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(D/M/Y) : 1 / 9 / 2016 Time : 15 hr 10 min (Program codes updated: 15 December 2015, Amman, Jordan) Summary of the spatial analysis of the data from similar trials conducted in UnReplicated designs References: Rollins, J. A., B. Drosse, M. A. Mulki, S. Grando, M. Baum, M. Singh, S. Ceccarelli, and M. von Korff (2013). Variation at the vernalisation genes Vrn-H1 and Vrn-H2 determines growth and yield stability in barley (Hordeum vulgare) grown under dryland conditions in Syria. Theoretical and Applied Genetics,126: 2803–282. Singh, M., R. S. Malhotra, S. Ceccarelli, A. Sarker, S. Grando,and W. Erskine (2003). Spatial variability models to improve dryland field trials. Journal of Experimental Agriculture, 39:151-160. ********** Notations ************************************ ModelTitle = Crd,CrdAr,CrdArAr, CrdL,CrdLAr,CrdLArAr, CrdCS,CrdCSAr,CrdCSArAr ModelNo = 1, 2, 3, 4, 5, 6, 7, 8, 9 (also BestModelNo) The texts in the ModelTitle stand for following features combined: Crd = Completely randomized design(CRD); no spatial feature Ar = First order auto-correlated (AR) errors along rows ArAr = First order auto-correlated (AR) errors along rows and along columns L = Linear trend along rows CS = random cubic smoothing spline in column numbers (including linear trend) Eff% = % Efficiency of the best model over the CRD with independent errors Herit_plot = heritability in broad sense and plot basis (no replicates) Se_Herit_plot= Standard error of Herit_plot Prob>Chi-square(Geno) = Probability of greater chi-square when genotypic effects are equal (for testing statistical significance of genotypic effects) DF = degrees of freedom SE = standard error Geno = Genotypes Sigma2(Residual)= Error-variance component Sigma2(Geno)= Genotypic -variance component GrandMn = Grand mean GainSelx% = % Genetic gain[advance] for the x%=5,10,20 selection intensity and heritability= Herit_plot BlueMn = Best linear unbiased estimate [BLUE] of (the genotype) mean BlupMn = Best linear unbiased predictor [BLUP] estimate of (the genotype) mean SeBlueMn = Standard error of the BlueMn SeBlupMn = Standard error of the BlupMn UnadMn = Unadjusted mean SeUnadMn = Standard error of the UnadMn under CRD with independent errors Av.SE = Average standard error of genotype means/BlueMn/BlupMn Av.SED = Average standard error of difference between pairs of genotype effects Av.LSDab% = Average Least significant difference (LSD) in a=Checks, Tests, or for Check vs. Test at b%=5%, 1% level of significance CV% = Coefficient of variation ......................................................................................................... 1. Trials and parameters of the designs ......................................................................................................... No. of similar trials = 2 No. of rows in each trial layout = 4 No. of columns in each trial layout = 37 No. of genotypes = 132 No. of plots in each trial = 148 Variables analyzed : gybr , phbr Best model searched from : Crd ,CrdAr,CrdArAr, CrdL,CrdLAr,CrdLArAr, CrdCS,CrdCSAr,CrdCSArAr Criterion for selecting best model : AIC1 where aic/bic(=sic): Akaike Information Coefficient/Bayesian(=Schwarz) Information Coefficient AIC1: Akaike information criterion expressed as deviance and using Singh et al. (2003) to select the best model. ......................................................................................................... 2. Trial-wise summary ......................................................................................................... ****** Genotypic variability and significance, and experimental error variability ***** Trial Variable BestModelNo. ModelTitle Eff% Heritability SE-Heritability 1 gybr 2 CrdAr 473.00 0.513 0.100 a) Best model: Genotypes effects assumed fixed (case of BLUE- Best Linear Unbiased Estimation) Model Prob>Chi-square(Geno) DF(Geno) Sigma2(Residual) (+/-)SE DF(Residual) CrdAr 0 131.0 16534 8181 14.00 b) Best model: Genotypes effects assumed random (case of BLUP- Best Linear Unbiased Prediction) Model Sigma2(Geno) (+/-)SE Sigma2(Residual) (+/-)SE DF(Residual) CrdAr 16337 2970 15518 4863 144.0 Mean Genetic gains based on top 5%, 10% and 20% of selection GrandMn GainSel5% GainSel10% GainSel20% 966.72 19.53 16.62 13.25 c) CRD model: Genotypes effects assumed fixed (case of BLUE- Best Linear Unbiased Estimation) Model Prob>Chi-square(Geno) DF(Geno) Sigma2(Residual) (+/-)SE DF(Residual) CRD 0 131.0 14295 5054 15.00 ***** Predicted means and standard errors ***** Genotype Replicates BlueMn SeBlueMn BlupMn SeBlupMn UnadMn SeUnadMn 1 1 912.60 61.818 909.12 62.689 837.00 119.562 2 1 795.50 67.834 787.25 69.124 708.00 119.562 3 1 1219.56 70.640 1153.11 70.874 1120.00 119.562 4 1 1052.80 70.640 990.50 70.874 941.00 119.562 5 1 956.25 67.834 908.82 69.124 832.00 119.562 6 1 1105.92 61.818 1058.73 62.689 969.00 119.562 7 15 1056.84 51.425 1043.54 34.988 1049.07 30.871 8 1 780.95 59.532 806.01 59.336 685.00 119.562 9 3 645.24 59.231 662.40 50.190 559.00 69.029 10 1 977.36 68.187 1042.57 66.321 933.00 119.562 11 1 454.56 73.012 597.04 70.537 408.00 119.562 12 1 728.84 74.547 837.49 71.446 680.00 119.562 13 1 1026.21 73.012 1065.95 70.537 975.00 119.562 14 1 1082.68 68.187 1089.68 66.321 1029.00 119.562 15 1 1033.72 66.600 1010.78 67.191 943.00 119.562 16 1 1264.37 66.600 1219.11 67.191 1139.00 119.562 17 1 879.95 62.174 889.26 62.658 769.00 119.562 18 1 969.26 69.327 981.53 69.152 855.00 119.562 19 1 870.78 73.982 896.04 71.099 753.00 119.562 20 1 886.52 76.626 907.91 71.700 765.00 119.562 21 1 966.47 77.485 970.92 71.836 841.00 119.562 22 1 965.66 76.626 959.88 71.700 836.00 119.562 23 1 946.08 73.982 933.07 71.099 812.00 119.562 24 1 1053.74 69.327 1027.85 69.152 915.00 119.562 25 1 931.66 62.174 917.31 62.658 788.00 119.562 26 1 1095.62 61.491 1037.00 62.604 953.00 119.562 27 1 1148.66 69.460 1071.26 69.062 1012.00 119.562 28 1 967.95 76.045 908.59 70.984 837.00 119.562 29 1 1018.48 81.625 962.26 71.636 893.00 119.562 30 1 1027.23 86.432 976.41 72.162 907.00 119.562 31 1 991.21 90.621 952.54 73.650 876.00 119.562 32 1 919.40 94.303 892.24 78.721 809.00 119.562 33 1 937.88 69.460 917.36 74.640 871.00 119.562 34 1 1060.80 61.491 1031.96 63.360 991.00 119.562 35 1 943.46 62.174 916.46 62.658 868.00 119.562 36 1 909.21 69.327 855.60 69.152 831.00 119.562 37 1 1150.10 73.982 1036.81 71.099 1069.00 119.562 38 1 1251.15 76.626 1101.49 71.700 1167.00 119.562 39 1 1066.34 77.485 923.38 71.836 979.00 119.562 40 1 1179.70 76.626 1029.77 71.700 1089.00 119.562 41 1 1021.22 73.982 884.62 71.099 927.00 119.562 42 1 1306.91 69.327 1157.94 69.152 1209.00 119.562 43 1 1177.78 62.174 1077.95 62.658 1076.00 119.562 44 1 941.56 62.174 957.70 62.658 829.00 119.562 45 1 820.48 69.327 868.54 69.152 701.00 119.562 46 1 902.62 73.982 957.62 71.099 776.00 119.562 47 1 785.99 76.626 851.85 71.700 652.00 119.562 48 1 968.60 77.485 1015.89 71.836 827.00 119.562 49 1 804.48 76.626 855.92 71.700 655.00 119.562 50 1 978.62 73.982 1006.10 71.099 821.00 119.562 51 1 827.05 69.327 850.03 69.152 661.00 119.562 52 1 1063.79 62.174 1051.89 62.658 889.00 119.562 53 1 740.62 62.174 745.82 62.658 567.00 119.562 54 1 1058.72 69.327 1018.38 69.152 895.00 119.562 55 1 879.12 73.982 814.90 71.099 725.00 119.562 56 1 1275.80 76.626 1143.31 71.700 1131.00 119.562 57 1 1040.74 77.485 898.51 71.836 905.00 119.562 58 1 1433.93 76.626 1261.64 71.700 1307.00 119.562 59 1 937.35 73.982 829.81 71.099 819.00 119.562 60 1 1034.98 69.327 950.41 69.152 925.00 119.562 61 1 1118.82 62.174 1054.44 62.658 1017.00 119.562 62 1 1012.92 61.491 980.66 62.524 923.00 119.562 63 1 1025.16 69.460 981.79 69.293 939.00 119.562 64 1 1018.56 76.045 971.90 72.640 936.00 119.562 65 1 994.11 81.625 948.62 78.291 915.00 119.562 66 1 1110.21 86.432 1171.91 78.584 1200.00 119.562 67 1 694.29 81.625 822.38 73.338 788.00 119.562 68 1 607.20 76.045 758.57 71.303 705.00 119.562 69 1 845.94 69.460 957.61 69.040 948.00 119.562 70 1 752.49 61.491 823.94 62.539 859.00 119.562 71 1 1229.65 62.174 1144.15 62.658 1347.00 119.562 72 1 1188.25 69.327 1083.76 69.152 1312.00 119.562 73 1 1160.62 73.982 1070.32 71.099 1291.00 119.562 74 1 1057.76 76.626 1010.76 71.700 1195.00 119.562 75 1 896.64 77.485 904.05 71.836 1041.00 119.562 76 1 944.26 76.626 984.35 71.700 1096.00 119.562 77 1 721.61 73.982 799.10 71.099 881.00 119.562 78 1 788.66 69.327 849.84 69.152 956.00 119.562 79 1 1075.41 62.174 1082.13 62.658 1251.00 119.562 80 1 593.96 62.174 704.41 62.658 771.00 119.562 81 1 813.75 69.327 964.40 69.152 984.00 119.562 82 1 737.23 73.982 929.04 71.099 901.00 119.562 83 1 558.41 76.626 782.35 71.700 716.00 119.562 84 1 725.31 77.485 926.47 71.836 877.00 119.562 85 1 762.93 76.626 932.05 71.700 909.00 119.562 86 1 775.28 73.982 904.13 71.099 916.00 119.562 87 1 1023.38 69.327 1093.78 69.152 1159.00 119.562 88 1 761.23 62.174 814.19 62.658 892.00 119.562 89 1 974.11 61.491 958.64 62.644 1095.00 119.562 90 1 1127.17 69.460 1105.26 69.136 1243.00 119.562 91 1 1078.01 76.045 1092.27 71.085 1189.00 119.562 92 1 920.64 81.625 1010.67 71.699 1027.00 119.562 93 1 503.09 86.432 684.62 71.886 605.00 119.562 94 1 613.35 90.621 800.48 71.928 711.00 119.562 95 1 802.43 94.303 946.60 71.923 896.00 119.562 96 1 933.34 97.562 1031.65 71.961 1023.00 119.562 97 1 946.09 100.461 1021.66 72.283 1032.00 119.562 98 1 837.68 103.051 909.90 73.700 920.00 119.562 99 1 974.12 105.373 1026.61 78.744 1053.00 119.562 100 1 867.02 97.562 925.93 78.735 951.00 119.562 101 1 880.36 94.303 927.24 73.680 968.00 119.562 102 1 884.54 90.621 907.70 72.238 976.00 119.562 103 1 1011.55 86.432 992.30 71.847 1107.00 119.562 104 1 1104.39 81.625 1049.79 71.611 1204.00 119.562 105 1 1044.04 76.045 978.46 71.016 1148.00 119.562 106 1 1170.51 69.460 1095.05 69.093 1279.00 119.562 107 1 1039.78 61.491 992.47 62.623 1153.00 119.562 108 1 936.86 62.174 934.74 62.658 1053.00 119.562 109 1 998.67 69.327 996.32 69.152 1113.00 119.562 110 1 968.27 73.982 974.01 71.099 1081.00 119.562 111 1 931.67 76.626 946.97 71.700 1043.00 119.562 112 1 918.86 77.485 936.85 71.836 1029.00 119.562 113 1 919.85 76.626 930.51 71.700 1029.00 119.562 114 1 944.64 73.982 935.74 71.099 1053.00 119.562 115 1 1131.24 69.327 1091.70 69.152 1239.00 119.562 116 1 1040.64 62.174 1008.44 62.658 1148.00 119.562 117 1 983.09 62.174 965.50 62.658 1089.00 119.562 118 1 932.15 69.327 908.52 69.152 1037.00 119.562 119 1 1095.02 73.982 1045.24 71.099 1199.00 119.562 120 1 1227.70 76.626 1174.70 71.700 1331.00 119.562 121 1 736.19 77.485 744.25 71.836 839.00 119.562 122 1 1006.50 76.626 1003.88 71.700 1109.00 119.562 123 1 941.61 73.982 939.37 71.099 1044.00 119.562 124 1 1038.54 69.327 1027.11 69.152 1141.00 119.562 125 1 909.29 62.174 906.91 62.658 1012.00 119.562 126 1 1043.77 61.978 1005.73 62.675 1141.00 119.562 127 1 1053.51 68.482 1001.53 69.151 1145.00 119.562 128 1 1129.09 72.087 1072.37 71.036 1215.00 119.562 129 1 939.52 73.246 909.94 71.454 1020.00 119.562 130 1 927.79 72.087 906.17 71.036 1003.00 119.562 131 1 1026.93 68.482 993.24 69.151 1097.00 119.562 132 1 1098.95 61.978 1060.82 62.675 1164.00 119.562 Av.SE: 73.117 68.994 118.507 Av.SED: 75.446 87.159 167.923 Av.LSD5%Test: 166.785 173.822 360.399 Av.LSD5%Check: 65.415 81.714 161.175 Av.LSD5%Chk_Test: 127.645 136.529 279.164 Av.LSD1%Test: 231.488 229.561 498.248 Av.LSD1%Check: 90.792 107.917 222.823 Av.LSD1%Chk_Test: 177.164 180.310 385.941 CV%: 13.30 12.89 12.37 ......................................................................................................... ****** Genotypic variability and significance, and experimental error variability ***** Trial Variable BestModelNo. ModelTitle Eff% Heritability SE-Heritability 1 phbr 2 CrdAr 220.62 0.572 0.112 a) Best model: Genotypes effects assumed fixed (case of BLUE- Best Linear Unbiased Estimation) Model Prob>Chi-square(Geno) DF(Geno) Sigma2(Residual) (+/-)SE DF(Residual) CrdAr 0 131.0 16.03 6.538 14.00 b) Best model: Genotypes effects assumed random (case of BLUP- Best Linear Unbiased Prediction) Model Sigma2(Geno) (+/-)SE Sigma2(Residual) (+/-)SE DF(Residual) CrdAr 50.35 8.612 37.69 14.20 144.0 Mean Genetic gains based on top 5%, 10% and 20% of selection GrandMn GainSel5% GainSel10% GainSel20% 37.32 29.66 25.23 20.13 c) CRD model: Genotypes effects assumed fixed (case of BLUE- Best Linear Unbiased Estimation) Model Prob>Chi-square(Geno) DF(Geno) Sigma2(Residual) (+/-)SE DF(Residual) CRD 0 131.0 14.90 5.268 15.00 ***** Predicted means and standard errors ***** Genotype Replicates BlueMn SeBlueMn BlupMn SeBlupMn UnadMn SeUnadMn 1 1 32.87 2.160 34.22 2.999 35.00 3.860 2 1 32.26 2.566 33.96 3.351 33.00 3.860 3 1 39.64 2.741 41.00 3.468 39.00 3.860 4 1 37.03 2.741 38.63 3.468 35.00 3.860 5 1 27.45 2.566 29.45 3.351 24.00 3.860 6 1 39.92 2.160 40.82 2.999 35.00 3.860 7 15 36.45 1.287 36.80 1.886 36.20 0.997 8 1 34.31 1.983 35.43 2.825 29.00 3.860 9 3 25.24 1.919 26.70 2.527 23.00 2.229 10 1 34.49 2.550 36.46 3.228 31.00 3.860 11 1 42.78 2.853 45.03 3.466 40.00 3.860 12 1 27.11 2.945 30.96 3.527 25.00 3.860 13 1 20.47 2.853 24.72 3.466 19.00 3.860 14 1 40.85 2.550 43.21 3.228 40.00 3.860 15 1 38.89 2.462 39.61 3.244 38.00 3.860 16 1 46.56 2.462 46.84 3.244 45.00 3.860 17 1 36.37 2.175 38.78 2.997 35.00 3.860 18 1 25.31 2.639 29.97 3.358 24.00 3.860 19 1 25.27 2.911 30.83 3.498 24.00 3.860 20 1 34.24 3.058 39.51 3.552 33.00 3.860 21 1 36.23 3.104 41.58 3.566 35.00 3.860 22 1 26.24 3.058 32.39 3.552 25.00 3.860 23 1 29.27 2.911 35.33 3.498 28.00 3.860 24 1 21.31 2.639 26.91 3.358 20.00 3.860 25 1 31.37 2.175 34.62 2.997 30.00 3.860 26 1 29.29 2.158 32.53 2.990 28.00 3.860 27 1 22.15 2.652 27.35 3.348 21.00 3.860 28 1 24.02 2.985 29.38 3.490 23.00 3.860 29 1 33.91 3.224 37.98 3.557 33.00 3.860 30 1 38.81 3.402 41.66 3.615 38.00 3.860 31 1 40.72 3.536 43.06 3.718 40.00 3.860 32 1 30.64 3.638 33.43 3.959 30.00 3.860 33 1 41.15 2.652 39.85 3.600 40.00 3.860 34 1 46.29 2.158 45.17 3.029 45.00 3.860 35 1 39.61 2.175 40.69 2.997 38.00 3.860 36 1 31.80 2.639 34.11 3.358 30.00 3.860 37 1 29.00 2.911 31.91 3.498 27.00 3.860 38 1 30.24 3.058 32.70 3.552 28.00 3.860 39 1 37.51 3.104 38.63 3.566 35.00 3.860 40 1 39.81 3.058 39.75 3.552 37.00 3.860 41 1 46.15 2.911 45.23 3.498 43.00 3.860 42 1 40.53 2.639 40.06 3.358 37.00 3.860 43 1 32.96 2.175 33.31 2.997 29.00 3.860 44 1 31.53 2.175 33.69 2.997 27.00 3.860 45 1 28.67 2.639 31.92 3.358 24.00 3.860 46 1 33.87 2.911 37.20 3.498 29.00 3.860 47 1 27.14 3.058 30.46 3.552 22.00 3.860 48 1 39.48 3.104 41.52 3.566 34.00 3.860 49 1 35.90 3.058 37.33 3.552 30.00 3.860 50 1 40.40 2.911 41.13 3.498 34.00 3.860 51 1 34.98 2.639 35.62 3.358 28.00 3.860 52 1 41.66 2.175 41.81 2.997 34.00 3.860 53 1 33.26 2.175 33.97 2.997 26.00 3.860 54 1 45.17 2.639 45.55 3.358 39.00 3.860 55 1 29.17 2.911 30.58 3.498 24.00 3.860 56 1 43.23 3.058 44.40 3.552 39.00 3.860 57 1 35.36 3.104 37.46 3.566 32.00 3.860 58 1 25.53 3.058 28.51 3.552 23.00 3.860 59 1 36.73 2.911 38.97 3.498 35.00 3.860 60 1 35.96 2.639 37.67 3.358 35.00 3.860 61 1 35.20 2.175 36.36 2.997 35.00 3.860 62 1 34.51 2.158 36.24 2.987 35.00 3.860 63 1 31.56 2.652 34.39 3.373 32.00 3.860 64 1 32.61 2.985 35.96 3.604 33.00 3.860 65 1 30.66 3.224 34.21 3.897 31.00 3.860 66 1 35.92 3.402 37.90 3.935 34.00 3.860 67 1 32.16 3.224 34.39 3.674 30.00 3.860 68 1 31.43 2.985 33.31 3.524 29.00 3.860 69 1 39.73 2.652 40.47 3.352 37.00 3.860 70 1 43.07 2.158 43.15 2.986 40.00 3.860 71 1 43.86 2.175 43.56 2.997 41.00 3.860 72 1 37.30 2.639 37.36 3.358 35.00 3.860 73 1 41.78 2.911 42.10 3.498 40.00 3.860 74 1 33.29 3.058 34.61 3.552 32.00 3.860 75 1 35.81 3.104 37.58 3.566 35.00 3.860 76 1 35.34 3.058 37.53 3.552 35.00 3.860 77 1 32.88 2.911 35.44 3.498 33.00 3.860 78 1 29.41 2.639 31.95 3.358 30.00 3.860 79 1 35.94 2.175 37.42 2.997 37.00 3.860 80 1 30.45 2.175 29.95 2.997 32.00 3.860 81 1 32.44 2.639 29.65 3.358 34.00 3.860 82 1 61.40 2.911 54.80 3.498 63.00 3.860 83 1 48.34 3.058 40.87 3.552 50.00 3.860 84 1 62.26 3.104 54.33 3.566 64.00 3.860 85 1 28.15 3.058 22.60 3.552 30.00 3.860 86 1 52.02 2.911 46.02 3.498 54.00 3.860 87 1 47.86 2.639 42.78 3.358 50.00 3.860 88 1 52.67 2.175 49.31 2.997 55.00 3.860 89 1 26.73 2.158 28.73 2.995 29.00 3.860 90 1 27.98 2.652 30.01 3.355 30.00 3.860 91 1 32.20 2.985 32.88 3.496 34.00 3.860 92 1 34.40 3.224 32.83 3.553 36.00 3.860 93 1 52.58 3.402 47.83 3.577 54.00 3.860 94 1 58.74 3.536 52.52 3.586 60.00 3.860 95 1 43.88 3.638 38.72 3.592 45.00 3.860 96 1 36.00 3.718 31.97 3.603 37.00 3.860 97 1 39.11 3.779 35.10 3.636 40.00 3.860 98 1 46.21 3.827 41.65 3.728 47.00 3.860 99 1 45.30 3.865 40.79 3.965 46.00 3.860 100 1 43.61 3.718 40.02 3.962 45.00 3.860 101 1 58.43 3.638 54.76 3.724 60.00 3.860 102 1 28.24 3.536 27.45 3.626 30.00 3.860 103 1 29.02 3.402 29.23 3.583 31.00 3.860 104 1 33.78 3.224 33.44 3.550 36.00 3.860 105 1 45.50 2.985 43.81 3.490 48.00 3.860 106 1 46.19 2.652 44.18 3.350 49.00 3.860 107 1 43.84 2.158 42.60 2.992 47.00 3.860 108 1 41.64 2.175 38.76 2.997 45.00 3.860 109 1 49.79 2.639 43.79 3.358 53.00 3.860 110 1 48.90 2.911 40.73 3.498 52.00 3.860 111 1 64.96 3.058 55.02 3.552 68.00 3.860 112 1 49.98 3.104 41.19 3.566 53.00 3.860 113 1 44.96 3.058 37.78 3.552 48.00 3.860 114 1 38.90 2.911 33.20 3.498 42.00 3.860 115 1 53.79 2.639 48.65 3.358 57.00 3.860 116 1 44.64 2.175 41.91 2.997 48.00 3.860 117 1 46.56 2.175 45.63 2.997 50.00 3.860 118 1 36.63 2.639 35.77 3.358 40.00 3.860 119 1 36.65 2.911 35.48 3.498 40.00 3.860 120 1 34.63 3.058 32.68 3.552 38.00 3.860 121 1 46.56 3.104 42.87 3.566 50.00 3.860 122 1 46.44 3.058 41.85 3.552 50.00 3.860 123 1 53.27 2.911 48.43 3.498 57.00 3.860 124 1 41.05 2.639 37.76 3.358 45.00 3.860 125 1 43.78 2.175 41.96 2.997 48.00 3.860 126 1 39.76 2.168 38.33 2.999 44.00 3.860 127 1 54.01 2.600 50.86 3.356 58.00 3.860 128 1 49.21 2.820 46.60 3.487 53.00 3.860 129 1 37.36 2.888 36.81 3.521 41.00 3.860 130 1 29.45 2.820 30.77 3.487 33.00 3.860 131 1 30.50 2.600 32.42 3.356 34.00 3.860 132 1 31.50 2.168 33.06 2.999 35.00 3.860 Av.SE: 2.789 3.382 3.826 Av.SED: 3.601 4.100 5.421 Av.LSD5%Test: 7.884 8.192 11.635 Av.LSD5%Check: 3.260 3.726 5.204 Av.LSD5%Chk_Test: 6.071 6.399 9.013 Av.LSD1%Test: 10.942 10.818 16.086 Av.LSD1%Check: 4.524 4.921 7.194 Av.LSD1%Chk_Test: 8.426 8.450 12.460 CV%: 10.73 16.45 10.34 ......................................................................................................... ****** Genotypic variability and significance, and experimental error variability ***** Trial Variable BestModelNo. ModelTitle Eff% Heritability SE-Heritability 2 gybr 2 CrdAr 473.00 0.513 0.100 a) Best model: Genotypes effects assumed fixed (case of BLUE- Best Linear Unbiased Estimation) Model Prob>Chi-square(Geno) DF(Geno) Sigma2(Residual) (+/-)SE DF(Residual) CrdAr 0 131.0 16534 8181 14.00 b) Best model: Genotypes effects assumed random (case of BLUP- Best Linear Unbiased Prediction) Model Sigma2(Geno) (+/-)SE Sigma2(Residual) (+/-)SE DF(Residual) CrdAr 16337 2970 15518 4863 144.0 Mean Genetic gains based on top 5%, 10% and 20% of selection GrandMn GainSel5% GainSel10% GainSel20% 966.72 19.53 16.62 13.25 c) CRD model: Genotypes effects assumed fixed (case of BLUE- Best Linear Unbiased Estimation) Model Prob>Chi-square(Geno) DF(Geno) Sigma2(Residual) (+/-)SE DF(Residual) CRD 0 131.0 14295 5054 15.00 ***** Predicted means and standard errors ***** Genotype Replicates BlueMn SeBlueMn BlupMn SeBlupMn UnadMn SeUnadMn 1 1 912.60 61.818 909.12 62.689 837.00 119.562 2 1 795.50 67.834 787.25 69.124 708.00 119.562 3 1 1219.56 70.640 1153.11 70.874 1120.00 119.562 4 1 1052.80 70.640 990.50 70.874 941.00 119.562 5 1 956.25 67.834 908.82 69.124 832.00 119.562 6 1 1105.92 61.818 1058.73 62.689 969.00 119.562 7 15 1056.84 51.425 1043.54 34.988 1049.07 30.871 8 1 780.95 59.532 806.01 59.336 685.00 119.562 9 3 645.24 59.231 662.40 50.190 559.00 69.029 10 1 977.36 68.187 1042.57 66.321 933.00 119.562 11 1 454.56 73.012 597.04 70.537 408.00 119.562 12 1 728.84 74.547 837.49 71.446 680.00 119.562 13 1 1026.21 73.012 1065.95 70.537 975.00 119.562 14 1 1082.68 68.187 1089.68 66.321 1029.00 119.562 15 1 1033.72 66.600 1010.78 67.191 943.00 119.562 16 1 1264.37 66.600 1219.11 67.191 1139.00 119.562 17 1 879.95 62.174 889.26 62.658 769.00 119.562 18 1 969.26 69.327 981.53 69.152 855.00 119.562 19 1 870.78 73.982 896.04 71.099 753.00 119.562 20 1 886.52 76.626 907.91 71.700 765.00 119.562 21 1 966.47 77.485 970.92 71.836 841.00 119.562 22 1 965.66 76.626 959.88 71.700 836.00 119.562 23 1 946.08 73.982 933.07 71.099 812.00 119.562 24 1 1053.74 69.327 1027.85 69.152 915.00 119.562 25 1 931.66 62.174 917.31 62.658 788.00 119.562 26 1 1095.62 61.491 1037.00 62.604 953.00 119.562 27 1 1148.66 69.460 1071.26 69.062 1012.00 119.562 28 1 967.95 76.045 908.59 70.984 837.00 119.562 29 1 1018.48 81.625 962.26 71.636 893.00 119.562 30 1 1027.23 86.432 976.41 72.162 907.00 119.562 31 1 991.21 90.621 952.54 73.650 876.00 119.562 32 1 919.40 94.303 892.24 78.721 809.00 119.562 33 1 937.88 69.460 917.36 74.640 871.00 119.562 34 1 1060.80 61.491 1031.96 63.360 991.00 119.562 35 1 943.46 62.174 916.46 62.658 868.00 119.562 36 1 909.21 69.327 855.60 69.152 831.00 119.562 37 1 1150.10 73.982 1036.81 71.099 1069.00 119.562 38 1 1251.15 76.626 1101.49 71.700 1167.00 119.562 39 1 1066.34 77.485 923.38 71.836 979.00 119.562 40 1 1179.70 76.626 1029.77 71.700 1089.00 119.562 41 1 1021.22 73.982 884.62 71.099 927.00 119.562 42 1 1306.91 69.327 1157.94 69.152 1209.00 119.562 43 1 1177.78 62.174 1077.95 62.658 1076.00 119.562 44 1 941.56 62.174 957.70 62.658 829.00 119.562 45 1 820.48 69.327 868.54 69.152 701.00 119.562 46 1 902.62 73.982 957.62 71.099 776.00 119.562 47 1 785.99 76.626 851.85 71.700 652.00 119.562 48 1 968.60 77.485 1015.89 71.836 827.00 119.562 49 1 804.48 76.626 855.92 71.700 655.00 119.562 50 1 978.62 73.982 1006.10 71.099 821.00 119.562 51 1 827.05 69.327 850.03 69.152 661.00 119.562 52 1 1063.79 62.174 1051.89 62.658 889.00 119.562 53 1 740.62 62.174 745.82 62.658 567.00 119.562 54 1 1058.72 69.327 1018.38 69.152 895.00 119.562 55 1 879.12 73.982 814.90 71.099 725.00 119.562 56 1 1275.80 76.626 1143.31 71.700 1131.00 119.562 57 1 1040.74 77.485 898.51 71.836 905.00 119.562 58 1 1433.93 76.626 1261.64 71.700 1307.00 119.562 59 1 937.35 73.982 829.81 71.099 819.00 119.562 60 1 1034.98 69.327 950.41 69.152 925.00 119.562 61 1 1118.82 62.174 1054.44 62.658 1017.00 119.562 62 1 1012.92 61.491 980.66 62.524 923.00 119.562 63 1 1025.16 69.460 981.79 69.293 939.00 119.562 64 1 1018.56 76.045 971.90 72.640 936.00 119.562 65 1 994.11 81.625 948.62 78.291 915.00 119.562 66 1 1110.21 86.432 1171.91 78.584 1200.00 119.562 67 1 694.29 81.625 822.38 73.338 788.00 119.562 68 1 607.20 76.045 758.57 71.303 705.00 119.562 69 1 845.94 69.460 957.61 69.040 948.00 119.562 70 1 752.49 61.491 823.94 62.539 859.00 119.562 71 1 1229.65 62.174 1144.15 62.658 1347.00 119.562 72 1 1188.25 69.327 1083.76 69.152 1312.00 119.562 73 1 1160.62 73.982 1070.32 71.099 1291.00 119.562 74 1 1057.76 76.626 1010.76 71.700 1195.00 119.562 75 1 896.64 77.485 904.05 71.836 1041.00 119.562 76 1 944.26 76.626 984.35 71.700 1096.00 119.562 77 1 721.61 73.982 799.10 71.099 881.00 119.562 78 1 788.66 69.327 849.84 69.152 956.00 119.562 79 1 1075.41 62.174 1082.13 62.658 1251.00 119.562 80 1 593.96 62.174 704.41 62.658 771.00 119.562 81 1 813.75 69.327 964.40 69.152 984.00 119.562 82 1 737.23 73.982 929.04 71.099 901.00 119.562 83 1 558.41 76.626 782.35 71.700 716.00 119.562 84 1 725.31 77.485 926.47 71.836 877.00 119.562 85 1 762.93 76.626 932.05 71.700 909.00 119.562 86 1 775.28 73.982 904.13 71.099 916.00 119.562 87 1 1023.38 69.327 1093.78 69.152 1159.00 119.562 88 1 761.23 62.174 814.19 62.658 892.00 119.562 89 1 974.11 61.491 958.64 62.644 1095.00 119.562 90 1 1127.17 69.460 1105.26 69.136 1243.00 119.562 91 1 1078.01 76.045 1092.27 71.085 1189.00 119.562 92 1 920.64 81.625 1010.67 71.699 1027.00 119.562 93 1 503.09 86.432 684.62 71.886 605.00 119.562 94 1 613.35 90.621 800.48 71.928 711.00 119.562 95 1 802.43 94.303 946.60 71.923 896.00 119.562 96 1 933.34 97.562 1031.65 71.961 1023.00 119.562 97 1 946.09 100.461 1021.66 72.283 1032.00 119.562 98 1 837.68 103.051 909.90 73.700 920.00 119.562 99 1 974.12 105.373 1026.61 78.744 1053.00 119.562 100 1 867.02 97.562 925.93 78.735 951.00 119.562 101 1 880.36 94.303 927.24 73.680 968.00 119.562 102 1 884.54 90.621 907.70 72.238 976.00 119.562 103 1 1011.55 86.432 992.30 71.847 1107.00 119.562 104 1 1104.39 81.625 1049.79 71.611 1204.00 119.562 105 1 1044.04 76.045 978.46 71.016 1148.00 119.562 106 1 1170.51 69.460 1095.05 69.093 1279.00 119.562 107 1 1039.78 61.491 992.47 62.623 1153.00 119.562 108 1 936.86 62.174 934.74 62.658 1053.00 119.562 109 1 998.67 69.327 996.32 69.152 1113.00 119.562 110 1 968.27 73.982 974.01 71.099 1081.00 119.562 111 1 931.67 76.626 946.97 71.700 1043.00 119.562 112 1 918.86 77.485 936.85 71.836 1029.00 119.562 113 1 919.85 76.626 930.51 71.700 1029.00 119.562 114 1 944.64 73.982 935.74 71.099 1053.00 119.562 115 1 1131.24 69.327 1091.70 69.152 1239.00 119.562 116 1 1040.64 62.174 1008.44 62.658 1148.00 119.562 117 1 983.09 62.174 965.50 62.658 1089.00 119.562 118 1 932.15 69.327 908.52 69.152 1037.00 119.562 119 1 1095.02 73.982 1045.24 71.099 1199.00 119.562 120 1 1227.70 76.626 1174.70 71.700 1331.00 119.562 121 1 736.19 77.485 744.25 71.836 839.00 119.562 122 1 1006.50 76.626 1003.88 71.700 1109.00 119.562 123 1 941.61 73.982 939.37 71.099 1044.00 119.562 124 1 1038.54 69.327 1027.11 69.152 1141.00 119.562 125 1 909.29 62.174 906.91 62.658 1012.00 119.562 126 1 1043.77 61.978 1005.73 62.675 1141.00 119.562 127 1 1053.51 68.482 1001.53 69.151 1145.00 119.562 128 1 1129.09 72.087 1072.37 71.036 1215.00 119.562 129 1 939.52 73.246 909.94 71.454 1020.00 119.562 130 1 927.79 72.087 906.17 71.036 1003.00 119.562 131 1 1026.93 68.482 993.24 69.151 1097.00 119.562 132 1 1098.95 61.978 1060.82 62.675 1164.00 119.562 Av.SE: 73.117 68.994 118.507 Av.SED: 75.446 87.159 167.923 Av.LSD5%Test: 166.785 173.822 360.399 Av.LSD5%Check: 65.415 81.714 161.175 Av.LSD5%Chk_Test: 127.645 136.529 279.164 Av.LSD1%Test: 231.488 229.561 498.248 Av.LSD1%Check: 90.792 107.917 222.823 Av.LSD1%Chk_Test: 177.164 180.310 385.941 CV%: 13.30 12.89 12.37 ......................................................................................................... ****** Genotypic variability and significance, and experimental error variability ***** Trial Variable BestModelNo. ModelTitle Eff% Heritability SE-Heritability 2 phbr 2 CrdAr 220.62 0.572 0.112 a) Best model: Genotypes effects assumed fixed (case of BLUE- Best Linear Unbiased Estimation) Model Prob>Chi-square(Geno) DF(Geno) Sigma2(Residual) (+/-)SE DF(Residual) CrdAr 0 131.0 16.03 6.538 14.00 b) Best model: Genotypes effects assumed random (case of BLUP- Best Linear Unbiased Prediction) Model Sigma2(Geno) (+/-)SE Sigma2(Residual) (+/-)SE DF(Residual) CrdAr 50.35 8.612 37.69 14.20 144.0 Mean Genetic gains based on top 5%, 10% and 20% of selection GrandMn GainSel5% GainSel10% GainSel20% 37.32 29.66 25.23 20.13 c) CRD model: Genotypes effects assumed fixed (case of BLUE- Best Linear Unbiased Estimation) Model Prob>Chi-square(Geno) DF(Geno) Sigma2(Residual) (+/-)SE DF(Residual) CRD 0 131.0 14.90 5.268 15.00 ***** Predicted means and standard errors ***** Genotype Replicates BlueMn SeBlueMn BlupMn SeBlupMn UnadMn SeUnadMn 1 1 32.87 2.160 34.22 2.999 35.00 3.860 2 1 32.26 2.566 33.96 3.351 33.00 3.860 3 1 39.64 2.741 41.00 3.468 39.00 3.860 4 1 37.03 2.741 38.63 3.468 35.00 3.860 5 1 27.45 2.566 29.45 3.351 24.00 3.860 6 1 39.92 2.160 40.82 2.999 35.00 3.860 7 15 36.45 1.287 36.80 1.886 36.20 0.997 8 1 34.31 1.983 35.43 2.825 29.00 3.860 9 3 25.24 1.919 26.70 2.527 23.00 2.229 10 1 34.49 2.550 36.46 3.228 31.00 3.860 11 1 42.78 2.853 45.03 3.466 40.00 3.860 12 1 27.11 2.945 30.96 3.527 25.00 3.860 13 1 20.47 2.853 24.72 3.466 19.00 3.860 14 1 40.85 2.550 43.21 3.228 40.00 3.860 15 1 38.89 2.462 39.61 3.244 38.00 3.860 16 1 46.56 2.462 46.84 3.244 45.00 3.860 17 1 36.37 2.175 38.78 2.997 35.00 3.860 18 1 25.31 2.639 29.97 3.358 24.00 3.860 19 1 25.27 2.911 30.83 3.498 24.00 3.860 20 1 34.24 3.058 39.51 3.552 33.00 3.860 21 1 36.23 3.104 41.58 3.566 35.00 3.860 22 1 26.24 3.058 32.39 3.552 25.00 3.860 23 1 29.27 2.911 35.33 3.498 28.00 3.860 24 1 21.31 2.639 26.91 3.358 20.00 3.860 25 1 31.37 2.175 34.62 2.997 30.00 3.860 26 1 29.29 2.158 32.53 2.990 28.00 3.860 27 1 22.15 2.652 27.35 3.348 21.00 3.860 28 1 24.02 2.985 29.38 3.490 23.00 3.860 29 1 33.91 3.224 37.98 3.557 33.00 3.860 30 1 38.81 3.402 41.66 3.615 38.00 3.860 31 1 40.72 3.536 43.06 3.718 40.00 3.860 32 1 30.64 3.638 33.43 3.959 30.00 3.860 33 1 41.15 2.652 39.85 3.600 40.00 3.860 34 1 46.29 2.158 45.17 3.029 45.00 3.860 35 1 39.61 2.175 40.69 2.997 38.00 3.860 36 1 31.80 2.639 34.11 3.358 30.00 3.860 37 1 29.00 2.911 31.91 3.498 27.00 3.860 38 1 30.24 3.058 32.70 3.552 28.00 3.860 39 1 37.51 3.104 38.63 3.566 35.00 3.860 40 1 39.81 3.058 39.75 3.552 37.00 3.860 41 1 46.15 2.911 45.23 3.498 43.00 3.860 42 1 40.53 2.639 40.06 3.358 37.00 3.860 43 1 32.96 2.175 33.31 2.997 29.00 3.860 44 1 31.53 2.175 33.69 2.997 27.00 3.860 45 1 28.67 2.639 31.92 3.358 24.00 3.860 46 1 33.87 2.911 37.20 3.498 29.00 3.860 47 1 27.14 3.058 30.46 3.552 22.00 3.860 48 1 39.48 3.104 41.52 3.566 34.00 3.860 49 1 35.90 3.058 37.33 3.552 30.00 3.860 50 1 40.40 2.911 41.13 3.498 34.00 3.860 51 1 34.98 2.639 35.62 3.358 28.00 3.860 52 1 41.66 2.175 41.81 2.997 34.00 3.860 53 1 33.26 2.175 33.97 2.997 26.00 3.860 54 1 45.17 2.639 45.55 3.358 39.00 3.860 55 1 29.17 2.911 30.58 3.498 24.00 3.860 56 1 43.23 3.058 44.40 3.552 39.00 3.860 57 1 35.36 3.104 37.46 3.566 32.00 3.860 58 1 25.53 3.058 28.51 3.552 23.00 3.860 59 1 36.73 2.911 38.97 3.498 35.00 3.860 60 1 35.96 2.639 37.67 3.358 35.00 3.860 61 1 35.20 2.175 36.36 2.997 35.00 3.860 62 1 34.51 2.158 36.24 2.987 35.00 3.860 63 1 31.56 2.652 34.39 3.373 32.00 3.860 64 1 32.61 2.985 35.96 3.604 33.00 3.860 65 1 30.66 3.224 34.21 3.897 31.00 3.860 66 1 35.92 3.402 37.90 3.935 34.00 3.860 67 1 32.16 3.224 34.39 3.674 30.00 3.860 68 1 31.43 2.985 33.31 3.524 29.00 3.860 69 1 39.73 2.652 40.47 3.352 37.00 3.860 70 1 43.07 2.158 43.15 2.986 40.00 3.860 71 1 43.86 2.175 43.56 2.997 41.00 3.860 72 1 37.30 2.639 37.36 3.358 35.00 3.860 73 1 41.78 2.911 42.10 3.498 40.00 3.860 74 1 33.29 3.058 34.61 3.552 32.00 3.860 75 1 35.81 3.104 37.58 3.566 35.00 3.860 76 1 35.34 3.058 37.53 3.552 35.00 3.860 77 1 32.88 2.911 35.44 3.498 33.00 3.860 78 1 29.41 2.639 31.95 3.358 30.00 3.860 79 1 35.94 2.175 37.42 2.997 37.00 3.860 80 1 30.45 2.175 29.95 2.997 32.00 3.860 81 1 32.44 2.639 29.65 3.358 34.00 3.860 82 1 61.40 2.911 54.80 3.498 63.00 3.860 83 1 48.34 3.058 40.87 3.552 50.00 3.860 84 1 62.26 3.104 54.33 3.566 64.00 3.860 85 1 28.15 3.058 22.60 3.552 30.00 3.860 86 1 52.02 2.911 46.02 3.498 54.00 3.860 87 1 47.86 2.639 42.78 3.358 50.00 3.860 88 1 52.67 2.175 49.31 2.997 55.00 3.860 89 1 26.73 2.158 28.73 2.995 29.00 3.860 90 1 27.98 2.652 30.01 3.355 30.00 3.860 91 1 32.20 2.985 32.88 3.496 34.00 3.860 92 1 34.40 3.224 32.83 3.553 36.00 3.860 93 1 52.58 3.402 47.83 3.577 54.00 3.860 94 1 58.74 3.536 52.52 3.586 60.00 3.860 95 1 43.88 3.638 38.72 3.592 45.00 3.860 96 1 36.00 3.718 31.97 3.603 37.00 3.860 97 1 39.11 3.779 35.10 3.636 40.00 3.860 98 1 46.21 3.827 41.65 3.728 47.00 3.860 99 1 45.30 3.865 40.79 3.965 46.00 3.860 100 1 43.61 3.718 40.02 3.962 45.00 3.860 101 1 58.43 3.638 54.76 3.724 60.00 3.860 102 1 28.24 3.536 27.45 3.626 30.00 3.860 103 1 29.02 3.402 29.23 3.583 31.00 3.860 104 1 33.78 3.224 33.44 3.550 36.00 3.860 105 1 45.50 2.985 43.81 3.490 48.00 3.860 106 1 46.19 2.652 44.18 3.350 49.00 3.860 107 1 43.84 2.158 42.60 2.992 47.00 3.860 108 1 41.64 2.175 38.76 2.997 45.00 3.860 109 1 49.79 2.639 43.79 3.358 53.00 3.860 110 1 48.90 2.911 40.73 3.498 52.00 3.860 111 1 64.96 3.058 55.02 3.552 68.00 3.860 112 1 49.98 3.104 41.19 3.566 53.00 3.860 113 1 44.96 3.058 37.78 3.552 48.00 3.860 114 1 38.90 2.911 33.20 3.498 42.00 3.860 115 1 53.79 2.639 48.65 3.358 57.00 3.860 116 1 44.64 2.175 41.91 2.997 48.00 3.860 117 1 46.56 2.175 45.63 2.997 50.00 3.860 118 1 36.63 2.639 35.77 3.358 40.00 3.860 119 1 36.65 2.911 35.48 3.498 40.00 3.860 120 1 34.63 3.058 32.68 3.552 38.00 3.860 121 1 46.56 3.104 42.87 3.566 50.00 3.860 122 1 46.44 3.058 41.85 3.552 50.00 3.860 123 1 53.27 2.911 48.43 3.498 57.00 3.860 124 1 41.05 2.639 37.76 3.358 45.00 3.860 125 1 43.78 2.175 41.96 2.997 48.00 3.860 126 1 39.76 2.168 38.33 2.999 44.00 3.860 127 1 54.01 2.600 50.86 3.356 58.00 3.860 128 1 49.21 2.820 46.60 3.487 53.00 3.860 129 1 37.36 2.888 36.81 3.521 41.00 3.860 130 1 29.45 2.820 30.77 3.487 33.00 3.860 131 1 30.50 2.600 32.42 3.356 34.00 3.860 132 1 31.50 2.168 33.06 2.999 35.00 3.860 Av.SE: 2.789 3.382 3.826 Av.SED: 3.601 4.100 5.421 Av.LSD5%Test: 7.884 8.192 11.635 Av.LSD5%Check: 3.260 3.726 5.204 Av.LSD5%Chk_Test: 6.071 6.399 9.013 Av.LSD1%Test: 10.942 10.818 16.086 Av.LSD1%Check: 4.524 4.921 7.194 Av.LSD1%Chk_Test: 8.426 8.450 12.460 CV%: 10.73 16.45 10.34 .........................................................................................................