an ellipsoidal region

Cites Work

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• Confidence Bands for Percentiles in the Linear Regression Model
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• Multiple Comparison Procedures for Pooling Batches in Stability Studies
• Simultaneous Confidence Bands for Percentile Lines in the General Linear Model
• Exact Confidence Bounds for All Contrasts of Three or More Regression Lines
• Simultaneous inference for several quantiles of a normal population with applications
• Minimum Area Confidence Set Optimality for Confidence Bands in Simple Linear Regression
• Multiple Comparison of Several Linear Regression Models
• Low Dose Risk Estimation via Simultaneous Statistical Inferences
• Assessing Nonsuperiority, Noninferiority, or Equivalence When Comparing Two Regression Models Over a Restricted Covariate Region

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