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Fractional Factor Designs and Their Applications in Experimental Design

Year 2002, Volume: 1 Issue: 1, 11 - 22, 15.04.2002

Abstract

ABSTRACT
In this study, fractional factor designs which have been widely used for last years, are presented by explaining the fundamental concepts on the subject, and these designs are clarified by giving various examples, besides an application is made for 3k factorial designs.

References

  • CESTARI A.R., BRUNS R. E. and AIROLDI, C. (1996), A Fractional Factorial Design Applied To Organafunctionalized Silicas for Adsorption Optimization, Colloids and Surfaces A: Physicochemical and Engineering Aspects, 117, 7-13.
  • CHEN, J. (1992), Some Results on 2n-k Fractional Factorial Designs and Search for Minimum Aberration Designs, The Annals of Statistics, 20, 4 2124-2141.
  • CHENG, C. S. and LI C. C. (1993), Constructing Orthogonal Franctional Factorial Desings When Some Factor Level Combinations are Debarred, Technometrics, 35, 3, 277-283.
  • CRUZ, P. M., CHRISTEN P. and FARRES A. (1993), Medium Optimization by a Fractional Factorial Design for Lipase Production by Rhizopus Delemar, Journal of Fermentation and Bioengineering, 76, 2, 94-97.
  • HEDAYAT, A. S., K. PU and STUFKEN J. (1992), On The Construction of Asymmetrical Orthogonal Arrays, The Annals of Statistics, 20, 4, 2142-2152.
  • JOHN, P. W., (1971) Statistical Design and Analysis of Experiments, The Macmillan Company, New York.
  • MARTINS, J. A., SENA. M. M., POPPI, R. J. and PESSINE, F. B. T. (1999). Fluorescence Piroxicam Study in the Presence Of Cyclodextrins by Using The PARAFAC Method, Applied Spectroscopy, 53,5, 510-522.
  • MEAD, R., (1988), The Design of Experiments, University Press, Cambridge.
  • MOHD, A. A., DEAN, J. R. and TOMLINSON, W. R. (1992), Factorial Design Approach to Microwave Dissolution, Analyst, 117, 1743-1748.
  • MULUK, Z., TOKTAMIŞ, Ö., KURT, S. and KARAAĞAOĞLU, E. (1985), Deney Düzenlemede İstatistiksel Yöntemler, Akademi Matbaası (Hicks, C. R. yazarlı kitabın çevirisi).
  • ROBINSON, G. K. (1993), Improving Taguchi’s Packaging of Fractional Factorial Designs, Journal Of Quality Technology, 25, 1, 1-11.
  • SCHNEIDER, H. and KASPERSKI, J. (1993), Finding Significant Effects For Unreplicated Fractional Factorials Using The n Smallest Contrasts, Journal of Quality Technology, 25, 1, 18-27.
  • SHIRAKURA, T. (1993), Fractional Factorial Designs of Two and Three Levels, Discrete Mathematics, 116, 99-135.
  • TERNES, R. L., BETHEL, S. Z. and JANKY, D. G. (1992), A Statistically Designed Experiment for Assessing Cesium Potassium Antimonide Photocathode Fabrication Parameters, Nuclear Instruments and Methods in Physics Research, A318, 401-409.
  • TOMAN, B. (1994) Bayes Optimal Designs for Two Level and Three Level Factorial Experiments, Journal of the American Statistical Association, Theory and Methods, 89, 427, 937-946.
  • WERY, M., CATONNE, J. C., LIGIER, V. and PAGETTI, J. (1999), Zinc Barrel Electroplating Using Low Cyanide Electrolytes, Journal of Applied Electrochemistry, 29, 6, 729-739.

Deney Tasarımında Kesirli Çoketkenli Tasarımlar ve Uygulamaları

Year 2002, Volume: 1 Issue: 1, 11 - 22, 15.04.2002

Abstract

Bu çalışmada son yıllarda kullanımı oldukça yaygınlaşan kesirli çoketkenli tasarımlar hakkında temel bilgiler sunulmuş, çeşitli örnekler verilerek konuya açıklık kazandırılmış, ayrıca 3k çoketkenli deney tasarımları için bir uygulama yapılmıştır.

References

  • CESTARI A.R., BRUNS R. E. and AIROLDI, C. (1996), A Fractional Factorial Design Applied To Organafunctionalized Silicas for Adsorption Optimization, Colloids and Surfaces A: Physicochemical and Engineering Aspects, 117, 7-13.
  • CHEN, J. (1992), Some Results on 2n-k Fractional Factorial Designs and Search for Minimum Aberration Designs, The Annals of Statistics, 20, 4 2124-2141.
  • CHENG, C. S. and LI C. C. (1993), Constructing Orthogonal Franctional Factorial Desings When Some Factor Level Combinations are Debarred, Technometrics, 35, 3, 277-283.
  • CRUZ, P. M., CHRISTEN P. and FARRES A. (1993), Medium Optimization by a Fractional Factorial Design for Lipase Production by Rhizopus Delemar, Journal of Fermentation and Bioengineering, 76, 2, 94-97.
  • HEDAYAT, A. S., K. PU and STUFKEN J. (1992), On The Construction of Asymmetrical Orthogonal Arrays, The Annals of Statistics, 20, 4, 2142-2152.
  • JOHN, P. W., (1971) Statistical Design and Analysis of Experiments, The Macmillan Company, New York.
  • MARTINS, J. A., SENA. M. M., POPPI, R. J. and PESSINE, F. B. T. (1999). Fluorescence Piroxicam Study in the Presence Of Cyclodextrins by Using The PARAFAC Method, Applied Spectroscopy, 53,5, 510-522.
  • MEAD, R., (1988), The Design of Experiments, University Press, Cambridge.
  • MOHD, A. A., DEAN, J. R. and TOMLINSON, W. R. (1992), Factorial Design Approach to Microwave Dissolution, Analyst, 117, 1743-1748.
  • MULUK, Z., TOKTAMIŞ, Ö., KURT, S. and KARAAĞAOĞLU, E. (1985), Deney Düzenlemede İstatistiksel Yöntemler, Akademi Matbaası (Hicks, C. R. yazarlı kitabın çevirisi).
  • ROBINSON, G. K. (1993), Improving Taguchi’s Packaging of Fractional Factorial Designs, Journal Of Quality Technology, 25, 1, 1-11.
  • SCHNEIDER, H. and KASPERSKI, J. (1993), Finding Significant Effects For Unreplicated Fractional Factorials Using The n Smallest Contrasts, Journal of Quality Technology, 25, 1, 18-27.
  • SHIRAKURA, T. (1993), Fractional Factorial Designs of Two and Three Levels, Discrete Mathematics, 116, 99-135.
  • TERNES, R. L., BETHEL, S. Z. and JANKY, D. G. (1992), A Statistically Designed Experiment for Assessing Cesium Potassium Antimonide Photocathode Fabrication Parameters, Nuclear Instruments and Methods in Physics Research, A318, 401-409.
  • TOMAN, B. (1994) Bayes Optimal Designs for Two Level and Three Level Factorial Experiments, Journal of the American Statistical Association, Theory and Methods, 89, 427, 937-946.
  • WERY, M., CATONNE, J. C., LIGIER, V. and PAGETTI, J. (1999), Zinc Barrel Electroplating Using Low Cyanide Electrolytes, Journal of Applied Electrochemistry, 29, 6, 729-739.
There are 16 citations in total.

Details

Primary Language Turkish
Subjects Statistical Experiment Design, Statistical Theory
Journal Section Research Articles
Authors

Cem Kadılar

Zehra Muluk

Publication Date April 15, 2002
Published in Issue Year 2002 Volume: 1 Issue: 1

Cite

APA Kadılar, C., & Muluk, Z. (2002). Deney Tasarımında Kesirli Çoketkenli Tasarımlar ve Uygulamaları. İstatistik Araştırma Dergisi, 1(1), 11-22.