Double Cross (Quadiallel)
Analysis
Anova for Test Data
| Source of Variation | df | Sum of Squares | Mean Squares | F ratio | Probability | ||
| Replications | 3 | 262.82 | 87.61 | R | 1.24 | 0.30 | |
| HYBRIDS | 44 | 43168.70 | 981.11 | H | 13.83 | 0.00 | *** |
| 1 - LINE General | 5 | 8758.43 | 1751.69 | G | 24.70 | 0.00 | *** |
| 2 - LINE Specific | 9 | 4117.47 | 457.50 | S2 | 6.45 | 0.00 | *** |
| 3 - LINE Specific | 5 | 0.00 | 0.00 | S3 | 0.00 | 1.00 | |
| 4 - LINE Specific | -5 | 0.00 | 0.00 | S4 | 0.00 | 1.00 | |
| 2 - LINE Arrangement | 9 | 9711.50 | 1079.06 | T2 | 15.21 | 0.00 | *** |
| 3 - LINE Arrangement | 16 | 17399.79 | 1087.49 | T3 | 15.33 | 0.00 | *** |
| 4 - LINE Arrangement | 5 | 3181.51 | 636.30 | T4 | 8.97 | 0.00 | *** |
| ERROR | 132 | 9361.92 | 70.92 | E | |||
| TOTAL | 44 | 52793.44 | |||||
| Estimates of | F - Tests of Hypothesis that various | Estimates of genetic | ||||||
| Components of variances | Components of variances are zero | Components of variances | ||||||
| F Ratio | v1 | v2 | F Prob. | |||||
| s² t4 | 141.345 | s² g = 0 | 0.425 | 5 | 9 | 0.820 | F Inbreeding Coefficient | 1.0 |
| s² t3 | 37.599 | s² s2 = 0 | 0.000 | 9 | -5 | 1.000 | s² 10 Additive | -517.2 |
| s² t2 | -28.515 | s² s3 = 0 | 0.000 | 5 | -5 | 1.000 | s² 01 Dominance | -34.2 |
| s ² s4 | -5.910 | s² s4 = 0 | 0.000 | -5 | 132 | 1.000 | s² 20 Add.* Add | 661.8 |
| s² s3 | 0.000 | s² t2 = 0 | 0.738 | 14 | 16 | 0.713 | s² 11 Add.* Dom. | -3855.2 |
| s² s2 | 38.125 | s² t3 = 0 | 1.709 | 16 | 5 | 0.289 | s² 02 Dom.* Dom | 8667.8 |
| s² g | -49.29 | s² t4 = 0 | 8.972 | 5 | 132 | 0.000 | s² 30 Add.* Add.* Add. | 7710.3 |
| K(Average) | 67.7 | |||||||
Average Line effect Gi
| AppearTogether | Mean | Effect | AppearTogether | Mean | Effect | AppearTogether | Mean | Effect |
| 1... | 94.29 | 4.58 | 3... | 88.97 | -0.73 | 5... | 89.64 | -0.07 |
| 2... | 87.10 | -2.61 | 4... | 88.83 | -0.88 | 6... | 89.41 | -0.30 |
2 Line interactions for Sij..
| AppearTogether | Mean | Effect | AppearTogether | Mean | Effect | AppearTogether | Mean | Effect |
| 12.. | 90.928 | -0.755 | 23.. | 85.906 | -0.460 | 35.. | 88.266 | -0.637 |
| 13.. | 94.408 | 0.853 | 24.. | 84.182 | -2.041 | 36.. | 88.109 | -0.565 |
| 14.. | 94.696 | 1.283 | 25.. | 87.932 | 0.901 | 45.. | 88.831 | 0.071 |
| 15.. | 95.228 | 1.009 | 26.. | 86.552 | -0.250 | 46.. | 88.266 | -0.265 |
| 16.. | 96.184 | 2.194 | 34.. | 88.172 | 0.076 | 56.. | 87.926 | -1.412 |
3 Line interactions for Sijk.
| AppearTogether | Mean | Effect | AppearTogether | Mean | Effect | AppearTogether | Mean | Effect |
| 123 | 89.809 | -0.7776 | 145 | 96.856 | 1.1501 | 246 | 82.072 | -1.2964 |
| 124 | 87.413 | -1.8804 | 146 | 98.402 | 2.0758 | 256 | 86.201 | 0.2299 |
| 125 | 93.287 | 0.5184 | 156 | 96.096 | 0.3849 | 345 | 87.605 | 0.0691 |
| 126 | 93.202 | 0.6288 | 234 | 82.044 | -1.0203 | 346 | 86.926 | -0.1177 |
| 134 | 96.112 | 1.2211 | 235 | 87.041 | 0.9397 | 356 | 83.743 | -2.2474 |
| 135 | 94.674 | -0.0362 | 236 | 84.731 | -0.0624 | 456 | 85.662 | -1.1923 |
| 136 | 97.038 | 1.2984 | 245 | 85.199 | 0.1146 |
4 Line interactions for Sijkl
| AppearTogether | Mean | Effect | AppearTogether | Mean | Effect | AppearTogether | Mean | Effect |
| 1234 | 82.702 | -3.8697 | 1256 | 96.602 | 1.8382 | 2345 | 85.73 | 2.297 |
| 1235 | 92.813 | 0.379 | 1345 | 99.822 | 2.154 | 2346 | 77.702 | -1.4882 |
| 1236 | 93.913 | 1.158 | 1346 | 105.81 | 5.3788 | 2356 | 82.578 | 0.143 |
| 1245 | 90.445 | -0.662 | 1356 | 91.387 | -2.6417 | 2456 | 79.423 | -1.2913 |
| 1246 | 89.092 | -1.1097 | 1456 | 100.3 | 1.9582 | 3456 | 77.263 | -4.2437 |
2 Line interactions for t(ij)(..)
| Arrangement | Mean | Effect | Arrangement | Mean | Effect | Arrangement | Mean | Effect |
| (12)(..) | 88.494 | -2.4336 | (23)(..) | 82.018 | -3.8881 | (35)(..) | 98.431 | 10.165 |
| (13)(..) | 89.585 | -4.8233 | (24)(..) | 91.123 | 6.9403 | (36)(..) | 86.317 | -1.7928 |
| (14)(..) | 100.08 | 5.3844 | (25)(..) | 83.613 | -4.3194 | (45)(..) | 76.489 | -12.341 |
| (15)(..) | 100.21 | 4.9769 | (26)(..) | 90.253 | 3.7008 | (46)(..) | 87.943 | -0.3222 |
| (16)(..) | 93.08 | -3.1044 | (34)(..) | 88.511 | 0.3389 | (56)(..) | 89.444 | 1.5186 |
2 Line interactions for t(i.)(j.)
| Arrangement | Mean | Effect | Arrangement | Mean | Effect | Arrangement | Mean | Effect |
| (1.)(2.) | 92.145 | 1.2168 | (2.)(3.) | 87.85 | 1.944 | (3.)(5.) | 83.183 | -5.0826 |
| (1.)(3.) | 96.82 | 2.4117 | (2.)(4.) | 80.712 | -3.4701 | (3.)(6.) | 89.006 | 0.8964 |
| (1.)(4.) | 92.003 | -2.6922 | (2.)(5.) | 90.092 | 2.1597 | (4.)(5.) | 95.001 | 6.1707 |
| (1.)(5.) | 92.74 | -2.4885 | (2.)(6.) | 84.701 | -1.8504 | (4.)(6.) | 88.427 | 0.1611 |
| (1.)(6.) | 97.737 | 1.5522 | (3.)(4.) | 88.003 | -0.1694 | (5.)(6.) | 87.166 | -0.7593 |
3 Line interactions for t(ij)(k.)
| Arrangement | Mean | Effect | Arrangement | Mean | Effect | Arrangement | Mean | Effect |
| (12)(3.) | 89.535 | -2.1965 | (23)(1.) | 90.018 | 0.4685 | (35)(1.) | 106.45 | 1.686 |
| (12)(4.) | 92.577 | 13.76 | (23)(4.) | 67.837 | -6.6801 | (35)(2.) | 92.608 | -8.7013 |
| (12)(5.) | 85.768 | -4.756 | (23)(5.) | 88.238 | 8.0088 | (35)(4.) | 108.47 | 4.7001 |
| (12)(6.) | 86.097 | -4.3738 | (23)(6.) | 81.98 | 2.091 | (35)(6.) | 86.195 | -7.8501 |
| (13)(2.) | 89.875 | 1.7281 | (24)(1.) | 81.667 | -11.211 | (36)(1.) | 90.36 | -8.8489 |
| (13)(4.) | 82.958 | -5.4689 | (24)(3.) | 93.357 | 2.5974 | (36)(2.) | 83.978 | 0.9464 |
| (13)(5.) | 86.032 | 3.7522 | (24)(5.) | 103.7 | 3.2282 | (36)(4.) | 92.743 | 7.6183 |
| (13)(6.) | 99.475 | 4.8119 | (24)(6.) | 85.768 | -1.5549 | (36)(5.) | 78.185 | 2.0769 |
| (14)(2.) | 87.995 | -2.5489 | (25)(1.) | 88.005 | 0.3094 | (45)(1.) | 85.35 | 6.0165 |
| (14)(3.) | 104.93 | 1.1861 | (25)(3.) | 80.275 | 0.6925 | (45)(2.) | 70.69 | -0.8576 |
| (14)(5.) | 103.69 | -2.2372 | (25)(4.) | 81.21 | -2.3706 | (45)(3.) | 74.067 | 4.0551 |
| (14)(6.) | 103.72 | -1.7844 | (25)(6.) | 84.96 | 5.6881 | (45)(6.) | 75.85 | 3.1274 |
| (15)(2.) | 106.09 | 4.4465 | (26)(1.) | 108.89 | 9.2163 | (46)(1.) | 100.54 | 3.6039 |
| (15)(3.) | 91.542 | -5.4382 | (26)(3.) | 88.235 | -3.0374 | (46)(2.) | 79.223 | 2.7939 |
| (15)(4.) | 101.53 | -3.7793 | (26)(4.) | 81.225 | -1.239 | (46)(3.) | 79.662 | -7.6692 |
| (15)(6.) | 101.66 | -0.206 | (26)(5.) | 82.662 | -8.6407 | (46)(5.) | 92.345 | 1.5936 |
| (16)(2.) | 84.622 | -4.8425 | (34)(1.) | 100.45 | 4.2828 | (56)(1.) | 91.155 | -5.5235 |
| (16)(3.) | 101.28 | 4.0369 | (34)(2.) | 84.94 | 4.0828 | (56)(2.) | 90.982 | 2.9526 |
| (16)(4.) | 90.947 | -1.8194 | (34)(5.) | 80.277 | -8.7553 | (56)(3.) | 86.848 | 5.7732 |
| (16)(5.) | 95.473 | 5.7294 | (34)(6.) | 88.373 | 0.0508 | (56)(4.) | 88.792 | -4.721 |
4 Line interactions for t(ij)(kl)
| Arrangement | Mean | Effect | Arrangement | Mean | Effect | Arrangement | Mean | Effect |
| (12)(34) | 96.590 | -2.139 | (14)(35) | 133.835 | 7.204 | (23)(45) | 64.255 | -3.209 |
| (12)(35) | 86.540 | -4.064 | (14)(36) | 104.730 | -6.802 | (23)(46) | 63.045 | 3.612 |
| (12)(36) | 85.475 | 6.203 | (14)(56) | 97.930 | -0.403 | (23)(56) | 94.755 | -0.403 |
| (12)(45) | 89.545 | 6.203 | (15)(23) | 105.705 | 3.612 | (24)(35) | 111.625 | -3.140 |
| (12)(46) | 91.595 | -4.064 | (15)(24) | 102.500 | 0.598 | (24)(36) | 93.140 | 0.598 |
| (12)(56) | 81.220 | -2.139 | (15)(26) | 110.055 | -4.210 | (24)(56) | 96.970 | 2.542 |
| (13)(24) | 75.305 | 2.542 | (15)(34) | 88.045 | -4.210 | (25)(34) | 81.310 | 6.349 |
| (13)(25) | 86.195 | 0.453 | (15)(36) | 80.875 | 0.598 | (25)(36) | 73.320 | -6.802 |
| (13)(26) | 108.125 | -2.994 | (15)(46) | 114.050 | 3.612 | (25)(46) | 83.030 | 0.453 |
| (13)(45) | 77.585 | -2.994 | (16)(23) | 88.140 | -3.209 | (26)(34) | 76.920 | -4.210 |
| (13)(46) | 95.985 | 0.453 | (16)(24) | 67.195 | -3.140 | (26)(35) | 79.660 | 7.204 |
| (13)(56) | 94.315 | 2.542 | (16)(25) | 98.530 | 6.349 | (26)(45) | 58.270 | -2.994 |
| (14)(23) | 76.210 | -0.403 | (16)(34) | 116.725 | 6.349 | (34)(56) | 71.475 | -2.139 |
| (14)(25) | 79.290 | -6.802 | (16)(35) | 98.970 | -3.140 | (35)(46) | 79.955 | -4.064 |
| (14)(26) | 108.485 | 7.204 | (16)(45) | 88.920 | -3.209 | (36)(45) | 80.360 | 6.203 |