Triallel Analysis       

Anova for Plant Height

Source of Variations df Sum of Squares Mean Squares F Ratio Probability  
Replications 3 219.763 73.254 1.70 0.169
Gi  unadjusted Hi 5 5702.106 1140.421 26.48 0.000  ***
Gi  adjusted Hi 5 4695.945 939.189 21.81 0.000  ***
Hi  adjusted Gi 5 7716.467 1543.293 35.84 0.000  ***
Dij unadjusted Sij 9 3928.277 436.475 10.14 0.000  ***
Dij  adjusted Sij 9 4167.040 463.004 10.75 0.000  ***
Sij  adjusted Dij 19 21293.533 1120.712 26.03 0.000  ***
Tijk 21 17491.310 832.920 19.34 0.000  ***
Crosses 59 56131.693 951.385 22.09 0.000  ***
Error 177 7621.806 43.061
Total 239 63973.263 267.671      
Comparison s.E.D. C.D. 95%        
 1 Hi 0.7893
 2 Gi 0.9984
 3 Dij 1.392
 4 sij 1.2218
 5 Tijk 1.9411 Intermediate Components Value Taken as
 6 Hi - Hj 1.2228 2.4131 s ² e 43.0611 43.0611
 7 Gi - Gj 1.5467 3.0523 s ² T 235.5386 235.5386
 8 Hi - Gi 1.059 2.0898 s ² TT 133.259 133.259
 9 Dij - Dik 2.201 4.3436  s ² D -65.8176 0
10 Dij - Dkl 1.7971 3.5465 s ² Ds -63.3191 0
11 sij - sjk 2.1874 4.3167 s ² s 2.5039 2.5039
12 sik - sik 2.494 4.9218s s ² ss -55.7166 0
13 sij - ski 2.1598 4.2624 s ² gh -25.8174 0
14 sij - skl 2.132 4.2074 s ² g -1.4822 0
15 Dij - (sij - sji) / 2 1.392 2.7471 s ² h 58.6437 58.6437
16 Dij - sij 1.7971 3.5465 Estimation of Genetic Variances F = 1 F = 2
17 Tijk - Tikj 2.9347 5.7914 s ² a 115.7374 57.8687
18 Data Tijk - Tlkj 3.1698 6.2554 s² D -1534.6692 -383.6673
19 Tijk - Tilm 2.5415 5.0155 s² AA -214.9408 -53.7352
20 Tijk - Tlmk 2.2414 4.4233 s² AD 5712.4239 714.053
21 Tijk - Tlmn 3.0545 6.0279 s² DD 449.5258 28.0954
  Mean Dij Var Tij.   Mean sij Var Ti.j   Mean sji Var Tj.i
Y12. 81.01 -2.59 43.60 Y1.2 88.13 -2.29 139.48 Y2.1 83.12 -1.11 174.48
Y13. 89.61 3.21 66.27 Y1.3 93.31 3.55 15.35 Y3.1 92.00 5.70 116.05
Y14. 84.03 0.76 50.04 Y1.4 86.07 -3.95 49.35 Y4.1 83.78 1.08 188.83
Y15. 100.75 3.80 43.11 Y1.5 76.93 -1.24 37.75 Y5.1 87.40 -4.22 25.70
Y16. 85.92 -5.18 77.87 Y1.6 96.87 3.94 38.96 Y6.1 91.37 -1.45 107.73
Y23. 84.25 -4.68 26.45 Y2.3 93.10 2.04 61.19 Y3.2 84.76 -13.04 116.38
Y24. 87.95 8.41 135.90 Y2.4 83.90 -2.90 92.74 Y4.2 89.55 4.88 123.83
Y25. 92.29 -1.77 30.17 Y2.5 81.03 3.76 114.24 Y5.2 90.99 -7.73 17.51
Y26. 85.72 0.63 243.27 Y2.6 90.07 -1.79 36.75 Y6.2 109.48 18.18 78.14
Y34. 82.37 1.84 306.40 Y3.4 104.16 14.97 39.30 Y4.3 94.94 6.86 107.01
Y35. 98.94 1.11 36.75 Y3.5 89.57 9.15 108.92 Y5.3 95.05 -4.36 141.95
Y36. 99.90 -1.47 98.05 Y3.6 84.57 -16.78 153.27 Y6.3 92.56 -8.09 102.78
Y45. 85.58 -10.08 115.15 Y4.5 74.10 -8.05 62.56 Y5.4 96.57 -3.10 27.57
Y46. 90.51 -0.93 27.07 Y4.6 88.07 -4.78 152.31 Y6.4 92.50 -5.02 74.54
Y56. 105.03 6.95 82.15 Y5.6 112.59 19.41 94.60 Y6.5 81.17 -3.62 165.23
  Mean Var Ti..   Mean Var T..i Var Di. Var si. Var s.i GCA Hi Var Hi GCA Gi Var Gi
Y1.. 88.26 70.22 Y..1 87.53 153.20 12.28 -6.04 -4.98 -3.53 11.82 -4.13 16.09
Y2.. 86.24 119.85 Y..2 92.58 118.83 23.32 -10.87 128.71 -4.93 23.67 0.35 -0.87
Y3.. 91.01 133.48 Y..3 93.80 107.07 7.32 179.31 18.42 2.03 3.51 4.35 17.93
Y4.. 86.09 158.64 Y..4 92.64 70.87 41.88 21.27 52.07 -5.13 25.67 0.33 -0.89
Y5.. 96.52 76.83 Y..5 80.56 122.18 39.74 102.10 25.68 6.00 35.40 -7.30 52.28
Y6.. 93.42 132.10 Y..6 94.43 118.97 17.20 90.43 156.30 5.55 30.17 6.40 39.92
  Mean Tijk.   Mean Tijk.   Mean Tijk.   Mean Tijk.
Y123 89.42 0.27 Y156 135.05 8.776 Y254 80.21 -3.683 Y362 105.63 3.766
Y124 80.34 7.648 Y162 89.71 -13.64 Y256 122.085 8.509 Y364 106.22 -0.44
Y125 65.185 -9.249 Y163 90.835 3.923 Y261 70.065 -14.75 Y365 80.91 -13.69
Y126 89.085 1.331 Y164 83.165 4.702 Y263 101.115 11.305 Y451 66.835 -6.95
Y132 86.81 9.813 Y165 79.95 5.015 Y264 71.61 -12.31 Y452 78.49 -0.061
Y134 95.375 -7.944 Y231 80.56 -2.569 Y265 100.1 15.752 Y453 103.4 15.498
Y135 96.78 4.201 Y234 103.43 8.346 Y341 77.285 -14.36 Y456 93.595 -8.487
Y136 79.455 -6.069 Y235 86.265 -2.028 Y342 65.415 -15.78 Y461 88.82 3.578
Y142 95.705 10.394 Y236 66.755 -3.749 Y345 94.32 11.518 Y462 118.61 5.443
Y143 90.735 -6.39 Y241 102.18 17.729 Y346 92.455 18.616 Y463 90.93 -1.945
Y145 65.805 0.033 Y243 94.705 -7.163 Y351 103.31 6.563 Y465 63.7 -7.076
Y146 83.88 -4.038 Y245 72.555 -4.475 Y352 81.175 2.198 Y561 99.755 0.802
Y152 80.295 -6.568 Y246 82.35 -6.091 Y354 111.64 0.038 Y562 123.99 4.431
Y153 102.26 2.197 Y251 79.685 -0.415 Y356 99.63 -8.798 Y563 87.37 -13.283
Y154 85.405 -4.405 Y253 87.175 -4.411 Y361 106.845 10.364 Y564 109.02 8.05