AMMI Stability Model   

[LSD Comparisons]    [Half Normal Plot]    [Bi-Plot 1]    [Bi Plot 2]

Source of Variations df Sum of Squares Mean Squares F Ratio Probability  
Trials 77 27.664 0.359 1.466 0.181
  Genotypes 12 3.143 0.262 1.069 0.437
  Environments 5 9.815 1.963 8.009 0.000  ***
  G*E Interaction 60 14.706 0.245
    PCA I 16 6.930 0.433 3.940 0.003  **
    PCA II 14 3.277 0.234 2.129 0.066  
    PCA III 12 2.521 0.210 1.911 0.104
    Residual 18 1.979 0.110 1.000 0.500
Comparison S.E.D. CD 5% CD 1%
Genotype Gi - Gj 0.194 0.408 0.559
Enviornment Ei - Ej 0.286 0.601 0.823

Fitting of Residual Sum of squares to check model validity

Genotype Env 1 Env 2 Env 3 Env 4 Env 5 Env 6 Var. µ Var Index PCA I PCA II PCA III  G*E ResSS
Cogg -2*LGG -460 3.067 2.353 2.637 3.673 3.837 4.723 3.382 0.126 -0.520 0.579 0.505 0.036
Cogg -2*LGG -410 3.617 2.563 2.183 2.857 3.800 3.283 3.051 -0.205 -0.463 -0.014 -0.597 0.103
Cogg -2*Cogg - 32 3.620 2.750 3.027 2.947 3.197 3.697 3.206 -0.049 -0.017 -0.032 -0.094 0.542
Cogg -2*ML -332 - 3.547 2.807 3.613 3.463 3.587 2.863 3.313 0.058 0.419 -0.068 -0.521 0.055
Cogg -2*Pusa -405 3.177 2.830 2.473 3.710 4.090 4.350 3.438 0.183 -0.618 0.347 0.147 0.028
Cogg -2*RMG -327 3.470 3.037 2.043 4.273 3.603 3.477 3.317 0.062 -0.538 -0.464 0.019 0.426
Cogg -2*PDM -489 3.467 2.780 2.383 3.750 2.830 3.540 3.125 -0.130 -0.210 -0.486 0.277 0.001
ML -267*LGG -460 3.520 2.463 2.720 3.393 3.517 3.653 3.211 -0.044 -0.183 0.046 -0.086 0.058
ML -267*LGG -410 3.453 3.167 3.120 3.920 3.067 3.633 3.393 0.138 0.066 -0.354 0.240 0.132
ML -267*Cogg - 32 3.457 2.400 4.237 4.023 2.510 3.740 3.394 0.139 0.820 -0.080 0.643 0.059
ML -267*ML -332 - 3.417 1.770 2.790 3.197 2.947 2.673 2.799 -0.456 0.270 -0.130 -0.287 0.258
ML -267*Pusa -405 3.257 2.323 3.360 3.747 2.980 2.803 3.078 -0.177 0.491 -0.185 -0.072 0.095
ML -267*RMG -327 2.987 2.460 4.313 3.850 4.347 3.703 3.610 0.355 0.483 0.844 -0.174 0.185
Env. Mean 3.389 2.593 2.992 3.600 3.408 3.549 If the residual sum of squares as per fitted model is not matching with the residual sum of squares of Anova, then the model is not multiplicative
Env. Index 0.133 -0.663 -0.263 0.345 0.153 0.294
PCA ScoresI -0.018 -0.282 1.364 0.099 -0.539 -0.625
PCA ScoresII -0.670 -0.567 0.407 -0.369 0.699 0.501
PCA ScoresIII -0.392 -0.105 -0.005 0.484 -0.761 0.780
G*E Res.SS 0.470 0.360 0.034 0.768 0.120 0.227 1.979

Fitted Means as per AMMI Model     

Genotype Env 1 Env 2 Env 3 Env 4 Env 5 Env 6 Adj Mean
Cogg -2*LGG -460 2.939 2.484 2.642 3.706 3.836 4.684 3.382
Cogg -2*LGG -410 3.436 2.589 2.153 3.066 3.898 3.160 3.051
Cogg -2*Cogg - 32 3.398 2.576 2.908 3.516 3.417 3.421 3.206
Cogg -2*ML -332 - 3.690 2.626 3.597 3.473 3.590 2.904 3.313
Cogg -2*Pusa -405 3.293 2.738 2.472 3.665 4.056 4.407 3.438
Cogg -2*RMG -327 3.764 3.067 2.132 3.790 3.422 3.729 3.317
Cogg -2*PDM -489 3.479 2.768 2.376 3.763 2.841 3.523 3.125
ML -267*LGG -460 3.351 2.583 2.718 3.480 3.560 3.575 3.211
ML -267*LGG -410 3.669 2.888 3.075 3.992 3.081 3.656 3.393
ML -267*Cogg - 32 3.314 2.478 4.214 4.161 2.560 3.638 3.394
ML -267*ML -332 - 3.127 2.164 2.853 3.080 2.934 2.635 2.799
ML -267*Pusa -405 3.355 2.390 3.410 3.505 2.893 2.917 3.078
ML -267*RMG -327 3.238 2.351 4.350 3.607 4.225 3.889 3.610
Adj Mean 3.389 2.593 2.992 3.600 3.408 3.549  

Standardised Residuals as per AMMI Model        

Genotype Env 1 Env 2 Env 3 Env 4 Env 5 Env 6
Cogg -2*LGG -460 0.799 -0.815 -0.034 -0.201 0.006 0.244
Cogg -2*LGG -410 1.126 -0.161 0.186 -1.307 -0.611 0.767
Cogg -2*Cogg - 32 1.382 1.083 0.743 -3.552 -1.375 1.719
Cogg -2*ML -332 - -0.892 1.125 0.101 -0.060 -0.019 -0.255
Cogg -2*Pusa -405 -0.724 0.577 0.008 0.280 0.215 -0.356
Cogg -2*RMG -327 -1.834 -0.192 -0.551 3.018 1.134 -1.575
Cogg -2*PDM -489 -0.077 0.074 0.046 -0.080 -0.067 0.104
ML -267*LGG -460 1.055 -0.747 0.014 -0.539 -0.270 0.487
ML -267*LGG -410 -1.343 1.741 0.278 -0.446 -0.089 -0.141
ML -267*Cogg - 32 0.887 -0.490 0.141 -0.861 -0.311 0.634
ML -267*ML -332 - 1.804 -2.459 -0.394 0.728 0.081 0.241
ML -267*Pusa -405 -0.613 -0.415 -0.311 1.505 0.546 -0.711
ML -267*RMG -327 -1.569 0.678 -0.227 1.515 0.759 -1.156