Computer and Biometric Services Unit International Center for Agricultural Research in the Dry Areas (ICARDA) P.O. Box 5466, Aleppo, Syria Online BioComputing Service ......... Date : 7 / 7 / 2004 Time : 9 hr 41 min Summary of the analysis of multi-site trials using data on means ........................................................................................................... This includes inter-site transferability statistics, slopes, means, significance of intersite transferabiliy under heterogeneous error structure and two ways of computing environmental index based on all the entries, and excluding the entry under evaluation. REFERENCE: Singh, M., Yau, S.K.,Hamblin, J. and Porceddu, E. (1996) Inter-site transferability of crop varieties:another approach for analysing multi-locational variety trials. Euphytica 89:305-311 ********** Notations ************************************ GenoLev = Genotypes GenoMean = Genotype means SiteLev = Sites SiteMean = Site means SeM = Average standard error of genotypes means at that site Slope = estimate of slope parameters as adaptability/stability DevMs = estimate of deviation parameter as stability PStat = P-statistic for the inter-site transferability ChiSq = Chi-square variate derived from the PStat PrChi = level of significance (low value, e.g. <0.05, implies that the genotype is non-transferable at 5%) R2bar% = percent variance accounted for by the linear regression Trials parameters ................................................... No. of Sites = 10 No. of genotypes = 15 No. of obvervations from all the sites = 150 Variables analyzed : MnGYield, MnBYield .................................................................................... Variable = MnGYield SiteLev SiteMean SeM 1 1409 143.0 2 6069 394.0 3 5417 451.0 4 5324 757.0 5 4086 477.0 6 1264 345.0 7 2821 221.0 8 415 49.0 9 5872 639.0 10 4227 576.0 ...........a) When the site mean is based on all the entries (genotypes) -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I 12 I I 4 I 1.11 I I I 3 I I I I 5 I I I I I 1.08 I I I I I I I I I 2 I I I 1.05 I I I I I I I I I I I I 1.02 I I I I I I I 8 13 I I 6 I I I 0.99 I 7 I I I I I I I I I I I 0.96 I I I I I I I 9 I I I I I 0.93 I 10 I I 14 I I 11 I I I I I I I 0.90 I 15 I I I I I I I I I I 1 I 0.87 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 3000.0 3120.0 3240.0 3360.0 3480.0 3600.0 3720.0 3840.0 3960.0 4080.0 4200.0 Slope v. GenoMean using factor GenoLev -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I 1 I I I 3.6 I I I I I I I I I I I I 3.2 I I I I I 5 I I I I I I I 2.8 I I I I I I I I I I I I 2.4 I 2 I I I I I I I I 11 I I I 2.0 I 15 I I 8 I I I I I I 4 I I 13 I 1.6 I I I 14 I I I I I I 6 I I I 1.2 I I I I I I I I I I I I 0.8 I 3 7 12 I I 9 I I I I 10 I I I I I 0.4 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 3000.0 3120.0 3240.0 3360.0 3480.0 3600.0 3720.0 3840.0 3960.0 4080.0 4200.0 PStat v. GenoMean using factor GenoLev -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I1 I I I 3.6 I I I I I I I I I I I I 3.2 I I I I I 5 I I I I I I I 2.8 I I I I I I I I I I I I 2.4 I 2 I I I I I I I I 11 I I I 2.0 I 15 I I 8 I I I I I I 4 I I 13 I 1.6 I I I 14 I I I I I I 6 I I I 1.2 I I I I I I I I I I I I 0.8 I 7 3 1 I I 9 I I I I 10 I I I I I 0.4 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 0.875 0.900 0.925 0.950 0.975 1.000 1.025 1.050 1.075 1.100 1.125 PStat v. Slope using factor GenoLev -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 0.8 I 10 I I I I I I I I I I I 0.7 I 9 I I I I 12 I I 3 7 I I I I I 0.6 I I I I I I I I I I I I 0.5 I I I I I I I I I I I I 0.4 I I I I I I I 6 I I I I I 0.3 I I I I I 14 I I I I I I 13 I 0.2 I 4 I I I I I I 8 I I 15 I I 11 I 0.1 I I I 2 I I I I I I 5 I I 1 I 0.0 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 3000.0 3120.0 3240.0 3360.0 3480.0 3600.0 3720.0 3840.0 3960.0 4080.0 4200.0 PrChi v. GenoMean using factor GenoLev ........... Correlations ........ Corr GenoMean 1.0000 Slope 0.7634 1.0000 DevMs -0.3674 -0.1754 1.0000 PStat -0.3875 -0.1832 0.9944 1.0000 PrChi 0.3264 0.1213 -0.9240 -0.9007 1.0000 GenoMean Slope DevMs PStat PrChi GenoLev GenoMean GenoCV Slope DevMs PStat ChiSq PrChi R2bar% 1 3167 62.18 0.875 621217 3.749 12.336 0.0103 83.99 2 3751 61.36 1.062 448632 2.372 7.532 0.0827 91.53 3 3744 62.39 1.107 148219 0.804 2.062 0.6533 97.28 4 3737 63.55 1.113 293541 1.759 5.393 0.1980 94.79 5 4018 59.39 1.097 528845 3.093 10.048 0.0282 90.71 6 3599 59.44 1.001 253562 1.334 3.910 0.3489 94.46 7 3784 55.28 0.988 150066 0.817 2.105 0.6450 96.57 8 3584 60.58 1.007 344033 1.932 5.996 0.1556 92.70 9 3713 53.77 0.945 119391 0.738 1.829 0.7000 97.00 10 3635 53.93 0.929 105341 0.605 1.367 0.7946 97.26 11 3694 54.37 0.920 405945 2.159 6.789 0.1127 89.94 12 4122 57.37 1.122 138226 0.774 1.956 0.6746 97.53 13 3810 56.73 1.007 303617 1.668 5.074 0.2244 93.50 14 3542 56.23 0.925 280336 1.549 4.661 0.2632 92.93 15 3458 56.76 0.902 353628 2.016 6.289 0.1382 90.82 ........b)When the site mean excludes the entry (genotype) in evaluation -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 1.16 I I I I I I I I I I I 12 I 1.12 I 4 I I 3 I I I I I I 5 I I I 1.08 I I I I I I I 2 I I I I I 1.04 I I I I I I I I I I I I 1.00 I 86 13 I I I I 7 I I I I I I I 0.96 I I I I I I I 9 I I I I I 0.92 I 10 I I 14 I I 11 I I I I 15 I I I 0.88 I I I I I I I 1 I I I I I 0.84 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 3000.0 3120.0 3240.0 3360.0 3480.0 3600.0 3720.0 3840.0 3960.0 4080.0 4200.0 Slope v. GenoMean using factor GenoLev -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 4.5 I I I I I I I 1 I I I I I 4.0 I I I I I I I I I I I 5 I 3.5 I I I I I I I I I I I I 3.0 I I I I I I I 2 I I I I I 2.5 I 11 I I I I I I 15 I I 8 I I 4 I 2.0 I I I 13 I I I I 14 I I I I I 1.5 I 6 I I I I I I I I I I I 1.0 I I I 3 7 12 I I 9 I I I I 10 I I I 0.5 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 3000.0 3120.0 3240.0 3360.0 3480.0 3600.0 3720.0 3840.0 3960.0 4080.0 4200.0 PStat v. GenoMean using factor GenoLev -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 4.5 I I I I I I I 1 I I I I I 4.0 I I I I I I I I I I I 5 I 3.5 I I I I I I I I I I I I 3.0 I I I I I I I 2 I I I I I 2.5 I 11 I I I I I I 15 I I 8 I I 4 I 2.0 I I I 13 I I I I 14 I I I I I 1.5 I 6 I I I I I I I I I I I 1.0 I I I 7 3 12 I I 9 I I I I 10 I I I 0.5 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 0.84 0.87 0.90 0.93 0.96 0.99 1.02 1.05 1.08 1.11 1.14 PStat v. Slope using factor GenoLev -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 0.8 I I I I I I I I I 10 I I I 0.7 I I I I I I I I I 9 I I I 0.6 I I I 12 I I 3 7 I I I I I I I 0.5 I I I I I I I I I I I I 0.4 I I I I I I I I I I I I 0.3 I I I I I 6 I I I I I I I 0.2 I 14 I I I I I I 13 I I 4 I I I 0.1 I 15 8 I I I I 11 I I 2 I I I I 5 I 0.0 I 1 I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 3000.0 3120.0 3240.0 3360.0 3480.0 3600.0 3720.0 3840.0 3960.0 4080.0 4200.0 PrChi v. GenoMean using factor GenoLev ........... Correlations ........ Corr GenoMean 1.0000 Slope 0.7634 1.0000 DevMs -0.3674 -0.1754 1.0000 PStat -0.3875 -0.1832 0.9944 1.0000 PrChi 0.3264 0.1213 -0.9240 -0.9007 1.0000 GenoMean Slope DevMs PStat PrChi ............Statistics and significance ...... GenoLev GenoMean GenoCV Slope DevMs PStat ChiSq PrChi R2bar% 1 3167 62.18 0.8580 700141 4.267 14.082 0.0046 81.95 2 3751 61.36 1.0595 519353 2.728 8.886 0.0482 90.20 3 3744 62.39 1.1135 172760 0.936 2.527 0.5655 96.83 4 3737 63.55 1.1170 342357 2.043 6.460 0.1322 93.93 5 4018 59.39 1.0959 615226 3.599 11.864 0.0129 89.20 6 3599 59.44 0.9968 291031 1.531 4.617 0.2692 93.64 7 3784 55.28 0.9849 171949 0.937 2.525 0.5655 96.07 8 3584 60.58 1.0025 395209 2.204 7.008 0.1049 91.62 9 3713 53.77 0.9395 135968 0.841 2.197 0.6281 96.59 10 3635 53.93 0.9226 119696 0.686 1.657 0.7364 96.88 11 3694 54.37 0.9082 460515 2.480 7.797 0.0715 88.59 12 4122 57.37 1.1298 161460 0.902 2.395 0.5881 97.11 13 3810 56.73 1.0025 348765 1.931 5.931 0.1564 92.54 14 3542 56.23 0.9159 318309 1.756 5.338 0.1993 91.98 15 3458 56.76 0.8907 400201 2.288 7.151 0.0942 89.61 Variable = MnBYield SiteLev SiteMean SeM 1 1832 186.0 2 7890 513.0 3 7042 587.0 4 6922 984.0 5 5312 620.0 6 1643 449.0 7 3667 287.0 8 540 64.0 9 7634 830.0 10 5495 749.0 ...........a) When the site mean is based on all the entries (genotypes) -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I 12 I I 4 I 1.11 I I I 3 I I I I 5 I I I I I 1.08 I I I I I I I I I 2 I I I 1.05 I I I I I I I I I I I I 1.02 I I I I I I I 8 13 I I 6 I I I 0.99 I 7 I I I I I I I I I I I 0.96 I I I I I I I 9 I I I I I 0.93 I 10 I I 14 I I 11 I I I I I I I 0.90 I 15 I I I I I I I I I I 1 I 0.87 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 4050.0 4200.0 4350.0 4500.0 4650.0 4800.0 4950.0 5100.0 5250.0 5400.0 5550.0 Slope v. GenoMean using factor GenoLev -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I 1 I I I 3.6 I I I I I I I I I I I I 3.2 I I I I I 5 I I I I I I I 2.8 I I I I I I I I I I I I 2.4 I 2 I I I I I I I I 11 I I I 2.0 I 15 I I 8 I I I I I I 4 I I 13 I 1.6 I I I 14 I I I I I I 6 I I I 1.2 I I I I I I I I I I I I 0.8 I 3 7 12 I I 9 I I I I 10 I I I I I 0.4 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 4050.0 4200.0 4350.0 4500.0 4650.0 4800.0 4950.0 5100.0 5250.0 5400.0 5550.0 PStat v. GenoMean using factor GenoLev -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I1 I I I 3.6 I I I I I I I I I I I I 3.2 I I I I I 5 I I I I I I I 2.8 I I I I I I I I I I I I 2.4 I 2 I I I I I I I I 11 I I I 2.0 I 15 I I 8 I I I I I I 4 I I 13 I 1.6 I I I 14 I I I I I I 6 I I I 1.2 I I I I I I I I I I I I 0.8 I 7 3 1 I I 9 I I I I 10 I I I I I 0.4 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 0.875 0.900 0.925 0.950 0.975 1.000 1.025 1.050 1.075 1.100 1.125 PStat v. Slope using factor GenoLev -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 0.8 I 10 I I I I I I I I I I I 0.7 I 9 I I I I 12 I I 3 7 I I I I I 0.6 I I I I I I I I I I I I 0.5 I I I I I I I I I I I I 0.4 I I I I I I I 6 I I I I I 0.3 I I I I I 14 I I I I I I 13 I 0.2 I 4 I I I I I I 8 I I 15 I I 11 I 0.1 I I I 2 I I I I I I 5 I I 1 I 0.0 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 4050.0 4200.0 4350.0 4500.0 4650.0 4800.0 4950.0 5100.0 5250.0 5400.0 5550.0 PrChi v. GenoMean using factor GenoLev ........... Correlations ........ Corr GenoMean 1.0000 Slope 0.7633 1.0000 DevMs -0.3671 -0.1750 1.0000 PStat -0.3872 -0.1828 0.9944 1.0000 PrChi 0.3261 0.1210 -0.9240 -0.9007 1.0000 GenoMean Slope DevMs PStat PrChi GenoLev GenoMean GenoCV Slope DevMs PStat ChiSq PrChi R2bar% 1 4117 62.19 0.875 1049716 3.748 12.344 0.0103 83.99 2 4876 61.37 1.062 758316 2.372 7.539 0.0827 91.53 3 4868 62.39 1.107 250445 0.804 2.064 0.6537 97.28 4 4858 63.55 1.113 496095 1.759 5.398 0.1980 94.79 5 5224 59.38 1.097 893837 3.093 10.057 0.0282 90.71 6 4678 59.44 1.001 428523 1.334 3.914 0.3491 94.46 7 4919 55.27 0.988 253749 0.817 2.108 0.6450 96.57 8 4659 60.58 1.007 581372 1.931 6.000 0.1558 92.70 9 4827 53.77 0.945 201570 0.737 1.829 0.7008 97.01 10 4725 53.93 0.929 177910 0.604 1.367 0.7952 97.26 11 4802 54.37 0.920 685760 2.158 6.791 0.1129 89.94 12 5359 57.37 1.122 233692 0.774 1.959 0.6746 97.53 13 4953 56.74 1.007 513140 1.667 5.078 0.2245 93.50 14 4605 56.22 0.925 473531 1.548 4.662 0.2636 92.94 15 4495 56.75 0.902 597453 2.015 6.292 0.1384 90.82 ........b)When the site mean excludes the entry (genotype) in evaluation -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 1.16 I I I I I I I I I I I 12 I 1.12 I 4 I I 3 I I I I I I 5 I I I 1.08 I I I I I I I 2 I I I I I 1.04 I I I I I I I I I I I I 1.00 I 86 13 I I I I 7 I I I I I I I 0.96 I I I I I I I 9 I I I I I 0.92 I 10 I I 14 I I 11 I I I I 15 I I I 0.88 I I I I I I I 1 I I I I I 0.84 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 4050.0 4200.0 4350.0 4500.0 4650.0 4800.0 4950.0 5100.0 5250.0 5400.0 5550.0 Slope v. GenoMean using factor GenoLev -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 4.5 I I I I I I I 1 I I I I I 4.0 I I I I I I I I I I I 5 I 3.5 I I I I I I I I I I I I 3.0 I I I I I I I 2 I I I I I 2.5 I 11 I I I I I I 15 I I 8 I I 4 I 2.0 I I I 13 I I I I 14 I I I I I 1.5 I 6 I I I I I I I I I I I 1.0 I I I 3 7 12 I I 9 I I I I 10 I I I 0.5 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 4050.0 4200.0 4350.0 4500.0 4650.0 4800.0 4950.0 5100.0 5250.0 5400.0 5550.0 PStat v. GenoMean using factor GenoLev -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 4.5 I I I I I I I 1 I I I I I 4.0 I I I I I I I I I I I 5 I 3.5 I I I I I I I I I I I I 3.0 I I I I I I I 2 I I I I I 2.5 I 11 I I I I I I 15 I I 8 I I 4 I 2.0 I I I 13 I I I I 14 I I I I I 1.5 I 6 I I I I I I I I I I I 1.0 I I I 7 3 12 I I 9 I I I I 10 I I I 0.5 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 0.84 0.87 0.90 0.93 0.96 0.99 1.02 1.05 1.08 1.11 1.14 PStat v. Slope using factor GenoLev -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 0.8 I I I I I I I I I 10 I I I 0.7 I I I I I I I I I 9 I I I 0.6 I I I 12 I I 3 7 I I I I I I I 0.5 I I I I I I I I I I I I 0.4 I I I I I I I I I I I I 0.3 I I I I I 6 I I I I I I I 0.2 I 14 I I I I I I 13 I I 4 I I I 0.1 I 15 8 I I I I 11 I I 2 I I I I 5 I 0.0 I 1 I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 4050.0 4200.0 4350.0 4500.0 4650.0 4800.0 4950.0 5100.0 5250.0 5400.0 5550.0 PrChi v. GenoMean using factor GenoLev ........... Correlations ........ Corr GenoMean 1.0000 Slope 0.7633 1.0000 DevMs -0.3671 -0.1750 1.0000 PStat -0.3872 -0.1828 0.9944 1.0000 PrChi 0.3261 0.1210 -0.9240 -0.9007 1.0000 GenoMean Slope DevMs PStat PrChi ............Statistics and significance ...... GenoLev GenoMean GenoCV Slope DevMs PStat ChiSq PrChi R2bar% 1 4117 62.19 0.8580 1183081 4.265 14.091 0.0046 81.96 2 4876 61.37 1.0597 877868 2.728 8.895 0.0482 90.20 3 4868 62.39 1.1134 291911 0.936 2.529 0.5659 96.83 4 4858 63.55 1.1170 578594 2.043 6.465 0.1323 93.93 5 5224 59.38 1.0959 1039832 3.599 11.875 0.0129 89.20 6 4678 59.44 0.9968 491845 1.531 4.621 0.2694 93.64 7 4919 55.27 0.9849 290751 0.937 2.529 0.5655 96.07 8 4659 60.58 1.0025 667850 2.204 7.013 0.1049 91.62 9 4827 53.77 0.9395 229559 0.840 2.197 0.6289 96.59 10 4725 53.93 0.9227 202155 0.686 1.657 0.7371 96.89 11 4802 54.37 0.9082 777941 2.479 7.800 0.0716 88.59 12 5359 57.37 1.1298 272973 0.902 2.399 0.5882 97.11 13 4953 56.74 1.0025 589446 1.930 5.936 0.1565 92.54 14 4605 56.22 0.9159 537670 1.754 5.339 0.1996 91.98 15 4495 56.75 0.8906 676135 2.287 7.155 0.0943 89.61