MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ 1 TEK FAKTÖR
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MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ 1 TEK FAKTÖR
MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ TEK FAKTÖR VARYANS ANALİZİ Kağıt dayanıklılığında kağıt yapılırken kullanılan kalasın yüzdesi etkili midir? 1 MİNİTAB KULLANIM KLAVUZU Analysis of Variance for strenth Source DF SS MS Hardwood 3 382,79 127,60 Error 20 130,17 6,51 Total 23 512,96 F 19,61 VARYANS ANALİZİ P 0,000 Tukey's pairwise comparisons Family error rate = 0,0500 Individual error rate = 0,0111 Critical value = 3,96 Intervals for (column level mean) - (row level mean) 5 10 10 -9,791 -1,542 15 -11,124 -2,876 -5,458 2,791 20 -15,291 -7,042 -9,624 -1,376 15 -8,291 -0,042 2 MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ İKİ FAKTÖR VARYANS ANALİZİ Bir ürüne yapılan bayoma işleminin kullanım ömrü üzerinde boya çeşiti ve kurutma zamanı etkili midir? 3 MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ Two-way ANOVA: strenth of paint versus paint; drying time Analysis of Variance for strenth Source DF SS MS paint 1 347 347 drying t 2 25 13 Interaction 2 1868 934 Error 12 2246 187 Total 17 4487 F 1,85 0,07 4,99 P 0,199 0,935 0,026 4 MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ 5 MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ 6 MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ ÇOK FAKTÖR VARYANS ANALİZİ Kağıt dayanıklılığı üzerinde kağıt hamuruna katılan kalasın yüzdesi, hamurun pişirilme süresi ve hamurun serbestlik derecesi etkili midir? 7 MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ 8 MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ Analysis of Variance for strenth of paper, using Adjusted SS for Tests Source hardwood concentration cooking time freeness hardwood concentration*cooking time hardwood concentration*freeness cooking time*freeness hardwood concentration*cooking time* freeness Error Total Source hardwood concentration cooking time freeness hardwood concentration*cooking time hardwood concentration*freeness cooking time*freeness hardwood concentration*cooking time* freeness Error Total DF 2 1 2 2 4 2 4 Seq SS 8,3750 17,3611 21,8517 3,2039 6,5133 1,0506 2,0844 Adj SS 8,3750 17,3611 21,8517 3,2039 6,5133 1,0506 2,0844 Adj MS 4,1875 17,3611 10,9258 1,6019 1,6283 0,5253 0,5211 18 35 9,9800 70,4200 9,9800 0,5544 F 7,55 31,31 19,71 2,89 2,94 0,95 0,94 P 0,004 0,000 0,000 0,082 0,050 0,406 0,463 9 MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ Main Effects Plot for strenth of paper Fitted Means hardwood concentration cooking time 99,0 98,5 98,0 Mean 97,5 10 15 freeness 20 350 500 650 1,5 2,0 99,0 98,5 98,0 97,5 Interaction Plot for strenth of paper Fitted Means 100,5 hardwood concentration 10 15 20 100,0 99,5 Mean 99,0 98,5 98,0 97,5 97,0 96,5 350 500 freeness 650 10 MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ Tukey 95,0% Simultaneous Confidence Intervals Response Variable strenth of paper All Pairwise Comparisons among Levels of hardwood concentration hardwood concentration = 10 subtracted from: hardwood concentration 15 20 Lower -1,651 -1,901 Center -0,875 -1,125 hardwood concentration = 15 hardwood concentration 20 Lower -1,026 Upper -0,0990 -0,3490 -------+---------+---------+--------(----------*-----------) (----------*----------) -------+---------+---------+---------1,40 -0,70 0,00 subtracted from: Center -0,2500 Upper 0,5260 -------+---------+---------+--------(----------*-----------) -------+---------+---------+---------1,40 -0,70 0,00 11 MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ 2k DENEY TASARIMI 12 MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ 13 MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ 14 MİNİTAB KULLANIM KLAVUZU VARYANS ANALİZİ Analysis of Variance for C8 (coded units) Source Main Effects 2-Way Interactions 3-Way Interactions Residual Error Pure Error Total DF 3 3 1 8 8 15 Seq SS 59,187 9,187 5,062 19,500 19,500 92,937 Adj SS 59,187 9,187 5,062 19,500 19,500 Adj MS 19,729 3,062 5,062 2,437 2,438 F 8,09 1,26 2,08 P 0,008 0,352 0,188 15