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Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 32, 2000 - Issue 1
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Articles

Critical Values of the Lenth Method for Unreplicated Factorial Designs

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Pages 57-66 | Published online: 20 Feb 2018

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Richard N. McGrath, Yuhang Xu & Anna Taylor. (2023) Screening main and interaction effects in a Plackett-Burman design. Communications in Statistics - Simulation and Computation 0:0, pages 1-21.
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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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Pere Grima, Lourdes Rodero & Xavier Tort-Martorell. (2021) Considering the risk of ignoring active factors in industrial experiments. Quality Engineering 33:3, pages 552-557.
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Soheil Sadeghi, Peter Chien & Neeraj Arora. (2020) Sliced Designs for Multi-Platform Online Experiments. Technometrics 62:3, pages 387-402.
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Pere Grima, Lourdes Rodero & Xavier Tort-Martorell. (2019) Saving runs in fractional factorial designs. Quality Engineering 31:3, pages 375-385.
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Rafel Xampeny, Pere Grima & Xavier Tort-Martorell. (2019) Selecting significant effects in factorial designs: Lenth’s method versus the Box-Meyer approach. Journal of Applied Statistics 46:8, pages 1404-1416.
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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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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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Sara Fontdecaba, Pere Grima & Xavier Tort-Martorell. (2014) Analyzing DOE With Statistical Software Packages: Controversies and Proposals. The American Statistician 68:3, pages 205-211.
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Ying Chen. (2013) A powerful test method for analyzing unreplicated factorials. Journal of Applied Statistics 40:7, pages 1387-1401.
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Chen-Tuo Liao & Feng-Shun Chai. (2009) Design and Analysis of Two-Level Factorial Experiments With Partial Replication. Technometrics 51:1, pages 66-74.
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Robert W. Mee & Jihua (Regina) Xiao. (2008) Optimal Foldovers and Semifolding for Minimum Aberration Even Fractional Factorial Designs. Journal of Quality Technology 40:4, pages 448-460.
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David J. Edwards & Robert W. Mee. (2008) Empirically Determined p-Values for Lenth t-Statistics. Journal of Quality Technology 40:4, pages 368-380.
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Maria Tripolski Kimel, Yoav Benjamini & David M Steinberg. (2008) The False Discovery Rate for Multiple Testing in Factorial Experiments. Technometrics 50:1, pages 32-39.
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GeorgeJ. Besseris. (2007) Analysis of an Unreplicated Fractional-Factorial Design Using Nonparametric Tests. Quality Engineering 20:1, pages 96-112.
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Nuno Costa & Zulema Lopes Pereira. (2007) Decision-Making in the Analysis of Unreplicated Factorial Designs. Quality Engineering 19:3, pages 215-225.
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Asokan Mulayath Variyath, Bovas Abraham & Jiahua Chen. (2005) Analysis of Performance Measures in Experimental Designs Using Jackknife. Journal of Quality Technology 37:2, pages 91-100.
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J. L. Loeppky & R. R. Sitter. (2002) Analyzing Unreplicated Blocked or Split-Plot Fractional Factorial Designs. Journal of Quality Technology 34:3, pages 229-243.
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Kenny Q. Ye, Michael Hamada & C. F. J. Wu. (2001) A Step-Down Lenth Method for Analyzing Unreplicated Factorial Designs. Journal of Quality Technology 33:2, pages 140-152.
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Roberta Anastacia Palermo Fernandes, Pedro Henrique Poubel Mendonça da Silveira, Beatriz Cruz Bastos, Patricia Soares da Costa Pereira, Valdir Agustinho de Melo, Sergio Neves Monteiro, Neyda de La Caridad Om Tapanes & Daniele Cruz Bastos. (2022) Bio-Based Composites for Light Automotive Parts: Statistical Analysis of Mechanical Properties; Effect of Matrix and Alkali Treatment in Sisal Fibers. Polymers 14:17, pages 3566.
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C. F. Jeff Wu & Michael Hamada. 2021. Experiments. Experiments 154 204 .
Pere Grima, Lourdes Rodero & Xavier Tort‐Martorell. (2020) Selecting relevant effects in factorial designs. Quality and Reliability Engineering International 36:7, pages 2370-2378.
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Markus Kreutz, Abderrahim Ait Alla, Kamaloddin Varasteh, Michael Lütjen, Michael Freitag & Klaus-Dieter Thoben. (2020) Investigation of icing causes on wind turbine rotor blades using machine learning models, minimalistic input data and a full-factorial design. Procedia Manufacturing 52, pages 168-173.
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Jong Hee Chung & Yong Bin Lim. (2019) A modified LGB method for detecting significant effects based on a half-normal probability plot. Journal of the Korean Statistical Society 48:4, pages 568-577.
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A. Celani, S. Blackburn, M.J.H. Simmons & E.H. Stitt. (2018) Effect of mixing conditions on the wet preparation of ceramic foams. Chemical Engineering Research and Design 134, pages 1-14.
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Ilonka Bokor, Sandra Sdraulig & Masoumeh Sanagou. (2017) Robustness testing of an in-situ caesium extraction unit. Journal of Environmental Radioactivity 178-179, pages 426-429.
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George J. Besseris. (2017) Screening dense and noisy DOX-datasets with NN-blending and “dizzy” swarm intelligence: Profiling a water quality process. Swarm and Evolutionary Computation 32, pages 219-233.
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Ulrike Grömping. (2015) Augmented Half Normal Effects Plots in the Presence of a Few Error Degrees of Freedom. Quality and Reliability Engineering International 31:7, pages 1185-1196.
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George J. Besseris. (2014) A Fast-and-Robust Profiler for Improving Polymerase Chain Reaction Diagnostics. PLoS ONE 9:9, pages e108973.
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Russell V. Lenth. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
David J. Edwards, Maria L. Weese & Gregory A. Palmer. (2014) Comparing methods for design follow-up: revisiting a metal-cutting case study. Applied Stochastic Models in Business and Industry 30:4, pages 464-478.
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Marinus F.W. te Pas, Leo Kruijt, Mariusz Pierzchala, Ronald E. Crump, Sjef Boeren, Els Keuning, Rita Hoving-Bolink, Maria Hortós, Marina Gispert, Jacint Arnau, Alejandro Diestre & Herman A. Mulder. (2013) Identification of proteomic biomarkers in M. Longissimus dorsi as potential predictors of pork quality. Meat Science 95:3, pages 679-687.
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George J. Besseris. (2013) A Distribution-Free Multi-Factorial Profiler for Harvesting Information from High-Density Screenings. PLoS ONE 8:8, pages e73275.
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Víctor Aguirre‐Torres & Román de la Vara. (2012) A robust analysis of unreplicated factorials. Applied Stochastic Models in Business and Industry 28:3, pages 194-205.
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Larry J. HopperJr.Jr. & Courtney Schumacher. (2012) Modeled and Observed Variations in Storm Divergence and Stratiform Rain Production in Southeastern Texas. Journal of the Atmospheric Sciences 69:4, pages 1159-1181.
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Yen-Sheng Chen, Shih-Yuan Chen & Hsueh-Jyh Li. (2011) A Novel Dual-Antenna Structure for UHF RFID Tags. IEEE Transactions on Antennas and Propagation 59:11, pages 3950-3960.
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Thomas P. Ryan. 2011. Statistical Methods for Quality Improvement. Statistical Methods for Quality Improvement 435 511 .
Hongquan Xu & Robert W. Mee. (2010) Minimum aberration blocking schemes for 128-run designs. Journal of Statistical Planning and Inference 140:11, pages 3213-3229.
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George J. Besseris. (2010) Non‐linear nonparametric quality screening in low sampling testing. International Journal of Quality & Reliability Management 27:8, pages 893-915.
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Eileen Bjorkman & Frank Gray. (2008) Methods for Distributed Testing in Joint Environments: Results from INTEGRAL FIRE 2007. Methods for Distributed Testing in Joint Environments: Results from INTEGRAL FIRE 2007.
Russell V. Lenth. 2007. Encyclopedia of Statistics in Quality and Reliability. Encyclopedia of Statistics in Quality and Reliability.
Robin T. Peterson. (2016) An Exploratory Study of Listening Practice Relative to Memory Testing and Lecture in Business Administration Courses. Business Communication Quarterly 70:3, pages 285-300.
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Daniel T. Voss & Weizhen Wang. 2006. Screening. Screening 268 286 .
Dan Houston, Susan Ferreira & Douglas C. Montgomery. (2005) Using Unreplicated 2k−p Designs for Characterizing Moderately Dimensioned Deterministic Computer Models. Quality and Reliability Engineering International 21:8, pages 809-824.
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