İSTATİSTİK II MINITAB

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Combinations A B C Surface Rougness () - - - 9 7 a

1 İSTATİSTİK II MINITAB 8.5. Veriler k DENEY TASARIMI Treatment Design Factor Combinations A B C Surface Rougness () a - - b ab - 5 c - - ac - bc - 8 abc 6 Veri Giriş Sayfasının Oluşturulması /

2 İSTATİSTİK II MINITAB 8.5. /

3 İSTATİSTİK II MINITAB 8.5. Verilerin Girilmesi Analiz /

4 İSTATİSTİK II MINITAB 8.5. Normal Plot of the Standardized Effects (response is C8, Alpha =,5) Percent A Effect Type Not Significant Significant F actor Name A A B B C C Standardized Effect 5 /

5 İSTATİSTİK II MINITAB 8.5. Plots for C8 99 Normal Probability Plot Versus Fits 9 Percent Fitted Value 6 Histogram Versus Order Frequency,8,6,, -, -,5 -, -,5,,5,, Observation Order Factorial Fit: C8 versus A; B; C Estimated Effects and Coefficients for C8 (coded units) Term Effect Coef SE Coef T P Constant,65,9 8,, A,75,6875,9,, B,65,85,9,8,7 C,875,75,9,,95 A*B,75,6875,9,76,6 A*C,5,65,9,6,877 B*C -,65 -,5,9 -,8,6 A*B*C,5,565,9,,88 S =,565 PRESS = 78 R-Sq = 79,% R-Sq(pred) = 6,7% R-Sq(adj) = 6,66% Analysis of Variance for C8 (coded units) Source DF Seq SS Adj SS Adj MS F P Main Effects 59,875 59,875 9,79 8,9,8 A 5,565 5,565 5,565 8,69, B,565,565,565,,7 C,65,65,65,6,95 -Way Interactions 9,875 9,875,65,6,5 A*B 7,565 7,565 7,565,,6 A*C,65,65,65,,877 B*C,565,565,565,6,6 -Way Interactions 5,65 5,65 5,65,8,88 A*B*C 5,65 5,65 5,65,8,88 Error 8 9,5 9,5,75 Pure Error 8 9,5 9,5,75 Total 5 9,975 5/

6 İSTATİSTİK II MINITAB 8.5. Adım Adım Etkin Olmayan Faktörlerin Çıkarılması. Normal Plot of the Standardized Effects (response is C8, Alpha =,5) Percent A Effect Type Not Significant Significant F actor Name A A B B C C Standardized Effect Plots for C8 99 Normal Probability Plot Versus Fits 9 Percent 5 - -, -,5,,5, - Fitted Value Histogram Versus Order Frequency - -, -,5 -, -,5,,5,, Observation Order 6/

7 İSTATİSTİK II MINITAB 8.5. Factorial Fit: C8 versus A; B; C Estimated Effects and Coefficients for C8 (coded units) Term Effect Coef SE Coef T P Constant,65, 6,79, A,75,6875,,9, B,65,85,,97,8 C,875,75,,6,7 A*B,75,6875,,66, A*C,5,65,,5,88 B*C -,65 -,5, -,76,69 S =,65 PRESS = 77,696 R-Sq = 7,57% R-Sq(pred) = 6,7% R-Sq(adj) = 55,95% Analysis of Variance for C8 (coded units) Source DF Seq SS Adj SS Adj MS F P Main Effects 59,875 59,875 9,79 7,,9 A 5,565 5,565 5,565 6,69, B,565,565,565,87,8 C,65,65,65,,7 -Way Interactions 9,875 9,875,65,,9 A*B 7,565 7,565 7,565,77, A*C,65,65,65,,88 B*C,565,565,565,57,69 Error 9,565,565,79 Lack of Fit 5,65 5,65 5,65,8,88 Pure Error 8 9,5 9,5,75 Total 5 9,975 7/

8 İSTATİSTİK II MINITAB Normal Plot of the Standardized Effects (response is C8, Alpha =,5) Effect Type Not Significant Significant Percent A Standardized Effect Plots for C8 99 Normal Probability Plot Versus Fits 9 Percent Fitted Value Histogram Versus Order Frequency Observation Order 8/

9 İSTATİSTİK II MINITAB 8.5. Factorial Fit: C8 versus A; B; C Estimated Effects and Coefficients for C8 (coded units) Term Effect Coef SE Coef T P Constant,65,9 6,9, A,75,6875,9,, B,65,85,9,9,77 C,875,75,9,,7 S =,6775 PRESS = 6 R-Sq = 6,69% R-Sq(pred) = 5,% R-Sq(adj) = 5,6% Analysis of Variance for C8 (coded units) Source DF Seq SS Adj SS Adj MS F P Main Effects 59,87 59,87 9,79 7,,6 A 5,56 5,56 5,56 6,, B,56,56,56,76,77 C,6,6,6,9,7 Error,75,75,8 Lack of Fit,5,5,56,6, Pure Error 8 9,5 9,5,8 Total 5 9,97 9/

10 İSTATİSTİK II MINITAB 8.5. Merkez Nokta (Central Point) Eğer verilere merkez noktalarda yapılan adet deney eklenirse; ( ve ) /

11 İSTATİSTİK II MINITAB 8.5. Factorial Fit: C8 versus A; B; C Estimated Effects and Coefficients for C8 (coded units) Term Effect Coef SE Coef T P Constant,65,77 9,68, A,75,6875,77,5, B,65,85,77,8,57 C,875,75,77,7,7 A*B,75,6875,77,8,98 A*C,5,65,77,7,87 B*C -,65 -,5,77 -,8, A*B*C,5,565,77,5,65 Ct Pt,75,8,9, S =,97 PRESS = 8,7 R-Sq = 79,% R-Sq(pred) =,5% R-Sq(adj) = 6,% Analysis of Variance for C8 (coded units) Source DF Seq SS Adj SS Adj MS F P Main Effects 59,875 59,875 9,79 8,88,5 A 5,565 5,565 5,565,5, B,565,565,565,75,57 C,65,65,65,8,7 -Way Interactions 9,875 9,875,65,8, A*B 7,565 7,565 7,565,,98 A*C,65,65,65,,87 B*C,565,565,565,7, -Way Interactions 5,65 5,65 5,65,8,65 A*B*C 5,65 5,65 5,65,8,65 Curvature,676,676,676,65, Error 9,,, Pure Error 9,,, Total 7 97, /

12 İSTATİSTİK II MINITAB 8.5. Blocking Eğer tekrar sayısı blocking olarak ele alınırsa; /

13 İSTATİSTİK II MINITAB 8.5. Factorial Fit: C8 versus Block; A; B; C Estimated Effects and Coefficients for C8 (coded units) Term Effect Coef SE Coef T P Constant,65, 6,9, Block -,875, -,6,66 A,75,6875,,,5 B,65,85,,98,89 C,875,75,,6, A*B,75,6875,,67,8 A*C,5,65,,5,88 B*C -,65 -,5, -,76,7 A*B*C,5,565,,7, S =,68 PRESS = 98,988 R-Sq = 79,6% R-Sq(pred) =,% R-Sq(adj) = 56,% Analysis of Variance for C8 (coded units) Source DF Seq SS Adj SS Adj MS F P Blocks,565,565,565,,66 Main Effects 59,875 59,875 9,79 7,9,5 A 5,565 5,565 5,565 6,8,5 B,565,565,565,9,89 C,65,65,65,, -Way Interactions 9,875 9,875,65,, A*B 7,565 7,565 7,565,8,8 A*C,65,65,65,,88 B*C,565,565,565,58,7 -Way Interactions 5,65 5,65 5,65,87, A*B*C 5,65 5,65 5,65,87, Error 7 8,975 8,975,75 Total 5 9,975 /

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