Research Article
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Genel tam faktöriyel deney tasarımlarda örneklem büyüklüğü ve güç tahmini

Year 2016, Volume 9, Issue 2, 79 - 86, 25.12.2016

Abstract

Bu çalışmanın amacı, farklı boyutlardaki çok sayıda genel tam faktöriyel tasarımlar için örneklem büyüklüğü ve güç hesaplamalarıni yaparak, deney tasarımını kurmadan önce gereğinden fazla veri toplamanın neden olduğu kaynak israfını önlemektir. Bu hesaplamaların faktörlerin düzey sayısı, analizde kullanılan modeldeki ana etkilerin ortalamaları ve standart sapma gibi birçok faktöre dayalı olduğu görülmüştür.

References

  • M.D. Lodico, D.T. Spaulding, K.H. Voegtle, 2010, Methods in Educational Research:From Theory to Practice, John Wiley&Sons. [2]
  • W.S. Browner, T.B. Newman, S.R. Cummings, S.B. Hulley, 2001, Estimating sample size and power: the nity-gritty. In: Hulley, S.B., Cummings, S.R., Browner, W.S., Grady, D. , Hearst, N., Newman, T.B. (editors). Designing clinical research: an epidemiologic approach. 2nd ed. Baltimore: Ed. Williams & Wilkins; 65-91.
  • P. Mathews, 2010, Sample Size Calculations: Practical Methods for Engineers and Scientists. Harbor, OH: Mathews Malnar and Bailey, Inc.
  • W. W. Daniel, C.L. Cross, 1999, Biostatistics: A foundation for analysis in the health sciences, 7th ed. New York, NY: Wiley.
  • G.E. Box, W.G. Hunter, J.S. Hunter, 2005, Statistics for Experimenters: Design, Innovation and Discovery, 2nd ed., Wiley.
  • D.C. Montgomery, 2013, Design and Analysis of Experiments. 8th ed. New York: John Wiley & Sons, Inc.
  • J. Cohen, 1988, Statistical Power Analysis for the Behavioral Sciences. 2nd ed. Mahwah NJ:Lawrence Erlbaum Associates.
  • A. Kirby, V. Gebski, A.C. Keech., 2002, Determining the sample size in a clinical trial. Med J Aust. 177 (5):256–7.
  • Minitab 17 Statistical Software, 2010, State College, PA: Minitab, Inc. (www.minitab.com).
  • D.R. Cox, 1958, Planning Experiments. New York: John Wiley & Sons, Inc.

Estimation of sample size and power for general full factorial designs

Year 2016, Volume 9, Issue 2, 79 - 86, 25.12.2016

Abstract

The aim of this study is to calculate sample size and power for several varieties of general full factorial designs, in order to help researchers to avoid the waste of resources by collecting surplus data before designing experiments. It was found out that the calculations were significantly affected by many factors in full factorial experimental designs, such as number of levels for each factor, number of replications, maximum difference between main effect means and standard deviation.

References

  • M.D. Lodico, D.T. Spaulding, K.H. Voegtle, 2010, Methods in Educational Research:From Theory to Practice, John Wiley&Sons. [2]
  • W.S. Browner, T.B. Newman, S.R. Cummings, S.B. Hulley, 2001, Estimating sample size and power: the nity-gritty. In: Hulley, S.B., Cummings, S.R., Browner, W.S., Grady, D. , Hearst, N., Newman, T.B. (editors). Designing clinical research: an epidemiologic approach. 2nd ed. Baltimore: Ed. Williams & Wilkins; 65-91.
  • P. Mathews, 2010, Sample Size Calculations: Practical Methods for Engineers and Scientists. Harbor, OH: Mathews Malnar and Bailey, Inc.
  • W. W. Daniel, C.L. Cross, 1999, Biostatistics: A foundation for analysis in the health sciences, 7th ed. New York, NY: Wiley.
  • G.E. Box, W.G. Hunter, J.S. Hunter, 2005, Statistics for Experimenters: Design, Innovation and Discovery, 2nd ed., Wiley.
  • D.C. Montgomery, 2013, Design and Analysis of Experiments. 8th ed. New York: John Wiley & Sons, Inc.
  • J. Cohen, 1988, Statistical Power Analysis for the Behavioral Sciences. 2nd ed. Mahwah NJ:Lawrence Erlbaum Associates.
  • A. Kirby, V. Gebski, A.C. Keech., 2002, Determining the sample size in a clinical trial. Med J Aust. 177 (5):256–7.
  • Minitab 17 Statistical Software, 2010, State College, PA: Minitab, Inc. (www.minitab.com).
  • D.R. Cox, 1958, Planning Experiments. New York: John Wiley & Sons, Inc.

Details

Primary Language English
Journal Section Articles
Authors

Melike Kaya BAHÇECİTAPAR> (Primary Author)
Hacettepe Üniversitei
Türkiye


Özge KARADAĞ>
HACETTEPE ÜNİVERSİTESİ
Türkiye


Serpil AKTAŞ>
Hacettepe Üniversitei
Türkiye

Publication Date December 25, 2016
Published in Issue Year 2016, Volume 9, Issue 2

Cite

Bibtex @research article { jssa418152, journal = {İstatistikçiler Dergisi:İstatistik ve Aktüerya}, issn = {1308-0539}, eissn = {1308-0539}, address = {}, publisher = {Aktüerya Derneği}, year = {2016}, volume = {9}, number = {2}, pages = {79 - 86}, title = {Estimation of sample size and power for general full factorial designs}, key = {cite}, author = {Bahçecitapar, Melike Kaya and Karadağ, Özge and Aktaş, Serpil} }
APA Bahçecitapar, M. K. , Karadağ, Ö. & Aktaş, S. (2016). Estimation of sample size and power for general full factorial designs . İstatistikçiler Dergisi:İstatistik ve Aktüerya , 9 (2) , 79-86 . Retrieved from https://dergipark.org.tr/en/pub/jssa/issue/36714/418152
MLA Bahçecitapar, M. K. , Karadağ, Ö. , Aktaş, S. "Estimation of sample size and power for general full factorial designs" . İstatistikçiler Dergisi:İstatistik ve Aktüerya 9 (2016 ): 79-86 <https://dergipark.org.tr/en/pub/jssa/issue/36714/418152>
Chicago Bahçecitapar, M. K. , Karadağ, Ö. , Aktaş, S. "Estimation of sample size and power for general full factorial designs". İstatistikçiler Dergisi:İstatistik ve Aktüerya 9 (2016 ): 79-86
RIS TY - JOUR T1 - Estimation of sample size and power for general full factorial designs AU - Melike KayaBahçecitapar, ÖzgeKaradağ, SerpilAktaş Y1 - 2016 PY - 2016 N1 - DO - T2 - İstatistikçiler Dergisi:İstatistik ve Aktüerya JF - Journal JO - JOR SP - 79 EP - 86 VL - 9 IS - 2 SN - 1308-0539-1308-0539 M3 - UR - Y2 - 2016 ER -
EndNote %0 Journal of Statisticians: Statistics and Actuarial Sciences Estimation of sample size and power for general full factorial designs %A Melike Kaya Bahçecitapar , Özge Karadağ , Serpil Aktaş %T Estimation of sample size and power for general full factorial designs %D 2016 %J İstatistikçiler Dergisi:İstatistik ve Aktüerya %P 1308-0539-1308-0539 %V 9 %N 2 %R %U
ISNAD Bahçecitapar, Melike Kaya , Karadağ, Özge , Aktaş, Serpil . "Estimation of sample size and power for general full factorial designs". İstatistikçiler Dergisi:İstatistik ve Aktüerya 9 / 2 (December 2016): 79-86 .
AMA Bahçecitapar M. K. , Karadağ Ö. , Aktaş S. Estimation of sample size and power for general full factorial designs. JSSA. 2016; 9(2): 79-86.
Vancouver Bahçecitapar M. K. , Karadağ Ö. , Aktaş S. Estimation of sample size and power for general full factorial designs. İstatistikçiler Dergisi:İstatistik ve Aktüerya. 2016; 9(2): 79-86.
IEEE M. K. Bahçecitapar , Ö. Karadağ and S. Aktaş , "Estimation of sample size and power for general full factorial designs", İstatistikçiler Dergisi:İstatistik ve Aktüerya, vol. 9, no. 2, pp. 79-86, Dec. 2016