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Technometrics Volume 43, 2001 - Issue 3
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Primary Article

A Simple General Method for Constructing Confidence Intervals for Functions of Variance Components

Andy K. L Chiang Department of Statistics and Applied Probability, National University of Singapore, Singapore
Pages 356-367 | Published online: 01 Jan 2012

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Jorge Quiroz & Richard Baumgartner. (2019) Interval Estimations for Variance Components: A Review and Implementations. Statistics in Biopharmaceutical Research 11:2, pages 162-174.
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Jan Hannig, Hari Iyer, Randy C. S. Lai & Thomas C. M. Lee. (2016) Generalized Fiducial Inference: A Review and New Results. Journal of the American Statistical Association 111:515, pages 1346-1361.
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Chien-Wei Wu, Chi-Wei Lin & James C. Chen. (2013) An improved approach for process performance evaluation with the consideration of process yield and quality loss. International Journal of Production Research 51:21, pages 6397-6409.
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Chien-Wei Wu, Mou-Yuan Liao & Tsung-Tse Yang. (2013) Efficient methods for comparing two process yields – strategies on supplier selection. International Journal of Production Research 51:5, pages 1587-1602.
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BrianP. Weaver, MichaelS. Hamada, StephenB. Vardeman & AlysonG. Wilson. (2012) A Bayesian Approach to the Analysis of Gauge R&R Data. Quality Engineering 24:4, pages 486-500.
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Chien-Wei Wu & Ming-Hung Shu. (2012) A novel approach for measuring the maximum process-loss information in multiple production line conditions. International Journal of Production Research 50:14, pages 3809-3820.
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Xinmin Li & Juan Wang. (2011) A Simple Method for Testing Variance Components in Unbalanced Nested Model. Communications in Statistics - Simulation and Computation 40:9, pages 1310-1323.
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Chien-Wei Wu. (2011) Using a novel approach to assess process performance in the presence of measurement errors. Journal of Statistical Computation and Simulation 81:3, pages 301-314.
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Mark A. Gamalo & Ram C. Tiwari. (2011) Testing Noninferiority Through Generalized p-values. Statistics in Biopharmaceutical Research 3:1, pages 87-96.
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MichielB. Nijhuis & EdwinR. Van den Heuvel. (2007) Closed-Form Confidence Intervals on Measures of Precision for An Interlaboratory Study. Journal of Biopharmaceutical Statistics 17:1, pages 123-142.
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Richard K. Burdick, You-Jin Park, Douglas C. Montgomery & Connie M. Borror. (2005) Confidence Intervals for Misclassification Rates in a Gauge R&R Study. Journal of Quality Technology 37:4, pages 294-303.
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Thomas Mathew & David W Webb. (2005) Generalized p Values and Confidence Intervals for Variance Components: Applications to Army Test and Evaluation. Technometrics 47:3, pages 312-322.
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Richard K. Burdick, Connie M. Borror & Douglas C. Montgomery. (2003) A Review of Methods for Measurement Systems Capability Analysis. Journal of Quality Technology 35:4, pages 342-354.
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Hari Iyer & Thomas Mathew. (2002) Comments on Chiang (2001). Technometrics 44:3, pages 284-285.
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Yi Han & Thomas C. M. Lee. (2022) Uncertainty Quantification for Sparse Estimation of Spectral Lines. IEEE Transactions on Signal Processing 70, pages 6243-6256.
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Fanbing Meng, Jun Yang & Shuo Huang. (2020) Hypothesis testing of process capability index Cpk from the perspective of generalized fiducial inference. Quality and Reliability Engineering International 37:4, pages 1578-1598.
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SeJoon Park & Chunghun Ha. (2020) Determination of optimal experimental design for ANOVA gauge R&R using stochastic programming. Measurement 156, pages 107612.
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Ryan Martin. (2019) False confidence, non-additive beliefs, and valid statistical inference. International Journal of Approximate Reasoning 113, pages 39-73.
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Johannes Forkman. (2017) Generalized Confidence Intervals for Intra- and Inter-subject Coefficients of Variation in Linear Mixed-effects Models. The International Journal of Biostatistics 13:2.
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William Q. Meeker, Gerald J. Hahn & Luis A. Escobar. 2017. Statistical Intervals. Statistical Intervals 563 578 .
Chunghun Ha, David S. Kim & SeJoon Park. (2017) Assessment of the Adequacy of Gauge Repeatability and Reproducibility Study Using a Monte Carlo Simulation. Mathematical Problems in Engineering 2017, pages 1-15.
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Chuanhai Liu & Ryan Martin. (2015) Frameworks for prior-free posterior probabilistic inference. Wiley Interdisciplinary Reviews: Computational Statistics 7:1, pages 77-85.
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Andy Kok Leong Chiang. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Connie M. Borror, Richard K. Burdick & Douglas C. Montgomery. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Qing Kang & Christopher I. Vahl. (2014) Statistical Analysis in the Safety Evaluation of Genetically-Modified Crops: Equivalence Tests. Crop Science 54:5, pages 2183-2200.
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Jan Hannig. (2014) Discussion of “On the Birnbaum Argument for the Strong Likelihood Principle”. Statistical Science 29:2.
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Ryan Martin & Chuanhai Liu. (2014) Discussion: Foundations of Statistical Inference, Revisited. Statistical Science 29:2.
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Todd Iverson. (2014) Generalized fiducial inference. WIREs Computational Statistics 6:2, pages 132-143.
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F.K. Wang, H.L. ChernT.C. Yu. (2012) A Gauge Study for Dynamic Light Scattering and Differential Mobility Analyzer Instruments. Journal of Testing and Evaluation 40:4, pages 104297.
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Fu-Kwun Wang & Tzu-Wei Chien. (2010) Process-oriented basis representation for a multivariate gauge study. Computers & Industrial Engineering 58:1, pages 143-150.
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Chien‐Wei Wu, Ming‐Hung Shu & Feng‐Tsung Cheng. (2008) Generalized confidence intervals for assessing process capability of multiple production lines. Quality and Reliability Engineering International 25:6, pages 701-716.
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Anindya Roy & Arup Bose. (2009) Coverage of generalized confidence intervals. Journal of Multivariate Analysis 100:7, pages 1384-1397.
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Andy Kok Leong Chiang. 2007. Encyclopedia of Statistics in Quality and Reliability. Encyclopedia of Statistics in Quality and Reliability.
Connie M. Borror, Richard K. Burdick & Douglas C. Montgomery. 2007. Encyclopedia of Statistics in Quality and Reliability. Encyclopedia of Statistics in Quality and Reliability.
Xin-min Li, Xing-zhong Xu & Guo-ying Li. (2007) A fiducial argument for generalized p-value. Science in China Series A: Mathematics 50:7, pages 957-966.
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Richard K. Burdick, Jorge Quiroz & Hariharan K. Iyer. (2006) The present status of confidence interval estimation for one-factor random models. Journal of Statistical Planning and Inference 136:12, pages 4307-4325.
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Ravindra Khattree. 2003. Statistics in Industry. Statistics in Industry 795 822 .

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