Calibration and Simultaneous Tolerance Intervals for Regression

Mee, Robert W.; Eberhardt, Keith R.; Reeve, Charles P.

doi:10.1080/00401706.1991.10484808

Cited by 37 publications

(33 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In Mee, Eberhardt and Reeve(1991)can be usedto obtain conservativemultiple useconfidenceregions,and hence conservativemultiple usetests, for the two sided testing problem. The one-sidedsimultaneous toleranceintervals in Odeh and Mee (1990) can similarly be usedfor obtaining conservative multiple usetests for the one sided testing problemsin (1.5).…”

Section: Discussionmentioning

confidence: 99%

Multiple use one-sided hypotheses testing in univariate linear calibration

Krishnamoorthy¹,

Kulkarni²,

Mathew³

2001

Journal of Statistical Planning and Inference

View full text Add to dashboard Cite

show abstract

Section: Discussionmentioning

confidence: 99%

Multiple use one-sided hypotheses testing in univariate linear calibration

Krishnamoorthy¹,

Kulkarni²,

Mathew³

2001

Journal of Statistical Planning and Inference

View full text Add to dashboard Cite

show abstract

“…This form is taken from Odeh and Mee (1990) and similar to what is used in Scheffé (1973) and Mee et al (1991) for the case of two-sided STI's. It warrants further research to try other forms in the hope of finding smaller upper limits.…”

Section: Exact Sti'smentioning

confidence: 99%

Statistical calibration and exact one-sided simultaneous tolerance intervals for polynomial regression

Han

Liu

Bretz

et al. 2016

Journal of Statistical Planning and Inference

View full text Add to dashboard Cite

Please cite this article as: Han, Y., Liu, W., Bretz, F., Wan, F., Yang, P., Statistical calibration and exact one-sided simultaneous tolerance intervals for polynomial regression. J. Statist. Plann. Inference (2015), http://dx.doi.org/10.1016/j.jspi. 2015.07.005 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.

show abstract

“…The most common application for simultaneous tolerance intervals is the multiple-use calibration problem; see e.g. [7], [6], [1]. The tolerance intervals have been recognized and considered in various settings by many authors, see e.g.…”

Section: Introductionmentioning

confidence: 99%

“…The tolerance intervals have been recognized and considered in various settings by many authors, see e.g. [9], [8], [10], [3], [4], [5], [6], and [2]. These simultaneous tolerance intervals are constructed such that with given confidence level (1 − α) at least a specified proportion (1 − γ) of the population is contained in the tolerance interval for all possible values of the predictor variates.…”

Section: Introductionmentioning

confidence: 99%

Exact Likelihood Ratio Test for the Parameters of the Linear Regression Model with Normal Errors

Chvosteková¹,

Witkovský

2009

Measurement Science Review

View full text Add to dashboard Cite

In this paper we present an exact likelihood ratio test (LRT) for testing the simple null hypothesis on all parameters of the linear regression model with normally distributed errors. In particular, we consider the simultaneous test for the regression parameters, β, and the error standard deviation, σ. The critical values of the LRT are presented for small sample sizes and a small number of explanatory variables for usual significance levels, α = 0.1, 0.05, and 0.01. The test is directly applicable for construction of the (1 − α)-confidence region for the parameters (β, σ) and the simultaneous tolerance intervals for future observations in linear regression models. For comparison, the suggested method for construction of the tolerance factors of the symmetric (1 − γ)-content simultaneous (1 − α)-tolerance intervals is illustrated by a simple numerical example.

show abstract

Calibration and Simultaneous Tolerance Intervals for Regression

Cited by 37 publications

References 9 publications

Multiple use one-sided hypotheses testing in univariate linear calibration

Multiple use one-sided hypotheses testing in univariate linear calibration

Statistical calibration and exact one-sided simultaneous tolerance intervals for polynomial regression

Exact Likelihood Ratio Test for the Parameters of the Linear Regression Model with Normal Errors

Contact Info

Product

Resources

About