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Lampiran 1. Hasil analisis varian pola tersarang (NESTED) Nested ANOVA: POTONG versus Bapak; Induk; Itik Analysis of Variance for POTONG Source DF SS MS Bapak 7 695443.6622 99349.0946 Induk 25 2042242.8628 81689.7145 Itik 81 11887777.0978 146762.6802 Total 113 14625463.6228 Variance Components Source Var Comp. % of Total StDev Bapak 1941.037 1.31 44.057 Induk -19648.980* 0.00 0.000 Itik 146762.680 98.69 383.096 Total 148703.717 385.621 * Value is negative, and is estimated by zero. Expected Mean Squares 1 Bapak 1.00(3) + 3.75(2) + 13.57(1) 2 Induk 1.00(3) + 3.31(2) 3 Itik 1.00(3) Nested ANOVA: MATI versus Bapak; Induk; Itik Analysis of Variance for MATI Source DF SS MS Bapak 7 587120.8581 83874.4083 Induk 25 1726265.2019 69050.6081 Itik 81 8802950.5102 108678.4014 Total 113 11116336.5702 Variance Components Source Var Comp. % of Total StDev Bapak 1481.914 1.35 38.496 Induk -11965.733* 0.00 0.000 Itik 108678.401 98.65 329.664 Total 110160.315 331.904 * Value is negative, and is estimated by zero. Expected Mean Squares 1 Bapak 1.00(3) + 3.75(2) + 13.57(1) 2 Induk 1.00(3) + 3.31(2) 3 Itik 1.00(3) 109
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Lampiran 2. Contoh pembuatan program analisis non-linier model Gompertz dan hasil perhitungan DATA PM; INPUT NO X YB; CARDS; PROC NLIN best=10 method=marquardt; PARMS B0=10 to 60 by 1 B1=1 to 10 by 0.1 B2=0 to 0.1 by 0.01; MODEL yb=b0*exp(-b1*exp(-b2*x)); der.b0=exp(-b1*exp(-b2*x)); der.b1=-b0*exp(-b1*exp(-b2*x))*exp(-b2*x); der.b2=b0*b1*x*exp(-b1*exp(-b2*x))*exp(-b2*x); TITLE ‘LAJU PERTUMBUHAN MORFOLOGI PM'; RUN; Hasil Analisis :
The SAS System
Non-Linear Least Squares Grid Search Dependent Variable YB B0 B1 B2 Sum of Squares 35.000000 1.700000 0.020000 395.150993 34.000000 1.600000 0.020000 397.188500 35.000000 1.600000 0.020000 400.106767 36.000000 1.700000 0.020000 403.266520 36.000000 1.800000 0.020000 433.076083 34.000000 1.500000 0.020000 443.542153 33.000000 1.500000 0.020000 444.318797 37.000000 1.800000 0.020000 447.535277 34.000000 1.700000 0.020000 459.550995 33.000000 1.600000 0.020000 470.737330 Non-Linear Least Squares Iterative Phase Method: Marquardt Iter B0 B1 B2 0 35.000000 1.700000 1 36.845044 1.670907 2 38.391341 1.701680 3 38.652674 1.706651 4 38.656684 1.706714 5 38.656694 1.706714 NOTE: Convergence criterion met.
Dependent Variable YB Sum of Squares 0.020000 395.150993 0.017945 376.084081 0.016950 373.690825 0.016863 373.369524 0.016861 373.369456 0.016861 373.369456
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Non-Linear Least Squares Summary Statistics Source
DF Sum of Squares
Dependent Variable YB
Mean Square
Regression 3 45422.520544 15140.840181 Residual 131 373.369456 2.850149 Uncorrected Total 134 45795.890000 (Corrected Total) 133 9968.134701 Parameter B0 B1 B2
Estimate
Asymptotic Asymptotic 95 % Std. Error Confidence Interval Lower Upper 38.65669384 2.5007511053 33.709569510 43.603818174 1.70671415 0.0551262644 1.597660320 1.815767979 0.01686120 0.0016170603 0.013662241 0.020060158 Asymptotic Correlation Matrix
Corr B0 B1 B2
B0
B1
B2
1 0.8454940886 -0.975960726 0.8454940886 1 -0.742592567 -0.975960726 -0.742592567 1
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Lampiran 3. Contoh pembuatan program analisis non-linier model WOOD dan hasil perhitungan DATA WOOD; INPUT n x yb; CARDS; PROC SORT; by n; PROC NLIN best=10 method=DUD; by n; PARMS B0=1 to 10 by 1 B1=1 to 10 by 0.1 B2=0 to 0.1 by 0.01; MODEL yb=b0*x**b1*exp(-b2*x); by n; TITLE 'PRODUKSI TELUR DARI GALUR INDUK'; RUN; Hasil Analisis :
TELUR ITIK PM
Non-Linear Least Squares Grid Search Dependent Variable YB B0 B1 B2 Sum of Squares 2.000000 1.000000 0.100000 1490.292254 1.000000 1.100000 0.080000 1639.128364 1.000000 1.200000 0.100000 1645.546307 1.000000 1.000000 0.070000 1652.553653 1.000000 1.000000 0.060000 1660.991052 1.000000 1.100000 0.090000 1661.565051 1.000000 1.200000 0.090000 1709.158510 1.000000 1.000000 0.080000 1735.466222 1.000000 1.100000 0.070000 1741.785862 2.000000 1.000000 0.090000 1750.091531 Non-Linear Least Squares DUD Initialization Dependent Variable YB DUD B0 B1 B2 Sum of Squares -4 2.000000 1.000000 0.100000 1490.292254 -3 2.200000 1.000000 0.100000 1641.551031 -2 2.000000 1.100000 0.100000 2254.262602 -1 2.000000 1.000000 0.110000 1389.275653 Non-Linear Least Squares Iterative Phase Dependent Variable YB Method: DUD Iter B0 B1 B2 Sum of Squares 0 2.000000 1.000000 0.110000 1389.275653 1 6.352976 -0.711436 -0.106302 949.770934 2 5.868832 -0.160493 -0.001143 711.032606 3 6.114925 -0.171601 -0.013812 575.575297 4 6.152437 -0.034546 0.002291 545.589527 5 6.038256 -0.035661 0.004544 543.967992 6 6.164407 -0.036772 0.006094 543.423521 112
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7 6.189574 -0.030689 8 6.189479 -0.030757 9 6.187163 -0.030195 10 6.187545 -0.030242 11 6.187537 -0.030242 NOTE: Convergence criterion met.
0.005868 0.005852 0.005906 0.005903 0.005903
Non-Linear Least Squares Summary Statistics Source
DF Sum of Squares
542.042816 542.042803 542.042355 542.042348 542.042348
Dependent Variable YB
Mean Square
Regression 3 4180.9576521 1393.6525507 Residual 132 542.0423479 4.1063814 Uncorrected Total 135 4723.0000000 (Corrected Total) 134
567.4370370 TELUR PM
Parameter B0 B1 B2
Estimate
Asymptotic Asymptotic 95 % Std. Error Confidence Interval Lower Upper 6.187537218 0.31897296849 5.5565717460 6.8185026898 -0.030241992 0.06566257719 -0.1601301742 0.0996461899 0.005903343 0.01114142334 -0.0161356831 0.0279423682 Asymptotic Correlation Matrix
Corr B0 B1 B2
B0 B1 B2 1 -0.304304949 0.0051195967 -0.304304949 1 0.9211494044 0.0051195967 0.9211494044 1
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Lampiran 4. Tabel pola warna bulu Mandalung pada saat dewasa Uraian 1. Warna kepala • Abu-abu • Hitam • Putih • Lurik • Coklat 2. Pola belang kepala • Coklat putih • Hitam • Lurik coklat • Lurik • Putih • Solid 3. Warna leher • Abu-abu • Coklat • Hitam • Putih • Lurik 4. Pola belang leher • Abu-abu • Coklat • Hitam • Lurik coklat • Putih • Solid • Coklat hitam • Lurik hitam • Lurik • Lurik putih
n
EPM
EPA
%
n
%
8 12 73 0 0
8.6 12.9 78.5 0 0
0 63 18 2 4
0.0 72.4 20.7 2.3 4.6
1 63 2 2 9 16 0
1.1 67.7 2.2 2.2 9.7 17.1 0.0
0 15 3 21 26 11 7
0.0 17.2 3.4 24.2 29.9 12.7 8.2
1 1 3 88 0
1.1 1.1 3.2 94.6 0.0
0 2 8 75 2
0.0 2.3 9.2 86.2 2.3
1 1 8 2 2 79 0 0 0 0
1.1 1.1 8.6 2.2 2.2 84.9 0.0 0.0 0.0 0.0
2 3 25 5 6 35 4 1 5 1
2.2 3.4 28.8 5.8 6.9 40.3 4.6 1.1 5.8 1.1
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Lampiran 5. Tabel pola warna bulu Mandalung pada saat dewasa (Lanjutan) EPM EPA Uraian n % n % 5. Warna punggung 3 3.2 0 0.0 • Abu-abu 1 1.1 0 0.0 • Bercak coklat 1 1.1 2 2.2 • Coklat 49 52.7 62 71.3 • Hitam 1 1.1 11 12.6 • Lurik 38 40.9 12 13.8 • Putih 6. Pola belang punggung 1 1.1 1 1.1 • Abu-abu 1 1.1 0 0.0 • Coklat putih 23 24.7 15 17.2 • Hitam 1 1.1 0 0.0 • Lurik coklat 2 2.2 6 6.9 • Lurik 18 19.4 23 26.5 • Putih 47 50.5 38 43.8 • Solid 0 0.0 1 1.1 • Coklat hitam 0 0.0 3 3.4 • Coklat 7. Warna dada 3 3.2 4 4.6 7 7.5 0 0.0 • Coklat 1 1.1 11 12.6 • Hitam 82 88.2 64 73.6 • Lurik 0 0.0 8 9.2 • Putih • Coklat putih 8. Pola belang dada 3 3.2 0 0.0 • Bercak coklat 1 1.1 0 0.0 • Coklat putih 8 8.6 8 9.3 • Hitam 10 10.8 13 14.9 • Lurik coklat 1 1.1 0 0.0 • Lurik hitam 3 3.2 12 13.9 • Lurik 2 2.2 37 42.7 • Putih 65 69.9 6 6.9 • Solid 0 0.0 8 9.3 • Coklat
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Lampiran 6. Tabel pola warna bulu Mandalung pada saat dewasa (Lanjutan) EPM EPA Uraian n % n % 9. Warna sayap 1 1.1 2 2.3 • Abu-abu 1 1.1 0 0.0 • Lurik coklat 16 17.2 8 9.2 • Lurik 74 79.6 26 29.9 • Putih 1 1.1 0 0.0 • Coklat 0 0.0 51 58.6 • Hitam 10. Pola belang sayap • Hitam 7 7.5 16 18.4 • Lurik coklat 8 8.6 1 1.1 • Lurik 2 2.2 6 6.9 • Putih 5 5.4 34 39.2 • Solid 71 76.3 20 23.0 • Abu-abu 0 0 8 9.2 • Coklat hitam 0 0.0 1 1.1 • Coklat 0 0.0 1 1.1 11. Warna paha • Abu-abu 2 2.2 9 10.3 3 3.2 0 0.0 • Bercak 1 1.1 4 4.7 • Coklat 14 15.1 9 10.3 • Hitam 73 78.4 33 37.9 • Putih 0 0.0 1 1.1 • Abu hitam 0 0.0 1 1.1 • Lurik coklat 0 0.0 30 34.6 • Lurik 12. Pola belang paha • Hitam 3 3.2 18 20.7 • Lurik coklat 6 6.5 0 0.0 • Lurik 2 2.2 10 11.5 • Putih 8 8.6 28 32.2 • Solid 74 79.5 26 29.9 • Coklat hitam 0 0.0 1 1.1 • Coklat 0 0.0 4 4.6
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Lampiran 7. Hasil analisis uji t-test bobot badan pada Mandalung EPM dan EPA TTEST PROCEDURE Variable: BBT1 BGS N Mean Std Dev Std Error Variances T DF Prob>|T| -------------------------------------------------------- --------------------------------------EPA 120 100.90833333 22.03739977 2.01173016 Unequal 4.3420 236.0 0.0001 EPM 118 88.52542373 21.95827896 2.02142343 Equal 4.3419 236.0 0.0000 For H0: Variances are equal, F' = 1.01
DF = (119,117) Prob>F' = 0.9693
Variable: BBT2 BGS N Mean Std Dev Std Error Variances T DF Prob>|T| -------------------------------------------------------- --------------------------------------EPA 120 261.25000000 75.11596077 6.85711769 Unequal 0.4020 225.4 0.6881 EPM 118 257.72881356 59.21028165 5.45074824 Equal 0.4012 236.0 0.6886 For H0: Variances are equal, F' = 1.61
DF = (119,117) Prob>F' = 0.0103
Variable: BBT3 BGS N Mean Std Dev Std Error Variances T DF Prob>|T| -------------------------------------------------------- --------------------------------------EPA 120 521.70833333 87.51618298 7.98909793 Unequal 2.0663 221.4 0.0400 EPM 118 494.77966102 111.84865657 10.29650343 Equal 2.0705 236.0 0.0395 For H0: Variances are equal, F' = 1.63
DF = (117,119) Prob>F' = 0.0081
Variable: BBT4 BGS N Mean Std Dev Std Error Variances T DF Prob>|T| -------------------------------------------------------- --------------------------------------EPA 119 851.20168067 145.92345218 13.37678093 Unequal -0.7897 225.7 0.4306 EPM 118 867.88983051 177.72670770 16.36106960 Equal -0.7903 235.0 0.4301 For H0: Variances are equal, F' = 1.48
DF = (117,118) Prob>F' = 0.0334
Variable: BBT5 BGS N Mean Std Dev Std Error Variances T DF Prob>|T| -------------------------------------------------------- --------------------------------------EPA 119 1318.01680672 189.61361172 17.38185129 Unequal -1.4215 234.2 0.1565 EPM 118 1353.95762712 199.46044288 18.36182210 Equal -1.4218 235.0 0.1564 For H0: Variances are equal, F' = 1.11
DF = (117,118) Prob>F' = 0.5838
Variable: BBT6 BGS N Mean Std Dev Std Error Variances T DF Prob>|T| -------------------------------------------------------- --------------------------------------EPA 117 1859.59829060 240.15336550 22.20218649 Unequal 3.1415 233.0 0.0019 EPM 118 1760.02542373 245.72176823 22.62052229 Equal 3.1412 233.0 0.0019 For H0: Variances are equal, F' =1.05
DF = (117,116)
Prob>F' = 0.8052
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Bogar Agricultural University
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