Öz
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.
Anahtar Kelimeler
tam faktöriyel tasarım istatistiksel güç örneklem büyüklüğü testin gücü
Kaynakça
- 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.
Öz
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.
Anahtar Kelimeler
full factorial design statistical power sample size power of test
Kaynakça
- 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.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 25 Aralık 2016 |
| Yayımlandığı Sayı | Yıl 2016 Cilt: 9 Sayı: 2 |