DASAR PEMULIAAN TERNAK- ANALISIS SIDIK RAGAM

PEJANTAN (i)	INDUK (j)	BOBOT ANAK (k)
A	1	19,00	39,00	29,47	19,47	15,47
	2	19,00	21,03	24,93	31,20	23,00
B	1	24,70	14,47	18,33	16,40	34,90
	2	18,60	22,13	25,47	26,60	26,70
C	1	38,93	25,60	28,07	26,00	31,03
	2	28,30	21,70	23,37	21,80	21,03
D	1	30,57	23,00	35,00	26,50	19,03
	2	31,95	28,60	22,45	32,60	24,00

∑ Yij.	∑ Yi..	Y2ij.	Y2ijk					(Yi..)2
122,41	241,57	14984,2081	361,00	1521,00	868,48	379,08	239,32	58356,06
119,16		14199,1056	361,00	442,26	621,50	973,44	529,00
108,80	228,30	11837,4400	610,09	209,38	335,99	268,96	1218,01	52120,89
119,50		14280,2500	345,96	489,74	648,72	707,56	712,89
149,63	265,83	22389,1369	1515,54	655,36	787,92	676,00	962,86	70665,59
116,20		13502,4400	800,89	470,89	546,16	475,24	442,26
134,10	273,70	17982,8100	934,52	529,00	1225,00	702,25	362,14	74911,69
139,60		19488,1600	1020,80	817,96	504,00	1062,76	576,00
TOTAL	1009,40	128663,55	5949,81	5135,59	5537,78	5245,29	5042,48	256054,23

Faktor Koreksi =		(∑ Yij)2	*=	(1009,4)2	*=	25472,2090
		n		40
Antar pejantan =		∑(Yi..)2	*=	256.054,23380	*=	25605,4234
		ni.		10
JKp = SS pejantan =		antar-pejantan - FK =		133,2144
Antar induk =		∑ (Yijk)2	*=	(122,41)2 + . . .	=	128663,55	.=25732,71
		n.j		5		5
JKI   = SS induk =		25732,71012	-25605,4234	*=	127,287
JKA =	∑∑∑ Y2ijk	*- antar induk	*=	26.910,9554	-25732,71012	*=	1178,25

Tabel 2. Analisis Sidik Ragam Bobot Badan Kambing Lokal
	db	JK	KT	Komponen KT	Ket.:   KT = JK/db           k1  =  k2  = ∑ anak per induk           k3  = ∑ anak per pe♂
Antar pe♂	4 - 1 = 3	JKP = 133,2144	44,40479	σA2 + k2 σI2+ k3 σP2
Antar ♀є pe ♂	8 - 4 = 4	JKI = 127,28674	31,82168	σA2 + k1 σA2
Antar anak є induk	40 - 8 = 32	JKA = 1178,2452	36,82016	σp2
Ket.:   KT = JK/db
k1  =  k2  = ∑ anak per induk
k3  = ∑ anak per pe♂

Contoh 2. keragaman

BB	LD	X	Y	X2	XY	Y2
30,57	72,87	3,2	4,426	10,24	14,1632	19,58948
23	63	-4,37	-5,444	19,0969	23,79028	29,63714
35	75	7,63	6,556	58,2169	50,02228	42,98114
26,5	65,93	-0,87	-2,514	0,7569	2,18718	6,320196
19,03	59,67	-8,34	-8,774	69,5556	73,17516	76,98308
31,95	72,67	4,58	4,226	20,9764	19,35508	17,85908
28,6	71,3	1,23	2,856	1,5129	3,51288	8,156736
22,45	64,6	-4,92	-3,844	24,2064	18,91248	14,77634
32,6	73,4	5,23	4,956	27,3529	25,91988	24,56194
24	66	-3,37	-2,444	11,3569	8,23628	5,973136
Total =273,7	684,44			243,2718	239,2747	246,8382
Rata2 =27,37	68,444
ϬX2	27,0302	5,199058		koof. Korelasi		0,976438
Ϭy2	27,42647	5,237029
				regresi		0,983569
ker	Cx	18,99546				0,983569
gaman (C)	cy	7,651553

Contoh 3. Keragaman

BB	LD	X	Y	X2	XY	Y2
38,93	78	12,347	10,693	152,4484	132,0265	114,3402
25,6	67,4	-0,983	0,093	0,966289	-0,09142	0,008649
28,07	67,97	1,487	0,663	2,211169	0,985881	0,439569
26	68	-0,583	0,693	0,339889	-0,40402	0,480249
31,03	72,7	4,447	5,393	19,77581	23,98267	29,08445
28,3	69,53	1,717	2,223	2,948089	3,816891	4,941729
21,7	62,37	-4,883	-4,937	23,84369	24,10737	24,37397
23,37	63,5	-3,213	-3,807	10,32337	12,23189	14,49325
21,8	62,23	-4,783	-5,077	22,87709	24,28329	25,77593
21,03	61,37	-5,553	-5,937	30,83581	32,96816	35,24797
265,83	673,07			266,5696	253,9072	249,186
26,583	67,307
Ϭx2	29,61885	5,44232		Koof korelasi		0,985162
Ϭy2	27,68733	5,261876
				regresi		0,952499
ker	CX	20,47293
ragaman (C)	CY	7,817724

Contoh 4 perhitungan anara.

	Tabel 4 Bobot Badab Ayam White Rock umur 8 minggu (Buku Ajar Dasmul)
Pejantan (i)	Induk (j)	Bobot anak (k)
A	1	965	813	765
	2	803	640	714
	3	644	753	705
B	1	740	798	941
	2	701	847	909
	3	909	800	853
C	1	696	807	800
	2	752	863	739
	3	686	832	796
D	1	979	798	788
	2	905	880	770
	3	797	721	765
E	1	809	756	775
	2	887	935	937
	3	872	811	925

∑ Yij.	∑ Yij	Y2ij.	Y2ijk			(Yi..)2
2.543	6.802	6.466.849	931.225	660.969	585.225	46.267.204
2.157		4.652.649	644.809	409.600	509.796
2.102		4.418.404	414.736	567.009	497.025
2.479	7.498	6.145.441	547.600	636.804	885.481	56.220.004
2.457		6.036.849	491.401	717.409	826.281
2.562		6.563.844	826.281	640.000	727.609
2.303	6.971	5.303.809	484.416	651.249	640.000	48.594.841
2.354		5.541.316	565.504	744.769	546.121
2.314		5.354.596	470.596	692.224	633.616
2.565	7.403	6.579.225	958.441	636.804	620.944	54.804.409
2.555		6.528.025	819.025	774.400	592.900
2.283		5.212.089	635.209	519.841	585.225
2.340	7.707	5.475.600	654.481	571.536	600.625	59.397.849
2.759		7.612.081	786.769	874.225	877.969
2.608		6.801.664	760.384	657.721	855.625
36.381	36.381	88.692.441	9.990.877	9.754.560	9.984.442	265.284.307
		∑∑∑ Y2ijk	29.729.879	=

Faktor Koreksi =		(∑ Yij)2	*=	(36.381)2	*=	29412825,8
		n..		45
Antar pejantan =		∑(Yi..)2	*=	265.284.307	*=	29476034,11
		ni.		9
JKp = SS pejantan =		antar-pejantan - FK =		63208,31111
Antar induk =		∑ (Yijk)2	*=	(2543)2 + . . .	(2608)2	*= 88692441	=29564147
		n.j		3		3
JKI   = SS induk =		29564147	-29476034	*=	88112,889
JKA =	∑∑∑ Y2ijk	*- antar induk	*=	29.729.879	*- 29.564.147	*=	165732
Tabel 5. Analisis Sidik Ragam Bobot Anak Ayam White Rock Umur 8 minggu (Buku Ajar Dasmul)
Sumber Keragaman	db	JK	KT	Komponen KT
Antar pe♂	5 - 1 = 4	JKP = 63.208	15802	σA2 + k2 σI2+ k3 σP2
Antar ♀є pe ♂	15 - 5 = 10	JKI = 88.113	8811	σA2 + k1 σA2
Antar anak є induk	45 - 15 = 30	JKA = 165.732	5524	σp2
Ket.:   KT = JK/db
k1  =  k2  = ∑ anak per induk
k3  = ∑ anak per pe♂

Contoh 5. Herritabilitas

no	rataan sapi jantan	x2	rataan bobot anak	y2	xy
	(x)		(y)
1	40	1600	58	3364	2320
2	62	3844	67	4489	4154
3	51	2601	53	2809	2703
4	49	2401	68	4624	3332
5	56	3136	53	2809	2968
6	66	4356	70	4900	4620
7	41	1681	78	6084	3198
8	61	3721	67	4489	4087
9	55	3025	56	3136	3080
10	45	2025	41	1681	1845
11	59	3481	60	3600	3540
12	57	3249	59	3481	3363
total	642	35120	730	45466	39210
kuadrat	412164		532900

#	b={ɛxy-(ɛx.ɛy)/n}		b={39210-(642.730)/12}		b=	155
	{ɛx2-(ɛx)²/n}		{35120-(412164)/12}			773
					=	0,2005175
#	h²=2b	h²=	2.0,2
		=	0,4010
#	s²b=[{ɛy²-(ɛy)²/n -		{xy-(ɛx.ɛy)/n}²	]/n-2
			{ɛx²-(ɛx)²/n}
	=	1057,7	-	24025
				773
	=	1026,6	=	102,66
#	S.E.(b)=akar dari S²b/(ɛx²-(ɛx)²/n)
	=	0,3644
#	S.E.(h²)=	2.S.E.(b)
	=	0,7288
#	h²= 0,40 ± 0,7288

Contoh 6. Herritabilitas

pejantan (1)			induk (X) (2)		X²	ɛxi (3)		rataan anak (Y)(4)			Y²	ɛyi (5)	ɛxiyi (6)	ɛXi. Yi (7)
1			764		583696	5143824,00		809			654481	4999696	1690416,00	618076
			624		389376	1714608,00		703			494209	1666565,33		438672
			880		774400	2268,00		724			524176	2236	5071248	637120
2			744		553536	5198400,00		725			525625	5621641	1801960,00	539400
			724		524176	1732800,00		840			705600	1873880,33		608160
			812		659344	2280,00		806			649636	2371	5405880	654472
3			766		586756	2483776,00		778			605284	2617924	1274984,00	595948
1241888,00			810		656100	1576,00		840			705600	1618	2549968	680400
4			970		940900	6507601,00		851			724201	6165289	2111377,7	825470
			849		720801	2169200,33		802			643204	2055096,33		680898
			732		535824	2551,00		830			688900	2483	6334133	607560
5			740		547600	2193361,00		808			652864	2699449	1216641,50	597920
1096680,50			741,00		549081	1481,00		835			697225	1643	2433283	618735
6			831		690561	4853209,00		830			688900	4562496	1568536,00	689730
			639		408321	1617736,33		802			643204	1520832		512478
			733		537289	2203,00		504			254016	2136	4705608	369432
					9657761						9857125			9674471
						9572913,17							9663915,2
						84847,83333							10555,83333
#	ɛ² X u/ Induk dlm pejantan
	=	84847,83
#	ɛ hasil kali anak-induk dlm pejantan
	=	10555,833
#	regresi anak terhadap induknya
	b=	0,124409								1308962,00
	h²=	2.b=		0,2488
#	galat baku pada metode ini
	S²b={Jkdyy-(JHKdxy)²/JKdxx}/ {d-s-1}									1349724,50
	=	82064,5		-(JHKdxy)²/JKdxx}/ {d-s-1}
	=	80751,259		/ {d-s-1}
	=	8972,3622
#	S.E.(b)= akar dari S²b/JKdxx
		=		0,325
#	S.E.(h²)= 2.S.E.(b)
		=		0,650
#	Dengan demikian nilai Herritabilitas =						0,2488		±	0,65

Contoh 7. Herritabilitas

	berikut ini adalah data bobot ayam umur 8 minggu hal 37 b.ajar
pejantan		induk		keturunan																total induk
				1		2		3		4			5
1		1		687		691		793		675			700							3546
		2		618		680		592		683			631			2048,6				3204
		3		618		687		763		747			678							3493
2		1		600		657		669		606			718			1314,2				3250
		2		700		658		674		611			678							3321
3		1		709		704		690		700			675			2759				3478
		2		765		694		691		631			706							3487
		3		603		731		737		678			747							3496
		4		648		669		693		718			606							3334
4		1		764		740		734		745			732			1465,6				3715
		2		720		744		712		714			723							3613
Ɛx				7432		7655		7748		7508			7594							37937
Ɛx²				55234624		58599025		60031504		56370064			57668836							26291905
										287904053
			total pejantan
							1		2		3			4			5
12574116					34973016,33		471969		477481		628849			455625			490000		26291905
10265616							381924		462400		350464			466489			398161
12201049			10243		104919049		381924		471969		582169			558009			459684
10562500					21589020,5		360000		431649		447561			367236			515524
11029041			6571		43178041		490000		432964		454276			373321			459684
12096484					47575506,25		502681		495616		476100			490000			455625
12159169							585225		481636		477481			398161			498436
12222016							363609		534361		543169			459684			558009
11115556			13795		190302025		419904		447561		480249			515524			367236
13801225					26849792		583696		547600		538756			555025			535824
13053769			7328		53699584		518400		553536		506944			509796			522729
131080541			26167563,07
			FK

analisis sidik ragam bobot tubuh ayam umur 8 minggu denan metode nested design
SUMBER KERAGAMAN	db	JK	KT	KOMPONEN
total	54	124341,93
antar pejantan	3	29903,944	9967,9813	Ϭ²w+k₁Ϭ²d+k₂Ϭ²s
antar induk dalam pejantan	7	48545,127	6935,0181	Ϭ²w+k₁Ϭ²d
antar anak dalam induk	44	45892,85633	1043,0195	Ϭ²w