12. rancangan penelitian : contoh pola faktorial
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Contoh Faktorial Faktor C : Dosis vitamin C 0 ; 200 dan 400 gram Faktor L : Lama Penyimpanan 0 ; 60 dan 120 menit Blok : Periode Penyadapan 1 ; 2 dan 3 ( interval 2 hari) Karakteristik : Motilitas
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rancangan penelitian : contoh pola faktorial
Transcript of 12. rancangan penelitian : contoh pola faktorial
Contoh Faktorial
Faktor C : Dosis vitamin C
0 ; 200 dan 400 gram
Faktor L : Lama Penyimpanan
0 ; 60 dan 120 menit
Blok : Periode Penyadapan
1 ; 2 dan 3 ( interval 2 hari)
Karakteristik : Motilitas spermatozoa
Tabel 1. C x L x Blok
Perla- B l o k Total Rataan
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 2035.00
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
Tabel 3. C x L
c 0 c 1 c 2Total
LRataan
L
l 0173.5
8180.7
9167.3
1521.68 57.96
l 1155.2
7176.7
9208.6
4540.70 60.08
l 2164.2
5202.2
1215.8
6582.32 64.70
Total C493.0
9559.7
9591.8
11644.6
9
Rataan C
54.79 62.20 65.76
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
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. JK C x L = 1201.725 - 563.6868 -
213.7516
= 424.2869
8. JK Galat = 1540.19 - 116.9371 –
1201.725
= 221.527
Tabel 4. Anava
Sumber Jumlah
Derajat
Kuadrat F F tabel
Variasi Kuadrat Bebas Tengahhitun
g 0.05 0.01
Blok 116.937 2 58.469 4.223 3.63 6.23
Perlk1201.72
5 8150.21
610.84
9 2.59 3.89
C 563.687 2281.84
320.35
6 3.63 6.23
L 213.752 2106.87
6 7.719 3.63 6.23
C x L 424.287 4106.07
2 7.661 3.01 4.77
Galat 221.527 16 13.845 =3.72
1
TOTAL1540.19
0 26 K K =6.10
8 %
»»» Memecah JK C
Perlakuan c 0 c 1 c 2 Ci.Ti r. Ci2 J K
Total Perl
493.09 559.79
591.81 (a) (b) (a2/b)
Linier -1 0 198.718
0 3x3x2541.402
6
Kuadrater 1 -2 1
34.6893 3x3x6
22.28416
Total JK C =
563.6868
»»» Memecah JK L
Perlakuan l 0 l 1 l 2 Ci.Ti r. Ci2 J K
Total Perl
521.68
540.70
582.32 (a) (b) (a2/b)
Linier -1 0 160.6409
4 3x3x2204.295
8
Kuadrater 1 -2 1
22.59675 3x3x6
9.455799
Total
JK L =213.751
6
»»» Memecah JK C x L
Perl L o c 0 c 1 c 2 Ci.Ti r. Ci2 J K
Total Perl173.5
8180.7
9 167.31 (a) (b) (a2/b)
Linier -1 0 1 -6.2712 3 x 26.55465
5
Kuadrater 1 -2 1
-20.6982 3 x 6
23.80087
Total 30.3555
2
Perl L 1 c 0 c 1 c 2 Ci.Ti r. Ci2 J K
Total Perl155.2
7176.7
9 208.64 (a) (b) (a2/b)
Linier -1 0 153.3783
2 3 x 2474.874
2
Kuadrater 1 -2 1
10.33167 3 x 6
5.930186
Total 480.804
4
Perl L 2 c 0 c 1 c 2 Ci.Ti r Ci2 J K
Total Perl164.2
5202.2
1 215.86 (a) (b) (a2/b)
Linier -1 0 151.6108
9 3 x 2443.947
4
Kuadrater 1 -2 1
-24.3227 3 x 6
32.86639
Total 476.813
8
JK C + JK C x L =
987.9737
Tabel 5. Anava
Sumber Jumlah DerajatKuadra
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
Perlakuan
1201.725 8
150.216 10.849 2.59 3.89
C 563.687 2281.84
3 20.356 3.63 6.23
Lin 541.403 1541.40
3 39.103 4.49 8.53
Kdr 22.284 1 22.284 1.609 4.49 8.53
L 213.752 2106.87
6 7.719 3.63 6.23
Lin 204.296 1204.29
6 14.755 4.49 8.53
Kdr 9.456 1 9.456 0.683 4.49 8.53
C x L 424.287 4106.07
2 7.661 3.01 4.77
Lanjutan
Sumber JumlahDeraja
tKuadra
t F F tabel
Variasi Kuadrat BebasTenga
h 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
474.874 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
443.947 32.064 4.49 8.53
C Kdr 32.866 1 32.866 2.374 4.49 8.53
Galat 221.527 16 13.845 s = 3.721
TOTAL1540.19
0 26 K K = 6.108 %
»»» 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
Perlakuan 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 -
»»» 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 -
»»» Untuk C x L
BNJ 0.05=
5.0310 x 2.1483 =
10.8081
BNJ 0.01=
6.2220 x 2.1483 =
13.3667
Perlakuan c0 l0 c0 l1 c0 l2 c1 l0 c1 l1
Rataan57.85
9 51.755 54.749 60.264 58.930
c2 l2
14.093 20.197 17.204 11.689 13.023
c2 l1
11.689 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 -
c1 l0 2.405 8.509 5.515 -
c0 l2 3.110 2.994 -
c0 l1 6.104 -
c0 l0 -
Perlakuan 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
Kurva Respon C x L
20
30
40
50
60
70
80
0 200 400
Dosis Vit C ( g)
Mot
ilita
s L 0
L 1
L 2
Kurva Respon C x L
20
30
40
50
60
70
80
0 60 120
Lama Penyimpanan (menit)
Mot
ilita
s C 0
C 1
C 2
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 3225.00111357.81
8
5 200 60.00 40000 3600.00012000.00
0
6 200 60.00 40000 3600.00012000.00
0
7 400 60.00 160000 3600.00024000.00
0
8 400 77.08 160000 5941.17730831.61
3
9 400 71.57 160000 5121.55728626.02
0
N 9
Jumlah 1800 540.6989 60000033129.39
6 118815.5
Rataan 200 60.07866666.66
7
»»» REGRESI LINIER «««
N = 9 Y = 540.6989 x2 = 240000
X = 1800 Y2 = 33129.396 y2 =645.469
3
X2 = 600000Y bar
= 60.078 xy =10675.6
6
X bar = 200
XY = 118815.45
b =xy /
x2=0.0444
82
a = Y bar - b ( X bar ) =
51.181272
Y =51.18127
2 +0.044481
9 X
Koefisien Determinasi ( r 2 ) =
73.570381 Persen
Koefisien Korelasi ( r ) =
0.8577318
Regresi pada L1
50
54
58
62
66
70
0 200 400
Dosis Vitamin C (g)
Mot
ilita
s
Linier
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 4023.99312686.99
0
5 200 67.21 40000 4517.65513442.70
0
6 200 71.57 40000 5121.55714313.01
0
7 400 67.21 160000 4517.65526885.40
1
8 400 71.57 160000 5121.55728626.02
0
9 400 77.08 160000 5941.17730831.61
3
N 9
Jumlah 1800582.3177
8 60000038242.16
2 126785.7
Rataan 200 64.70266666.66
7
»»» REGRESI LINIER «««
N = 9 Y = 582.31778 x2 = 240000
X = 1800 Y2 = 38242.162 y2
=565.05
09
X2 = 600000 Y bar = 64.702 xy
=10322.
18
X bar = 200 XY =
126785.735
b =xy / x2=
0.0430091
a = Y bar - b ( X bar ) =
56.10016
Y =56.1001
6 +0.04300
9 X
Koefisien Determinasi ( r 2 ) =
78.56768 Persen
Koefisien Korelasi ( r ) =
0.886384
Regresi pada L2
50
55
60
65
70
75
0 200 400
Dosis Vitamin C (g)
Mot
ilita
s
Linier
Regresi pada L1 dan L2
50
55
60
65
70
75
0 200 400
Dosis Vitamin C (g/ml)
Mot
ilita
s
L 1
L 2
