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# 12. rancangan penelitian : contoh pola faktorial

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rancangan penelitian : contoh pola faktorial

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### 12. rancangan penelitian : contoh pola faktorial

1. 1. Contoh Faktorial Faktor C : Dosis vitamin C 0 ; 200 dan 400 µgram Faktor L : Lama Penyimpanan 0 ; 60 dan 120 menit Blok : Periode Penyadapan 1 ; 2 dan 3 ( interval 2 hari)
2. 2. Tabel 1. C x L x Blok       Perla- B l o k Total Rataa n kuan 1 2 3 Perlk Perlk c0 l0 70.00 75.00 70.00 215.00 71.67 c0 l1 65.00 60.00 60.00 185.00 61.67 c0 l2 65.00 70.00 65.00 200.00 66.67 c1 l0 70.00 70.00 85.00 225.00 75.00 c1 l1 70.00 75.00 75.00 220.00 73.33 c1 l2 80.00 85.00 90.00 255.00 85.00 c2 l0 65.00 70.00 70.00 205.00 68.33 c2 l1 75.00 95.00 90.00 260.00 86.67 c2 l2 85.00 90.00 95.00 270.00 90.00 Total 645.00 690.00 700.00 2035.0 0
3. 3. Tabel 2. C x L x Blok [ Transf. Arc. Sin √(%) ]   Perla- B l o k Total Rataan kuan 1 2 3 Perlk Perlk c0 l0 56.79 60.00 56.79 173.58 57.86 c0 l1 53.73 50.77 50.77 155.27 51.76 c0 l2 53.73 56.79 53.73 164.25 54.75 c1 l0 56.79 56.79 67.21 180.79 60.26 c1 l1 56.79 60.00 60.00 176.79 58.93 c1 l2 63.43 67.21 71.57 202.21 67.40 c2 l0 53.73 56.79 56.79 167.31 55.77 c2 l1 60.00 77.08 71.57 208.64 69.55 c2 l2 67.21 71.57 77.08 215.86 71.95 Total 522.20 556.99 565.50 1644.69
4. 4. Tabel 3. C x L           c 0 c 1 c 2 Total L Rataan L l 0 173.5 8 180.79 167.31 521.68 57.96 l 1 155.2 7 176.79 208.64 540.70 60.08 l 2 164.2 5 202.21 215.86 582.32 64.70 Total C 493.0 9 559.79 591.81 1644.6 9 Rataan C 54.79 62.20 65.76
5. 5. Perhitungan Jumlah Kuadrat 1. F. K = 1644.692 /(3x3x3) = 100185.8 2. JK Tot = 56.79 2 +…..+ 77.08 2 – FK = = 101726 – 100185.8 = 1540.19 3. JK Blok = (522.022 2 +…..+ 565.498 2 )/9 – FK = = 100302.7 – 100185.8 = 116.9371
6. 6. 4. JK Perlk = ( 173.578 2 +…..+ 215.858 2 )/3 – FK = = 101387.5 – 101185.8 = 1201.725 5. JK C = ( 493.091 2 +…..+ 591.809 2 )/3 – FK = = 100749.5 – 100185.8 = 563.6868 6. JK L = (521.677 2 +…..+ 582.318 2 )/3 – FK = = 100399.6 - 100185.8 = 213.7516
7. 7. Tabel 4. Anava           Sumbe r Jumlah Deraja t Kuadra t F F tabel Variasi Kuadrat Bebas Tengah hitun g 0.05 0.01 Blok 116.937 2 58.469 4.223 3.63 6.23 Perlk 1201.72 5 8 150.21 6 10.84 9 2.59 3.89 C 563.687 2 281.84 3 20.35 6 3.63 6.23 L 213.752 2 106.87 6 7.719 3.63 6.23 C x L 424.287 4 106.07 2 7.661 3.01 4.77 Galat 221.527 16 13.845 σ = 3.72 1   1540.19 6.10
8. 8. »»» Memecah JK C           Perlakua n c 0 c 1 c 2 Σ Ci.Ti r. Σ Ci2 J K Total Perl 493.0 9 559.79 591.8 1 (a) (b) (a2 /b) Linier -1 0 1 98.718 0 3x3x2 541.402 6 Kuadrat er 1 -2 1 34.689 3 3x3x6 22.2841 6 Total         JK C = 563.686 8
9. 9. »»» Memecah JK L           Perlakua n l 0 l 1 l 2 Σ Ci.Ti r. Σ Ci2 J K Total Perl 521.6 8 540.7 0 582.3 2 (a) (b) (a2 /b) Linier -1 0 1 60.6409 4 3x3x2 204.295 8 Kuadrate r 1 -2 1 22.5967 5 3x3x6 9.45579 9 Total         JK L = 213.751 6
10. 10. »»» Memecah JK C x L         Perl L o c 0 c 1 c 2 Σ Ci.Ti r. Σ Ci2 J K Total Perl 173.58 180.79 167.31 (a) (b) (a2 /b) Linier -1 0 1 -6.2712 3 x 2 6.55465 5 Kuadrate r 1 -2 1 -20.6982 3 x 6 23.8008 7 Total           30.3555 2 Perl L 1 c 0 c 1 c 2 Σ Ci.Ti r. ΣCi2 J K Total Perl 155.27 176.79 208.64 (a) (b) (a2 /b) Linier -1 0 1 53.3783 2 3 x 2 474.874 2 Kuadrate r 1 -2 1 10.3316 7 3 x 6 5.93018 6 Total           480.804 4 Perl L 2 c 0 c 1 c 2 Σ Ci.Ti rΣ Ci2 J K Total Perl 164.25 202.21 215.86 (a) (b) (a2 /b)
11. 11. Tabel 5. Anava           Sumber Jumlah Derajat Kuadra t F F tabel Variasi Kuadrat Bebas Tengah hitung 0.05 0.01 Blok 116.937 2 58.469 4.223 3.630 6.230 Perlakua n 1201.72 5 8 150.21 6 10.849 2.59 3.89 C 563.687 2 281.84 3 20.356 3.63 6.23 Lin 541.403 1 541.40 3 39.103 4.49 8.53 Kdr 22.284 1 22.284 1.609 4.49 8.53 L 213.752 2 106.87 6 7.719 3.63 6.23 Lin 204.296 1 204.29 6 14.755 4.49 8.53 Kdr 9.456 1 9.456 0.683 4.49 8.53 C x L 424.287 4 106.07 2 7.661 3.01 4.77
12. 12.  Lanjutan             Sumber Jumlah Deraja t Kuadra t F F tabel Variasi Kuadrat Bebas Tengah hitung 0.05 0.01 Pd L 0 C Lin 6.555 1 6.555 0.473 4.49 8.53 C Kdr 23.801 1 23.801 1.719 4.49 8.53 Pd L 1 C Lin 474.874 1 474.87 4 34.298 4.49 8.53 C Kdr 5.930 1 5.930 0.428 4.49 8.53 Pd L 2 C Lin 443.947 1 443.94 7 32.064 4.49 8.53 C
13. 13. »»» Uji Beda Nyata Jujur ««« BNJ 0.05= 3.6490 x 1.2403 = 4.5259 BNJ 0.01= 4.7860 x 1.2403 = 5.9362 »»» Untuk C     Perlakua n c 0 c 1 c 2 Rataan 54.7878 62.1994 65.7565 c 2 10.9687 3.5572 - c 1 7.4115 - c 0 -
14. 14. »»» Untuk L     Perlakuan l 0 l 1 l 2 Rataan 57.9641 60.0777 64.7020 l 2 6.7379 4.6243 - l 1 2.1136 - l 0 -
15. 15. »»» Untuk C x L BNJ 0.05= 5.031 0 x 2.1483 = 10.808 1 BNJ 0.01= 6.222 0 x 2.1483 = 13.366 7             Perlakua n c0 l0 c0 l1 c0 l2 c1 l0 c1 l1 Rataan 57.85 9 51.755 54.749 60.264 58.930 c2 l2 14.09 3 20.197 17.204 11.689 13.023 c2 l1 11.68 9 17.793 14.799 9.284 10.618 c2 l0 2.090 4.014 1.020 4.495 3.161 c1 l2 9.545 15.649 12.656 7.141 8.475 c1 l1 1.070 7.174 4.181 1.334 -
16. 16. Perlakua n c1 l2 c2 l0 c2 l1 c2 l2 Rataan 67.405 55.769 69.548 71.953 c2 l2 4.548 16.184 2.405 - c2 l1 2.144 13.779 - c2 l0 11.636 - c1 l2 - c1 l1 c1 l0 c0 l2 c0 l1 c0 l0
17. 17. Kurva Respon C x L 20 30 40 50 60 70 80 0 200 400 Dosis Vit C ( µg) Motilitas L 0 L 1 L 2
18. 18. Kurva Respon C x L 20 30 40 50 60 70 80 0 60 120 Lama Penyimpanan (menit) Motilitas C 0 C 1 C 2
19. 19. Data X : Dosis Vitamin C ( Lama Penyimpanan 60 menit ) Y : Motilitas Tabel 1. Data X dan Y No X Y X2 Y2 XY 1 0 53.73 0 2886.784 0.000 2 0 50.77 0 2577.439 0.000 3 0 50.77 0 2577.439 0.000 4 200 56.79 40000 3225.001 11357.81 8 5 200 60.00 40000 3600.000 12000.00 0 6 200 60.00 40000 3600.000 12000.00 0 7 400 60.00 160000 3600.000 24000.00 0 8 400 77.08 160000 5941.177 30831.61 3 9 400 71.57 160000 5121.557 28626.02 0
20. 20. »»» REGRESI LINIER ««« N = 9 Σ Y = 540.6989 Σ x2 = 240000 Σ X = 1800 Σ Y2 = 33129.396 Σ y2 = 645.469 3 Σ X2 = 600000 Y bar = 60.078 Σ xy = 10675.6 6 X bar = 200 Σ XY = 118815.45
21. 21. b = Σxy / Σx2 = 0.04448 2 a = Y bar - b ( X bar ) = 51.18127 2 Y = 51.18127 2 + 0.044481 9 X Koefisien Determinasi ( r 2 ) = 73.57038 1 Persen Koefisien Korelasi ( r ) = 0.857731 8
22. 22. Regresi pada L1 50 54 58 62 66 70 0 200 400 Dosis Vitamin C (µg) Motilitas Linier
23. 23. Data X : Dosis Vitamin C ( Lama Penyimpanan 120 menit ) Y : Motilitas Tabel 1. Data X dan Y    No X Y X2 Y2 XY 1 0 53.73 0 2886.784 0.000 2 0 56.79 0 3225.001 0.000 3 0 53.73 0 2886.784 0.000 4 200 63.43 40000 4023.993 12686.99 0 5 200 67.21 40000 4517.655 13442.70 0 6 200 71.57 40000 5121.557 14313.01 0 7 400 67.21 160000 4517.655 26885.40 1 8 400 71.57 160000 5121.557 28626.02 0 9 400 77.08 160000 5941.177 30831.61 3
24. 24. »»» REGRESI LINIER ««« N = 9 Σ Y = 582.31778 Σ x2 = 240000 Σ X = 1800 Σ Y2 = 38242.162 Σ y2 = 565.050 9 Σ X2 = 600000 Y bar = 64.702 Σ xy = 10322.1 8 X bar = 200 Σ XY = 126785.73 5
25. 25. b = Σxy / Σx2 = 0.043009 1 a = Y bar - b ( X bar ) = 56.1001 6 Y = 56.1001 6 + 0.04300 9 X Koefisien Determinasi ( r 2 ) = 78.5676 8 Persen Koefisien Korelasi ( r ) = 0.88638 4
26. 26. Regresi pada L2 50 55 60 65 70 75 0 200 400 Dosis Vitamin C (µg) Motilitas Linier
27. 27. Regresi pada L1 dan L2 50 55 60 65 70 75 0 200 400 Dosis Vitamin C (µg/ml) Motilitas L 1 L 2
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