Diallel Analysis

Diallel Aanalysis

GCA/SCA Table

Std.Errors

Hayman's

Heterosis Table

Summary

Vr Wr Graphs

PDF Version

**ANOVA for Days to Maturity**
Source of Variations	df	Sum of Squares	Mean Squares	F Ratio	Probability		h²	hp²	w²
Replicates	2	28.01904	14.00952	1.862	0.16294		0.017	0.051	0.008
Treatments	35	1122.02850	32.05796	4.261	0.00000	***	0.669	0.681	0.307
Parents	7	390.98664	55.85523	7.425	0.00000	***	0.233	0.426	0.164
Hybrids	27	720.67480	26.69166	3.548	0.00001	***	0.430	0.578	0.216
Parent Vs.Hybrids	1	10.36707	10.36707	1.378	0.24441		0.006	0.019	0.002
Error	70	526.61017	7.52300
Total	107	1676.65772	15.66970

**ANOVA for Days to Maturity**
Source of Variations	df	Sum of Squares	Mean Squares	F Ratio	Probability
GCA	7	235.36090	33.62299	13.408	0.00000	***
SCA	28	138.64860	4.95174	1.975	0.01150	*
Error	70	175.53672	2.50767

PARENTALµ	111.70000	VoLo	18.61841
GENERAL µ	112.27963
F1 µ	112.44524
Av.Heterosis %	0.66718

**G.C.A. & S.C.A. Effects Table**
Parents	1 Parent	2 Parent	3 Parent	4 Parent	5 Parent	6 Parent	7 Parent	8 Parent
1 Parent	0.744	1.154	2.464	-0.030	-2.693	0.070	-2.910	0.457
2 Parent		0.497	2.274	1.547	-1.283	-0.386	-4.966	0.667
3 Parent			0.050	-0.776	-0.773	0.257	-1.390	-2.156
4 Parent				-4.536	2.367	0.830	3.584	1.550
5 Parent					-0.063	1.300	-1.080	2.287
6 Parent						-0.470	0.484	-1.616
7 Parent							1.437	3.404
8 Parent								-2.296
GCA Effects	-2.112***	-0.655	-2.432***	-0.538	0.725	0.895	3.208***	0.908
Parental Means	108.800	111.467	107.467	106.667	113.667	113.600	120.133	111.800

Genetic Componenets	Fixed Effect	Random Effect
s² g	3.11153	2.86712
s² s	2.44407	2.44407
s² reciprocal	0.00000	0.00000
s² e	2.50767	2.50767
s² a	6.22306	5.73425
s² D	2.44407	2.44407
s² p	11.17480	10.68599
h² Narrow Sense	0.55688	0.53661
h² Broad Sense	0.77560	0.76533
GCA/SCA Ratio	1.27310	1.17310

Comparison	S. E. Mean	Critical Diff.
Mu	0.26393
Gi	0.46842	0.93424
Sii	1.24913	2.49130
Sij	1.43592	2.86383
Gi--Gj	0.70819	1.41243
Sii--Sjj	1.73470	3.45974
Sij--Sik	2.12457	4.23730
Sij--Skl	2.00306	3.99496

**Heterosis Table**
F1		Mean	Least		Lesser		Mid		Better		Best		Check 1		Check 2
1*2	1 Parent * 2 Parent	110.67	3.75		1.53		0.39		-0.72		-7.88	**	-2.41		-2.47
1*3	1 Parent * 3 Parent	110.20	3.31		2.54		1.82		1.10		-8.27	**	-2.82		-2.88
1*4	1 Parent * 4 Parent	109.60	2.75		2.75		1.64		0.55		-8.77	**	-3.35		-3.41
1*5	1 Parent * 5 Parent	108.20	1.44		-0.73		-2.81		-4.81	*	-9.93	**	-4.59	*	-4.64	*
1*6	1 Parent * 6 Parent	111.13	4.19	*	1.96		-0.15		-2.17		-7.49	**	-2.00		-2.06
1*7	1 Parent * 7 Parent	110.47	3.56		1.35		-3.58	*	-8.05	**	-8.05	**	-2.59		-2.64
1*8	1 Parent * 8 Parent	111.53	4.56	*	2.32		1.03		-0.24		-7.16	**	-1.65		-1.70
2*3	2 Parent * 3 Parent	111.47	4.50	*	3.72		2.04		0.42		-7.21	**	-1.70		-1.76
2*4	2 Parent * 4 Parent	112.63	5.59	**	5.59	**	3.49		1.47		-6.24	**	-0.68		-0.73
2*5	2 Parent * 5 Parent	111.07	4.13		0.06		-1.13		-2.29		-7.55	**	-2.06		-2.12
2*6	2 Parent * 6 Parent	112.13	5.13	*	1.02		-0.15		-1.29		-6.66	**	-1.12		-1.18
2*7	2 Parent * 7 Parent	109.87	3.00		-1.02		-4.93	**	-8.55	**	-8.55	**	-3.12		-3.17
2*8	2 Parent * 8 Parent	113.20	6.12	**	1.98		1.62		1.25		-5.77	**	-0.18		-0.24
3*4	3 Parent * 4 Parent	108.53	1.75		1.75		1.59		1.43		-9.66	**	-4.29	*	-4.35	*
3*5	3 Parent * 5 Parent	109.80	2.94		2.62		-0.48		-3.40		-8.60	**	-3.17		-3.23
3*6	3 Parent * 6 Parent	111.00	4.06		3.74		0.63		-2.29		-7.60	**	-2.12		-2.17
3*7	3 Parent * 7 Parent	111.67	4.69	*	4.36	*	-1.67		-7.05	**	-7.05	**	-1.53		-1.59
3*8	3 Parent * 8 Parent	108.60	1.81		1.50		-0.73		-2.86		-9.60	**	-4.23	*	-4.29	*
4*5	4 Parent * 5 Parent	114.83	7.66	**	7.32	**	4.08	*	1.03		-4.41	*	1.26		1.20
4*6	4 Parent * 6 Parent	113.47	6.38	**	6.04	**	2.87		-0.12		-5.55	**	0.06		0.00
4*7	4 Parent * 7 Parent	118.53	11.12	**	10.78	**	4.37	*	-1.33		-1.33		4.53	*	4.47	*
4*8	4 Parent * 8 Parent	114.20	7.06	**	6.73	**	4.39	*	2.15		-4.94	**	0.71		0.65
5*6	5 Parent * 6 Parent	115.20	8.00	**	1.41		1.23		1.05		-4.11	*	1.59		1.53
5*7	5 Parent * 7 Parent	115.13	7.94	**	0.99		-1.65		-4.16	*	-4.16	*	1.53		1.47
5*8	5 Parent * 8 Parent	116.20	8.94	**	3.94		2.92		1.93		-3.27		2.47		2.41
6*7	6 Parent * 7 Parent	116.87	9.56	**	2.51		-0.17		-2.72		-2.72		3.06		3.00
6*8	6 Parent * 8 Parent	112.47	5.44	*	0.60		-0.38		-1.35		-6.38	**	-0.82		-0.88
7*8	7 Parent * 8 Parent	119.80	12.31	**	7.16	**	3.36	*	-0.17		-0.28		5.64	**	5.58	**

Comparison of F1 with	S.E.Difference	CD 95%	CD 99%
Mid Parent	1.93946	3.86811	5.13548
Lesser / Better Parent	2.23949	4.46650	5.92994
Least / Best Parent	2.23949	4.46650	5.92994
Checks	2.23949	4.46650	5.92994

Hayman's Approach

**Wr Vr table**
Genotype	Wr	Vr	Wr-Vr	Wr+Vr	Yr	Fr
1 Parent	1.028	1.305	-0.277	2.333	108.800	30.965
2 Parent	-2.342	1.157	-3.498	-1.185	111.467	38.000
3 Parent	4.658	2.334	2.324	6.992	107.467	21.646
4 Parent	16.001	14.795	1.206	30.796	106.667	-25.963
5 Parent	6.071	8.636	-2.566	14.707	113.667	6.216
6 Parent	7.107	4.065	3.043	11.172	113.600	13.285
7 Parent	8.321	17.519	-9.197	25.840	120.133	-16.050
8 Parent	11.329	11.342	-0.013	22.670	111.800	-9.711
Total	52.173	61.151	-8.978	113.325	893.600	58.389
Mean	6.522	7.644	-1.122	14.166	111.700	7.299

T²	0.204	Prob	0.927
a (Intercept)	1.107	Correlation r	0.793
B (Slope)	0.708	Std.Error	0.223
T	3.183	Prob	0.019
H: b = 0	-3.183	Prob	0.019
H: b = 1	1.310	Prob	0.238
VoLo1	3.332	V1L1	7.644
WoLo1	6.522	(ML1 - ML0)²	0.425
S² (Varaince)	7.823	VoLo	18.618

Parameter	Estimation	Standard Error	T-Value
D (Additive Effect)	16.05068	2.96665	5.41038 *
F (Mean Fr over arrays)	7.29859	7.00992	1.04118
H1(Dominannce Effect)	16.04626	6.81989	2.35286*
H2	12.11126	5.93330	2.04124 *
h² (Heritabillity)	0.57747	3.97912	0.14512
E (Environ.Comp.)	2.56773	0.98888	2.59659*
Mean Degree of Dominance	1.000
: : of Genes with +/- Effects in Parents	0.189
: : of Dominant & Recessive Genes in Parents	1.589
Va (Additive Gene Effects)	6.344	( 5.909)
Vd (Dominance Deviations)	3.028	( 1.483)
h2 / H2 (No.of Gene Groups)	0.048
h² (Heritability in Narrow Sense)	0.531	( 0.726)
Estimation of Most Dominant Parent	102.460
Estimation of Most Recessive Parent	125.830

Vr Wr Graphs

**Diallel Cross Anova (Summary)**
		Plant		Days to		Peduncle		Eearhead		Eearhead
	DF	Height cm		Maturity		Volume		Nos.		Length cm
Replicates	2	13.240		14.010		0.200		0.709		2.954	***
Treatments	35	30.513	***	32.058	***	1.015	***	15.268	**	4.592	***
Parents	7	26.988	*	55.855	***	1.165	***	10.345		7.638	***
Hybrids	27	32.399	***	26.692	***	1.000	***	16.262	**	3.943	***
Parent Vs.Hybrids	1	4.245		10.367		0.374		22.906		0.774
Error	70	11.638		7.523		0.214		6.564		0.349
Total	107	17.842		15.670		0.476		9.302		1.786
GCA	7	21.936	***	33.623	***	0.988	***	11.416	***	5.622	***
SCA	28	7.230	*	4.952	*	0.176	**	3.508		0.508	***
Error	70	3.879		2.508		0.071		2.188		0.116

**General Combining Ability (Summary)**
	Plant		Days to		Peduncle		Eearhead		Eearhead
	Height cm		Maturity		Volume		Nos.		Length cm
1 Parent	-2.294	***	-2.112	***	0.218	**	-2.122	***	0.095
2 Parent	-0.030		-0.655		-0.244	**	0.675		0.405	***
3 Parent	1.376	*	-2.432	***	-0.623	***	1.492	**	-1.499	***
4 Parent	1.127		-0.538		-0.099		-0.405		-0.173
5 Parent	-0.269		0.725		0.180	*	0.305		0.796	***
6 Parent	0.778		0.895		0.367	***	0.475		-0.007
7 Parent	-2.079	***	3.208	***	0.106		0.135		-0.431	***
8 Parent	1.390	*	0.908		0.095		-0.555		0.816	***
sl² g	1.806		3.112		0.092		0.923		0.551
sl² s	3.350		2.444		0.105		1.320		0.391
sl² reciprocal	0.000		0.000		0.000		0.000		0.000
sl² e	3.879		2.508		0.071		2.188		0.116
sl² a	3.611		6.223		0.183		1.846		1.101
sl² D	3.350		2.444		0.105		1.320		0.391
sl² p	10.841		11.175		0.359		5.353		1.609
h² Narrow Sense	0.333		0.557		0.510		0.345		0.684
h² Broad Sense	0.642		0.776		0.802		0.591		0.928
GCA/SCA Ratio	0.539		1.273		0.875		0.699		1.407