Diallel (Daljeet Singh) Method II       

Source of Variations df Sum of Squares Mean Squares F Ratio Probability   h² hp² w²
Environments 2 166.816 83.408 3.820 0.025  * 0.027 0.060 0.020
Blocks within Environments 6 803.097 133.849 6.131 0.000  *** 0.132 0.235 0.098
Treatemnts 20 762.164 38.108 1.746 0.035  * 0.125 0.225 0.048
  Parents 5 76.948 15.390 0.705 0.621 0.013 0.029 -0.005
    Between Groups 1 1.513 1.513 0.069 0.793 0.000 0.001 -0.003
    Tall 2 10.858 5.429 0.249 0.780 0.002 0.004 -0.005
    Dwarf 2 64.577 32.288 1.479 0.232 0.011 0.024 0.003
  Hybrids 14 656.383 46.885 2.148 0.014  * 0.108 0.200 0.052
    Between Groups 2 204.289 102.145 4.679 0.011  * 0.034 0.072 0.026
    Tall*Tall 2 57.847 28.923 1.325 0.270 0.010 0.022 0.002
    Dwarf*Dwarf 2 57.622 28.811 1.320 0.271 0.009 0.022 0.002
    Tall*Dwarf 8 336.625 42.078 1.927 0.062 0.055 0.114 0.025
  Parents vs.Hybrids 1 28.833 28.833 1.321 0.253 0.005 0.011 0.001
    Tall Vs.    Tall*Tall 1 1.115 1.115 0.051 0.822 0.000 0.000 -0.003
    Dwarf Vs.    Dwarf*Dwarf 1 19.911 19.911 0.912 0.342 0.003 0.008 0.000
    Tall+Dwarf Vs.    Tall*Dwa 1 99.225 99.225 4.545 0.035  * 0.016 0.036 0.013
Treatment * Environments 40 1728.115 43.203 1.979 0.002  ** 0.284 0.397 0.109
  Parent * Environments 10 623.581 62.358 2.856 0.003  ** 0.103 0.192 0.060
  Hybrids * Environments 28 1021.049 36.466 1.670 0.031  * 0.168 0.280 0.058
  Parent vs.Hybrids * Env. 2 83.486 41.743 1.912 0.152 0.014 0.031 0.006
Error 120 2619.804 21.832
Total 188 6079.994 32.340
   1Env.  2Env.  3Env. Mean
Parental Mean 23.159 21.390 22.877 22.476
General Mean 22.306 22.560 24.414 23.093
F1 Cross Mean 21.965 23.028 25.028 23.340
Enivronmental Effect -0.787 -0.533 1.321
Average Heterosis % -5.159 7.656 9.402 3.847
Source of Variations df Sum of Squares Mean Squares F Ratio Probability  
GCA 5 95.245 19.049 2.618 0.028  *
  Between Groups 1 56.797 56.797 7.805 0.006  **
  Tall 2 13.123 6.561 0.902 0.409
  Dwarf 2 25.325 12.663 1.740 0.180
SCA 15 158.810 10.587 1.455 0.133
  Tall 3 10.151 3.384 0.465 0.707
  Dwarf 3 22.045 7.348 1.010 0.391
  Tall*Dwarf 8 112.208 14.026 1.927 0.062
ENVIRONMENTS 2 55.605 27.803 3.820 0.025  *
GCA*Environments 10 350.537 35.054 4.817 0.000  ***
SCA*Environments 30 225.501 7.517 1.033 0.433
Error 120 873.268 7.277    

General GCA SCA Effect Table

Genotypes   Cogg -2   ML -267 Pusa -105  RMG -275 PDM -89 - 221  LGG -460
Cogg -2 -1.210 0.002 -2.078 -0.495 0.170 4.821
ML -267 -1.491 -0.040 1.915 1.141 -0.036
Pusa -105 -0.278 0.837 1.821 0.018
RMG -275 0.844 -0.877 -3.069
PDM -89 - 221 -0.915 -0.424
LGG -460 -0.655
GCA Effects 0.079 0.959 -0.224 -1.275 -0.563 1.024
GCA Variance -1.449 -0.536 -1.405 0.171 -1.138 -0.406
SCA Variance 13.184 4.037 3.640 6.954 3.116 14.443
GCA/SCA Var.Ratio -0.110 -0.133 -0.386 0.025 -0.365 -0.028
Parental Means 22.042 23.520 22.367 21.387 21.051 24.487

ith Environment GCA SCA Effect Table

Genotypes   Cogg -2   ML -267 Pusa -105  RMG -275 PDM -89 - 221  LGG -460
Cogg -2 -0.345 2.275 -2.424 0.154 -3.842 4.527
ML -267 1.050 -1.007 -2.535 -2.018 1.185
Pusa -105 0.694 1.089 0.886 0.069
RMG -275 3.184 -0.439 -4.636
PDM -89 - 221 1.909 1.595
LGG -460 -1.370
GCA Effects 0.080 0.226 -1.325 0.493 1.479 -0.953
GCA Variance 0.006 0.051 1.755 0.244 2.188 0.909
SCA Variance 6.653 2.899 1.404 7.085 4.234 7.099
GCA/SCA Var.Ratio 0.001 0.018 1.250 0.034 0.517 0.128
Parental Means 22.120 23.807 20.350 26.477 27.173 19.030
Comparisons S.E./S.E.Mean C.D. 95 C.D. 99   Comparisons S.E./S.E.Mean C.D. 95 C.D. 99
U 0.340 SL.iik 1.612

Gi 0.503 SL.ijk 1.952
Gi -- Gj 0.779 1.542 2.038 SL.iik -- SL.jjk 2.203 4.361 5.765
Sii 1.140 SL.iik -- SL.ijk 2.914 5.769 7.627
Sij 1.381 SL.iim -- SL.jkm 2.463 4.876 6.446
Sij -- Sjj 1.557 3.084 4.077 SL.ijm -- SL.jkm 2.914 5.769 7.627
Sij -- Sik 2.060 4.079 5.393 SL.ijm -- SL.knm 2.698 5.341 7.061
Sij -- Skm 1.908 3.777 4.993 SL.iik -- SL.iim 2.792 5.529 7.309
Sii -- Sij 2.060 4.079 5.393 SL.iik -- SL.ijm 3.382 6.695 8.851
Sii -- Sjk 1.741 3.448 4.558 SL.iik -- SL.jjm 0.589 1.166 1.541
gl.ik 0.711 SL.iim -- SL.jjn 1.472 2.914 3.852
gl.ik -- gl.jk 1.101 2.181 2.883 SL.iim -- SL.jkn 1.790 3.545 4.686
gl.ik -- gl.im 1.231 2.438 3.223 SL.ijm -- SL.ikn 1.838 3.639 4.811
gl.ik -- gl.jm 0.636 1.259 1.664 SL.ijm -- SL.knr 1.996 3.953 5.225
Y Variable        Regression Equation Std.Error T-Test Probability R²
Hybrid = -0.6758     +1.1078x  Lesser Parent 0.8379 1.3221 0.209 0.119
Hybrid = -9.312     +1.4528x  Mid    Parent 0.7029 2.067 0.059 0.247
Hybrid = -0.4566     +1.0225x  Better Parent 0.5063 2.0198 0.065 0.239
GCA = -13.7805     +0.6131x  Parent 0.1485 4.1286 0.015 0.81

Heterosis & GCA graphs

Grain Yield/Plant gm    s ² Testing for Random Effects   
Genetic Components Fixed Effect Random Effect   s ² Compo. df1 Numerator df2 Denominator F-Ratio  Probability
s² G 0.49049 -0.7948 s² G 5 19.049 11 38.12433 0.4997 0.7707
s² S 1.10336 1.0235 s² S 15 10.587 30 7.5167 1.4085 0.2059
s² L 1.36836 -0.4712 s² l 2 27.803 27 41.93797 0.6629 0.5235
s gl 3.47206 3.4421 s² gl 10 35.054 30 7.5167 4.6634 0.0005
s²  SL 0.23947 0.2395 ss² SL 30 7.517 120 7.27723 1.0329 0.4325
s² e 7.27723 7.2772
s² a 0.98098 -1.5896
s² D 1.10336 1.0235
s² P 13.0731 10.3928
h² Narrow Sense 0.07504 -0.1530

 
Ratio gca/sca 0.44454 -0.7765