ANALISA STATISTIK
LAMPIRAN 2 ANALISA STATISTIK
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10
S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3
Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys) Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As,
Y6=insoluble in alcohol
OBS P S T R Y1 Y2 Y3 Y4 Y5 Y6 P2 S2 PS
1 6 125 1 1 85.8466 75.5 182.606 -8.0878 0.0381 0.02376 36 15625 750 2 6 125 1 2 85.8425 74.0 181.286 -0.6070 -0.0410 0.01785 36 15625 750 3 6 125 1 3 84.9772 69.0 178.998 . . 0.01230 36 15625 750 4 6 150 2 1 90.2796 78.0 184.520 -4.4622 0.0656 0.01829 36 22500 900 5 6 150 2 2 86.7313 74.0 185.113 -1.8982 0.0568 0.00885 36 22500 900 6 6 150 2 3 85.8542 72.0 180.475 . . 0.01147 36 22500 900 7 6 175 3 1 86.7367 74.0 183.738 -2.3328 0.1278 0.02553 36 30625 1050 8 6 175 3 2 86.7343 78.0 186.295 3.8040 0.0001 0.01540 36 30625 1050 9 6 175 3 3 84.0725 68.0 182.227 . . 0.01187 36 30625 1050
10 8 125 4 1 88.4907 60.5 182.210 -2.7255 0.0376 0.03024 64 15625 1000 11 8 125 4 2 88.5015 67.0 182.723 1.6625 -0.0237 0.01837 64 15625 1000 12 8 125 4 3 86.7370 60.5 180.192 . . 0.00905 64 15625 1000 13 8 150 5 1 84.9726 71.0 186.315 -2.9390 -0.0918 0.02650 64 22500 1200 14 8 150 5 2 84.9518 76.0 185.274 3.8366 -0.5944 0.01517 64 22500 1200 15 8 150 5 3 84.9638 70.0 186.401 . . 0.01037 64 22500 1200 16 8 175 6 1 84.9380 73.5 187.138 -0.8391 -0.0237 0.01293 64 30625 1400 17 8 175 6 2 84.0782 74.0 187.486 -0.8376 -0.0686 0.01663 64 30625 1400 18 8 175 6 3 87.6145 73.5 186.639 . . 0.01016 64 30625 1400
19 10 125 7 1 84.9607 66.0 185.208 1.0269 -0.1478 0.02765 100 15625 1250 20 10 125 7 2 85.8294 69.5 182.775 1.0652 -0.2850 0.02033 100 15625 1250 21 10 125 7 3 87.6142 67.5 182.829 . . 0.01297 100 15625 1250 22 10 150 8 1 89.3909 72.0 187.200 -0.8349 -0.0558 0.01278 100 22500 1500 23 10 150 8 2 83.1984 74.5 182.912 1.5013 -0.0783 0.01154 100 22500 1500 24 10 150 8 3 87.6221 72.0 184.693 . . 0.01316 100 22500 1500 25 10 175 9 1 84.0753 77.0 188.423 -0.6178 0.1268 0.01731 100 30625 1750 26 10 175 9 2 87.6011 75.0 186.731 4.0810 0.0380 0.01236 100 30625 1750 27 10 175 9 3 84.9418 74.0 187.369 . . 0.00794 100 30625 1750
1. Analisa Rendemen
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10 S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3 Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys) Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As, Y6=insoluble in alcohol
General Linear Models Procedure Class Level Information
Class Levels Values
Number of observations in data set = 27
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10 S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3 Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys) Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As, Y6=insoluble in alcohol
General Linear Models Procedure
Dependent Variable: Rendemen (Y1)
Source DF Sum of Squares Mean Square F Value Pr > F
Model 8 24.52347771 3.06543471 0.99 0.4767
Error 18 55.83731560 3.10207309
Corrected Total 26 80.36079330
R-Square C.V. Root MSE Y1 Mean
Source DF Type I SS Mean Square F Value Pr > F
P 2 0.24911207 0.12455603 0.04 0.9607 S 2 4.30586165 2.15293083 0.69 0.5124 P*S 4 19.96850399 4.99212600 1.61 0.2151
2. Analisa Titik Lunak
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10 S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3 Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys) Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As, Y6=insoluble in alcohol
General Linear Models Procedure Class Level Information
Class Levels Values
Number of observations in data set = 27
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10 S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3 Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys) Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As, Y6=insoluble in alcohol
General Linear Models Procedure
Dependent Variable: Titik lunak (Y2)
Source DF Sum of Squares Mean Square F Value Pr > F
Model 8 388.12962963 48.51620370 5.58 0.0012
Error 18 156.50000000 8.69444444
Corrected Total 26 544.62962963
R-Square C.V. Root MSE Y2 Mean
Source DF Type I SS Mean Square F Value Pr > F
P 2 74.79629630 37.39814815 4.30 0.0297 S 2 217.12962963 108.56481481 12.49 0.0004 P*S 4 96.20370370 24.05092593 2.77 0.0593
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10 S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3
Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys) Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As,
Y6=insoluble in alcohol
General Linear Models Procedure
Duncan's Multiple Range Test for variable: Y2
NOTE: This test controls the type I comparisonwise error rate, not the
experimentwise error rate
Alpha= 0.05 df= 18 MSE= 8.694444
Number of Means 2 3 Critical Range 2.920 3.064
Means with the same letter are not significantly different.
Duncan Grouping Mean N P
A 73.611 9 6 A
B A 71.944 9 10 B B 69.556 9 8
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10 S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3
Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys) Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As,
Y6=insoluble in alcohol
General Linear Models Procedure
Duncan's Multiple Range Test for variable: Y2
NOTE: This test controls the type I comparisonwise error rate, not the
experimentwise error rate
Alpha= 0.05 df= 18 MSE= 8.694444
Number of Means 2 3 Critical Range 2.920 3.064
Means with the same letter are not significantly different.
Duncan Grouping Mean N S
A 74.111 9 175 A A 73.278 9 150
B 67.722 9 125
The SAS System
The GLM Procedure
Number of Observations Read 27 Number of Observations Used 27
The SAS System The GLM Procedure
Dependent Variable: Titik lunak (Y2)
Sum of
Source DF Squares Mean Square F Value Pr > F
Model 2 195.3317000 97.6658500 1.406E7 <.0001
Error 24 0.0001667 0.0000069
Corrected Total 26 195.3318667
R-Square Coeff Var Root MSE SP Mean
Source DF Type I SS Mean Square F Value Pr > F
P 1 8.1204500 8.1204500 1169345 <.0001 T 1 187.2112500 187.2112500 2.696E7 <.0001
Standard Parameter Estimate Error t Value Pr > |t|
Intercept 54.78111111 0.00450765 12152.9 <.0001
P -0.33583333 0.00031056 -1081.4 <.0001 T 0.12900000 0.00002485 5192.15 <.0001
3. Analisis Bilangan Asam
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10 S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3 Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys)
Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As,
Y6=insoluble in alcohol
General Linear Models Procedure Class Level Information
Class Levels Values
Number of observations in data set = 27
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10 S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3 Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys)
Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As,
Y6=insoluble in alcohol
General Linear Models Procedure
Dependent Variable: Bilangan asam (Y3)
Source DF Sum of Squares Mean Square F Value Pr > F
Model 8 121.65957106 15.20744638 5.80 0.0010
Error 18 47.19291344 2.62182852
Corrected Total 26 168.85248451
R-Square C.V. Root MSE Y3 Mean
Source DF Type I SS Mean Square F Value Pr > F
P 2 33.46054013 16.73027007 6.38 0.0080 S 2 79.16392539 39.58196270 15.10 0.0001 P*S 4 9.03510553 2.25877638 0.86 0.5056
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10 S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3
Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys) Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As,
Y6=insoluble in alcohol
General Linear Models Procedure
Duncan's Multiple Range Test for variable: Y3
NOTE: This test controls the type I comparisonwise error rate, not the
experimentwise error rate
Alpha= 0.05 df= 18 MSE= 2.621829
Number of Means 2 3 Critical Range 1.604 1.683
Means with the same letter are not significantly different.
Duncan Grouping Mean N P
A 185.3489 9 10 A
A 184.9310 9 8
B 182.8063 9 6
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10 S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3
Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys) Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As,
Y6=insoluble in alcohol
General Linear Models Procedure
Duncan's Multiple Range Test for variable: Y3
NOTE: This test controls the type I comparisonwise error rate, not the
experimentwise error rate
Alpha= 0.05 df= 18 MSE= 2.621829
Number of Means 2 3 Critical Range 1.604 1.683
Means with the same letter are not significantly different.
Duncan Grouping Mean N S
A 186.2272 9 175 A A 184.7670 9 150
B 182.0920 9 125
The SAS System The GLM Procedure
Number of Observations Read 27 Number of Observations Used 27
The SAS System The GLM Procedure
Dependent Variable: Bilangan Asam (Y3)
Sum of
Source DF Squares Mean Square F Value Pr > F
Model 2 109.3938775 54.6969388 Infty <.0001
Error 24 0.0000000 0.0000000
Corrected Total 26 109.3938775
R-Square Coeff Var Root MSE BA Mean
Source DF Type I SS Mean Square F Value Pr > F
P 1 13.01989626 13.01989626 Infty <.0001 T
1 96.37398128 96.37398128 Infty <.0001
Standard
Parameter Estimate Error t Value Pr > |t|
Intercept 167.2485122 0 Infty <.0001 P 0.4252433 0 Infty <.0001 T 0.0925558 0 Infty <.0001
4. Analisa Kadar Pb
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10 S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3 Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys) Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As, Y6=insoluble in alcohol
General Linear Models Procedure Class Level Information
Class Levels Values
Number of observations in data set = 27
NOTE: Due to missing values, only 18 observations can be used in this analysis.
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10 S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3 Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys) Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As, Y6=insoluble in alcohol
General Linear Models Procedure
Dependent Variable: Kadar Pb (Y4)
Source DF Sum of Squares Mean Square F Value Pr > F
Model 8 65.18346287 8.14793286 0.76 0.6450
Error 9 96.44904963 10.71656107
Corrected Total 17 161.63251250
R-Square C.V. Root MSE Y4 Mean
0.403282 -640.1839 3.27361590 -0.51135556
Source DF Type I SS Mean Square F Value Pr > F
P 2 33.06460214 16.53230107 1.54 0.2654 S 2 10.69011538 5.34505769 0.50 0.6231 P*S 4 21.42874535 5.35718634 0.50 0.7371
5. Analisa Kadar As
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10 S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3 Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys) Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As, Y6=insoluble in alcohol
General Linear Models Procedure Class Level Information
Class Levels Values
Number of observations in data set = 27
NOTE: Due to missing values, only 18 observations can be used in this analysis.
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10 S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3 Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys) Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As, Y6=insoluble in alcohol
General Linear Models Procedure
Dependent Variable: Kadar Arsen (Y5)
Source DF Sum of Squares Mean Square F Value Pr > F
Model 8 0.32474391 0.04059299 2.37 0.1102
Error 9 0.15411877 0.01712431
Corrected Total 17 0.47886268
R-Square C.V. Root MSE Y5 Mean
0.678157 -256.2251 0.13085988 -0.05107222
Source DF Type I SS Mean Square F Value Pr > F
P 2 0.08763336 0.04381668 2.56 0.1319 S 2 0.07057261 0.03528630 2.06 0.1833 P*S 4 0.16653794 0.04163449 2.43 0.1235
51
6. Analisa Fraksi Tak Larut Alkohol
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10 S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3 Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys) Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As, Y6=insoluble in alcohol
General Linear Models Procedure Class Level Information
Class Levels Values
Number of observations in data set = 27
sas output data gondorukem hidrogenasi P = Tekanan (?): p6 = 6, p8 = 8, p10 = 10
S = Suhu: s125 = 125, s150 = 150, s175 = 175 T = Kombinasi faktor A & B R = Ulangan 3 kali: r1, r2, r3 Rancangan acak lengkap faktorial dengan model Yijk = u + Pi + Sj +(PS)ij + eijk Penelaahn dilanjutkan dengan uji Duncan & analisis regresi berganda (multiple regr anlys) Pengamatan: Y1=Rendemen,Y2=Titik lunak,Y3=Bil-asam,Y4=kadar Pb,Y5=kadar As, Y6=insoluble in alcohol
General Linear Models Procedure
Dependent Variable: Fraksi Tak Larut Alkohol (Y6)
Source DF Sum of Squares Mean Square F Value Pr > F
Model 8 0.00023683 0.00002960 0.71 0.6801
Error 18 0.00075074 0.00004171
Corrected Total 26 0.00098757
R-Square C.V. Root MSE Y6 Mean
0.239813 40.47768 0.00645814 0.01595481
Source DF Type I SS Mean Square F Value Pr > F
P 2 0.00001044 0.00000522 0.13 0.8831 S 2 0.00013968 0.00006984 1.67 0.2153 P*S 4 0.00008671 0.00002168 0.52 0.7224