Diallel Analysis

GCA/SCA Table

Std.Errors

Hayman's

Vr Wr Graphs

 

Anova for Days to Maturity

Source of Variations df Sum of Squares Mean Squares F Ratio Probability   h² h w²
Replicates 2 115.310 57.655 6.331 0.002  ** 0.022 0.076 0.018
Treatments 77 3762.577 48.865 5.366 0.000  *** 0.713 0.728 0.339
Parents 11 922.483 83.862 9.209 0.000  *** 0.175 0.397 0.133
Hybrids 65 2829.548 43.532 4.780 0.000  *** 0.536 0.669 0.276
Parent Vs.Hybrids 1 10.546 10.546 1.158 0.284 0.002 0.007 0.000
Error 154 1402.436 9.107
Total 233 5280.324 22.662            

Anova for GCA/SCA Effects

Source of Variations df Sum of Squares Mean Squares F Ratio Probability  
GCA 11 863.120 78.465 25.849 0.0000  ***
SCA 66 391.072 5.925 1.952 0.0004  ***
Error 154 467.479 3.036      
Parental µ 113.95 VoLo 27.954
General µ 113.452
F1 µ 113.361
Av.Heterosis % -0.516

GCA SCA Table

Parents Coog-2 ML267 Pusa -105 Rmg275 PDM-89" Lgg460 Lgg410 Coog22 L-26-7 105 / A Rmg2753 Pdm-89
COGG-2 2.207 2.361 3.721 0.911 -1.479 0.007 -2.312 1.438 -1.377 -3.765 -2.52 -1.398
ML-267 1.449 3.276 2.233 -0.324 -0.705 -4.624 1.392 0.578 -3.01 -3.298 -0.777
PUSA-105 1.102 -0.041 0.235 -0.012 -0.998 -1.381 -1.062 -2.917 -2.139 -0.884
RMG-275& -4.117 3.059 0.245 3.659 2.009 -3.072 -0.193 0.318 -0.893
PDM-89-221 0.902 0.988 -0.731 3.018 0.104 0.749 -3.405 -4.017
LGG-460 -2.06 -0.446 -2.162 1.157 2.302 3.88 -1.131
LGG-410 1.169 3.519 -2.229 -0.551 -0.439 2.816
COGG-22 -1.798 -0.012 -5.201 1.145 -0.167
ML-26- 3.173 3.119 -1.903 -1.648
PUSA-105/A 2.597 2.242 2.03
RMG-2753 0.688 4.742
PDM-89 0.664
GCA Effects -3.429 -1.717 -3.544 -1.334 -0.344 1.104 2.756 0.073 -0.513 4.009 2.697 0.242
Parental Means 108.8 111.467 107.467 106.667 113.667 113.6 120.133 111.8 115.6 124.067 119.533 114.6

Standard Errors

Genetic Componenets Fixed Effect Random Effect  
s² g 5.388 5.181
s² s 2.890 2.890
s² reciprocal 0.000 0.000
s² e 3.036 3.036
s² a 10.776 10.363
s² D 2.890 2.890
s² p 16.701 16.288
h² Narrow Sense 0.645 0.636
h² Broad Sense 0.818 0.814
GCA/SCA Ratio 1.864 1.793
Comparison S. E. Mean Critical Diff.  
Mu 0.197
Gi 0.446 0.881
Sii 1.484 2.931
Sij 1.623 3.207
Gi--Gj 0.659 1.301
Sii--Sjj 2.082 4.114
Sij--Sik 2.374 4.690
Sij--Skl 2.281 4.506

Hayman's Approach

Genotype Wr Vr Wr-Vr Wr+Vr Yr Fr
COGG-2  0.531 1.250 -0.719 1.781 108.800 46.956
ML-267  -0.617 0.892 -1.509 0.274 111.467 49.969
PUSA-105 4.086 1.879 2.207 5.965 107.467 38.588
RMG-275 14.334 12.670 1.665 27.004 106.667 -3.491
PDM-89-221 7.752 8.911 -1.159 16.663 113.667 17.192
LGG-460 15.873 11.490 4.384 27.363 113.600 -4.209
LGG-410 10.864 14.812 -3.947 25.676 120.133 -0.834
COGG-22 8.071 8.691 -0.620 16.762 111.800 16.994
ML-26-7 15.632 11.829 3.803 27.462 115.600 -4.406
PUSA-105/ 20.485 21.866 -1.381 42.352 124.067 -34.186
RMG-2753 16.341 20.072 -3.731 36.413 119.533 -22.308
PDM-89 19.232 18.312 0.919 37.544 114.600 -24.570
Total 132.585 132.672 -0.087 265.257 1367.400 75.696
Mean 11.049 11.056 -0.007 22.105 113.950 6.308
0.004 Prob 1.000
a (Intercept) 0.840 Correlation r 0.930
B (Slope) 0.923 Std.Error 0.115
T 8.005 Prob 0.000
H: b = 0 -8.005 Prob 0.000
H: b = 1 0.665 Prob 0.521
VoLo1 5.593 V1L1 11.056
WoLo1 11.049 (ML1 - ML0)² 0.291
s²(Varaince) 3.550 VoLo 27.954
Parameter Estimation Standard Error T-Value  
D (Additive Effect) 24.711 1.961 12.601  *
F (Mean Fr over arrays) 6.308 4.445 1.419
H1(Dominannce Effect) 18.794 3.923 4.791  *
H2 15.366 3.263 4.709  *
h² (Heritabillity) 0.173 2.182 0.079
E (Environ.Comp.) 3.243 0.544 5.963  *
Mean Degree of Dominance 0.872
: : of Genes with +/- Effects in Parents 0.204
: : of Dominant & Recessive Genes in Parents 1.343
Va  (Additive Gene Effects) 10.916 (   3.523)
Vd  (Dominance Deviations) 3.842 (   0.816)
h2 / H2 (No.of Gene Groups) 0.011
h² (Heritability in Narrow Sense) 0.606 (   0.113)
Estimation of Most Dominant Parent 93.547
Estimation of Most Recessive Parent 145.142      

Vr-Wr Graph