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Technometrics Volume 43, 2001 - Issue 4
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Primary Article

Testing Multiple Dispersion Effects in Unreplicated Fractional Factorial Designs

Richard N McGrath Department of Applied Statistics and Operations Research, Bowling Green State University, Bowling Green, OH 43403
&
Dennis K. J Lin Department of Management Science and Information Systems, The Pennsylvania State University, University Park, PA 16802
Pages 406-414 | Published online: 01 Jan 2012

Citations (31)

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Read on this site (17)

Shin-Fu Tsai. (2023) Analyzing dispersion effects from replicated order-of-addition experiments. Journal of Quality Technology 55:3, pages 271-288.
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Richard N. McGrath & Baffour Koduah. (2022) Powerful and robust dispersion contrasts for replicated orthogonal designs. Journal of Quality Technology 54:5, pages 573-588.
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Shin-Fu Tsai & Chen-Tuo Liao. (2020) Detection of location and dispersion effects from partially replicated two-level factorial designs. Journal of Quality Technology 52:3, pages 281-292.
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Thomas M. Loughin & Yan Zhang. (2020) A comparison of methods for identifying location effects in unreplicated fractional factorials in the presence of dispersion effects. Journal of Quality Technology 52:1, pages 54-66.
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Andrew J. Henrey & Thomas M. Loughin. (2017) Joint Identification of Location and Dispersion Effects in Unreplicated Two-Level Factorials. Technometrics 59:1, pages 23-35.
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I Tang Yu. (2016) A Bayesian approach to the identification of active location and dispersion factors. IIE Transactions 48:7, pages 629-637.
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Ya-Chun Hsiao, Chen-Tuo Liao & Li-Yu D. Liu. (2015) Minimum Aberration Regular Two-Level Designs in the Presence of Dispersion Factors. Communications in Statistics - Theory and Methods 44:13, pages 2764-2773.
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Shin-Fu Tsai, Chen-Tuo Liao & Feng-Shun Chai. (2015) Identification of Dispersion Effects from Partially Replicated Two-Level Factorial Designs. Journal of Quality Technology 47:1, pages 43-53.
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Cheryl Dingus, Bruce Ankenman, Angela Dean & Fangfang Sun. (2013) Identification of Dispersion Effects in Replicated Two-Level Fractional Factorial Experiments. Journal of Statistical Theory and Practice 7:4, pages 687-702.
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Thomas M. Loughin & Christopher J. Malone. (2013) An Adaptation of the Bergman–Hynén Test for Dispersion Effects in Unreplicated Two-Level Factorial Designs When the Location Model May Be Incorrect. Journal of Quality Technology 45:4, pages 350-359.
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Fu-Kai Chang & Chao-Ping Ting. (2011) Optimal Two-Level Fractional Factorial Designs for Location Main Effects with Dispersion Factors. Communications in Statistics - Theory and Methods 40:11, pages 2035-2043.
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Chao-Ping Ting. (2010) D-Optimal Two-Level Fractional Factorial Designs of Resolution III with Two Dispersion Factors. Communications in Statistics - Theory and Methods 39:14, pages 2515-2532.
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GeorgeJ. Besseris. (2009) Order Statistics for a Two-Level, Eight-Run Saturated-Unreplicated Fractional-Factorial Screening. Quality Engineering 21:4, pages 416-431.
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Martin Arvidsson, Ida Gremyr & Bo Bergman. (2006) Interpretation of dispersion effects in a robust design context. Journal of Applied Statistics 33:6, pages 623-627.
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Raymond H. Myers, Douglas C. Montgomery, G. Geoffrey Vining, Connie M. Borror & Scott M. Kowalski. (2004) Response Surface Methodology: A Retrospective and Literature Survey. Journal of Quality Technology 36:1, pages 53-77.
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Richard N. McGrath. (2003) Separating Location and Dispersion Effects in Unreplicated Fractional Factorial Designs. Journal of Quality Technology 35:3, pages 306-316.
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Richard McGrath & Dennis Lin. (2002) A nonparametric dispersion test for unreplicated two-level fractional factorial designs. Journal of Nonparametric Statistics 14:6, pages 699-714.
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Articles from other publishers (14)

Martin Arvidsson & Bo Bergman. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Thomas M. Loughin & Jorge E. Rodríguez. (2011) Computational issues with fitting joint location/dispersion models in unreplicated factorials. Computational Statistics & Data Analysis 55:1, pages 491-497.
Crossref
Seiichi Yasui, Yoshikazu Ojima & Tomomichi Suzuki. 2010. Frontiers in Statistical Quality Control 9. Frontiers in Statistical Quality Control 9 329 339 .
Martin Arvidsson, Ida Gremyr & Bo Bergman. 2009. Robust Design Methodology for Reliability. Robust Design Methodology for Reliability 145 149 .
P.M. van de Ven. (2008) On the equivalence of three estimators for dispersion effects in unreplicated two-level factorial designs. Journal of Statistical Planning and Inference 138:1, pages 18-29.
Crossref
Richard N. McGrath. 2007. Encyclopedia of Statistics in Quality and Reliability. Encyclopedia of Statistics in Quality and Reliability.
Martin Arvidsson & Bo Bergman. 2007. Encyclopedia of Statistics in Quality and Reliability. Encyclopedia of Statistics in Quality and Reliability.
Chen-Tuo Liao. (2006) Two-level factorial designs for searching dispersion factors and estimating location main effects. Journal of Statistical Planning and Inference 136:11, pages 4071-4087.
Crossref
Dizza Bursztyn & David M. Steinberg. 2006. Screening. Screening 21 47 .
E.D. Schoen. (2004) Dispersion-effects detection after screening for location effects in unreplicated two-level experiments. Journal of Statistical Planning and Inference 126:1, pages 289-304.
Crossref
Richard N McGrath & Dennis K.J Lin. (2003) Analyzing location and dispersion in unreplicated fractional factorials. Statistics & Probability Letters 65:4, pages 369-377.
Crossref
Bruce E. Ankenman & Angela M. Dean. 2003. Statistics in Industry. Statistics in Industry 263 317 .
Dennis K.J. Lin. 2003. Statistics in Industry. Statistics in Industry 33 73 .
Yuri Goegebeur, Peter Goos & Martina L. Vandebroek. (2007) A Hierarchical Bayesian Approach to Robust Parameter Design. SSRN Electronic Journal.
Crossref

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