Computer and Biometric Services Unit International Center for Agricultural Research in the Dry Areas (ICARDA) P.O. Box 5466, Aleppo, Syria (Program updated 15-June-2015, Amman, Jordan) Online BioComputing Service ......... Date(D/M/Y) : 22 / 5 / 2015 Time : 17 hr 7 min Summary of the analysis of the data from similar trials conducted in Incomplete Block Designs ..................................................................................................................... ..................... 1. Trials and parameters of the designs, references and notations No. of similar trials................. = 2 No. of replications................... = 2 No. of incomplete blocks in each rep.. = 6 No. of genotypes/treatments........... = 120 No. of plots in each trial............ = 240 Variables analyzed.....................: DH, YldKgHa References: A. Sarker and M. Singh (2015). Field Crops Res. 179:26-34 H.-P. Piepho and J. Möhring (2007). Genetics 177: 1881-1888. B. R. Cullis et al. (2006). J. Agric. Biol. Environ. Stat. 11: 381-393. Singh M. and S. Ceccarelli (1995).Theor Appl Genet. 90: 142-145. Notations: IBD_Eff% : % Efficiency of the incomplete block design over the complete block design P_value : Probability of (Chi-square > Wald stat value| no genotypic effect) h2(bs_plot): plot basis heritability in broad sense h2(bs_mean): mean basis heritability in broad sense h2C : heritability from Cullis et al. (2006); mean basis and broad sense h2(Ad_hoc) : heritability from Piepho & Möhring (2007); mean basis and broad sense GG_x% : % Genetic gain for the x estimate of heritability BLUE/BLUP : Best linear unbiased estimate/predictor-estimate CV% : Coefficient of (residual) variation Av_SE, Av_SED, Av_LSD: Average standard error, SE of difference, least significance difference, respectively .................................................................................... 2. Trial-wise summary ............................................................... 1. Grand mean, P_value for overall genotype effects, efficiency of incomplete blocks Trial Variable Grand_Mean P_value IBD_Eff% 1 DH 129.0 0 100.4 2. Heritability Heritability h2(bs_plot) h2(bs_mean) h2C h2(Ad_hoc) Estimate 0.6643 0.7983 0.7983 0.7989 Std_Error 0.05122 0.03699 3. Genetic Gains Sel._Intensity% GG_h2(bs_mean)% GG_h2C% GG_h2(Ad_hoc)% 5 4.045 4.045 4.046 10 3.441 3.441 3.443 20 2.745 2.745 2.746 4. Genotypes means, SE, CV%, LSDs(at alpha%=) 5.000 Genotype BLUE BLUP Unadjusted means 1 130.96 130.60 131.00 2 131.83 131.39 132.00 3 127.06 127.40 127.00 4 126.06 126.60 126.00 5 127.00 127.40 127.00 6 127.98 128.20 128.00 7 127.01 127.40 127.00 8 127.97 128.20 128.00 9 126.95 127.40 127.00 10 129.09 129.00 129.00 11 127.15 127.40 127.00 12 131.15 130.60 131.00 13 129.10 129.00 129.00 14 129.86 129.80 130.00 15 128.01 128.20 128.00 16 128.06 128.20 128.00 17 127.91 128.20 128.00 18 127.83 128.20 128.00 19 133.34 132.59 133.50 20 125.45 126.21 125.50 21 125.07 125.81 125.00 22 125.00 125.81 125.00 23 127.07 127.40 127.00 24 131.18 130.60 131.00 25 126.95 127.40 127.00 26 127.00 127.40 127.00 27 129.94 129.80 130.00 28 128.54 128.60 128.50 29 126.57 127.00 126.50 30 129.00 129.00 129.00 31 134.34 133.39 134.50 32 127.18 127.40 127.00 33 123.94 125.01 124.00 34 126.94 127.40 127.00 35 125.51 126.21 125.50 36 129.06 129.00 129.00 37 127.99 128.20 128.00 38 127.01 127.40 127.00 39 129.01 129.00 129.00 40 129.95 129.80 130.00 41 127.01 127.40 127.00 42 129.85 129.80 130.00 43 128.97 129.00 129.00 44 126.99 127.40 127.00 45 131.56 130.99 131.50 46 128.09 128.20 128.00 47 132.01 131.39 132.00 48 132.10 131.39 132.00 49 125.01 125.81 125.00 50 123.85 125.01 124.00 51 126.94 127.40 127.00 52 134.35 133.39 134.50 53 132.09 131.39 132.00 54 129.97 129.80 130.00 55 129.51 129.40 129.50 56 125.09 125.81 125.00 57 125.65 126.21 125.50 58 130.91 130.60 131.00 59 131.98 131.39 132.00 60 124.83 125.81 125.00 61 126.01 126.60 126.00 62 129.99 129.80 130.00 63 128.94 129.00 129.00 64 131.09 130.60 131.00 65 132.07 131.39 132.00 66 130.98 130.60 131.00 67 129.04 129.00 129.00 68 128.10 128.20 128.00 69 133.48 132.59 133.50 70 141.49 138.98 141.50 71 128.79 129.00 129.00 72 121.45 123.01 121.50 73 133.45 132.59 133.50 74 130.09 129.80 130.00 75 137.09 135.39 137.00 76 131.98 131.39 132.00 77 132.01 131.39 132.00 78 133.60 132.59 133.50 79 128.06 128.20 128.00 80 135.04 133.79 135.00 81 121.45 123.01 121.50 82 124.99 125.81 125.00 83 126.54 127.00 126.50 84 136.00 134.59 136.00 85 131.06 130.60 131.00 86 129.00 129.00 129.00 87 127.44 127.80 127.50 88 125.84 126.60 126.00 89 126.94 127.40 127.00 90 136.07 134.59 136.00 91 131.79 131.39 132.00 92 132.10 131.39 132.00 93 128.07 128.20 128.00 94 128.06 128.20 128.00 95 130.09 129.80 130.00 96 128.98 129.00 129.00 97 130.09 129.80 130.00 98 131.98 131.39 132.00 99 130.04 129.80 130.00 100 128.07 128.20 128.00 101 129.10 129.00 129.00 102 127.00 127.40 127.00 103 128.01 128.20 128.00 104 131.07 130.60 131.00 105 128.06 128.20 128.00 106 127.86 128.20 128.00 107 130.86 130.60 131.00 108 129.15 129.00 129.00 109 132.41 131.79 132.50 110 127.95 128.20 128.00 111 128.98 129.00 129.00 112 119.86 121.81 120.00 113 126.00 126.60 126.00 114 128.01 128.20 128.00 115 128.96 129.00 129.00 116 131.18 130.60 131.00 117 131.99 131.39 132.00 118 129.09 129.00 129.00 119 125.97 126.60 126.00 120 127.06 127.40 127.00 Av_SE = 1.449 1.304 1.451 Av_SED = 2.009 1.798 2.013 Av_LSD = 3.978 3.543 3.986 CV% = 1.54 1.56 1.56 Res._DF = 117 235 118 ............................................................... 1. Grand mean, P_value for overall genotype effects, efficiency of incomplete blocks Trial Variable Grand_Mean P_value IBD_Eff% 1 YldKgHa 4946 0 100.5 2. Heritability Heritability h2(bs_plot) h2(bs_mean) h2C h2(Ad_hoc) Estimate 0.5193 0.6836 0.6789 0.6780 Std_Error 0.06795 0.05887 3. Genetic Gains Sel._Intensity% GG_h2(bs_mean)% GG_h2C% GG_h2(Ad_hoc)% 5 23.63 23.55 23.53 10 20.10 20.03 20.02 20 16.03 15.98 15.97 4. Genotypes means, SE, CV%, LSDs(at alpha%=) 5.000 Genotype BLUE BLUP Unadjusted means 1 4176.00 4442.07 4166.50 2 4351.80 4525.48 4416.50 3 5229.29 5120.87 5250.00 4 4998.82 4983.44 5000.00 5 5199.67 5109.72 5166.50 6 5204.06 5122.82 5167.00 7 5167.01 5119.78 5083.50 8 4406.47 4579.50 4416.50 9 4410.36 4592.26 4416.50 10 4967.68 4950.34 4916.50 11 5747.30 5474.22 5750.00 12 5997.30 5645.13 6000.00 13 5761.43 5479.72 5750.00 14 4065.25 4351.87 4083.50 15 5993.42 5639.10 6000.00 16 5582.32 5382.34 5583.50 17 5086.47 5066.31 5100.00 18 5851.80 5550.93 5916.50 19 3917.44 4238.56 3966.50 20 4660.86 4763.51 4667.00 21 4571.36 4689.62 4583.00 22 4596.45 4704.21 4583.50 23 5338.36 5213.96 5350.00 24 5585.49 5372.02 5583.00 25 5989.91 5658.65 6000.00 26 4512.95 4647.13 4500.00 27 4949.42 4923.15 5000.00 28 5314.47 5209.48 5333.50 29 4821.86 4860.87 4833.50 30 5246.45 5148.57 5233.50 31 5200.94 5116.01 5250.00 32 4168.99 4403.66 4166.50 33 4196.17 4445.64 4166.50 34 5363.17 5243.44 5333.50 35 5809.29 5539.32 5833.50 36 5032.32 5006.34 5033.50 37 6997.31 6335.49 7000.00 38 5333.51 5233.60 5250.00 39 5210.26 5136.09 5166.50 40 5489.91 5316.83 5500.00 41 4475.79 4627.70 4500.00 42 4764.91 4797.80 4833.50 43 4156.47 4408.60 4166.50 44 5469.70 5314.45 5417.00 45 5341.49 5217.92 5333.50 46 6067.97 5702.65 6083.50 47 3642.79 4058.23 3667.00 48 3268.32 3821.10 3233.50 49 5243.42 5126.38 5250.00 50 5097.91 5025.45 5166.50 51 5715.92 5447.16 5766.50 52 5631.41 5390.17 5700.00 53 5734.47 5474.66 5750.00 54 5322.97 5206.05 5333.00 55 3909.92 4214.75 3916.50 56 4754.00 4824.50 4750.00 57 5247.30 5132.40 5250.00 58 1836.47 2844.51 1850.00 59 6370.06 5919.93 6333.00 60 4768.30 4810.21 4833.00 61 5826.92 5525.28 5833.50 62 4886.20 4915.55 4833.50 63 4196.17 4445.64 4166.50 64 5967.68 5633.97 5916.50 65 4988.36 4974.69 5000.00 66 4920.06 4928.67 4883.00 67 5064.47 5038.57 5083.50 68 4451.32 4629.83 4416.50 69 6123.31 5785.58 6083.00 70 4247.31 4455.50 4250.00 71 4844.41 4874.09 4916.50 72 3576.86 4022.45 3583.00 73 5743.86 5503.88 5750.00 74 5171.00 5109.58 5167.00 75 4717.68 4779.43 4666.50 76 5540.31 5387.02 5500.00 77 5142.79 5083.68 5167.00 78 4534.82 4686.92 4500.00 79 4979.29 4949.97 5000.00 80 4397.47 4582.58 4416.50 81 3989.91 4291.38 4000.00 82 4580.31 4683.15 4583.00 83 4316.68 4507.08 4333.50 84 4012.95 4305.31 4000.00 85 4812.79 4836.14 4833.50 86 4679.45 4760.95 4666.50 87 4699.42 4752.24 4750.00 88 4784.44 4831.27 4833.50 89 5699.42 5435.88 5750.00 90 7046.63 6395.65 7017.00 91 4844.41 4874.09 4916.50 92 3678.43 4055.71 3667.00 93 4779.63 4845.85 4750.00 94 3924.49 4249.22 3916.50 95 4254.00 4482.69 4250.00 96 3620.06 4039.94 3583.00 97 4134.68 4380.88 4083.50 98 3540.31 4019.75 3500.00 99 4480.97 4639.67 4500.00 100 2213.13 3091.31 2183.50 101 5594.93 5365.90 5583.50 102 5866.17 5565.36 5833.00 103 4000.51 4322.32 3917.00 104 4112.63 4389.87 4083.00 105 4924.49 4932.85 4916.50 106 5314.75 5206.07 5333.00 107 4631.75 4739.15 4650.00 108 5830.30 5530.96 5833.00 109 5403.47 5283.03 5417.00 110 5489.91 5316.83 5500.00 111 4373.81 4589.56 4333.50 112 5498.25 5331.52 5516.50 113 5266.67 5155.53 5233.50 114 5200.01 5142.34 5116.50 115 5259.50 5182.79 5250.00 116 6668.99 6112.74 6666.50 117 6414.31 5936.93 6417.00 118 3984.47 4278.30 4000.00 119 5572.97 5376.96 5583.00 120 5398.82 5256.89 5400.00 Av_SE = 474.053 391.303 475.367 Av_SED = 667.724 549.090 669.511 Av_LSD = 1322.392 1081.769 1325.814 CV% = 13.37 13.33 13.54 Res._DF = 117 235 118 ............................................................... ............................................................... 1. Grand mean, P_value for overall genotype effects, efficiency of incomplete blocks Trial Variable Grand_Mean P_value IBD_Eff% 2 DH 134.3 0.4474 100.0 2. Heritability Heritability h2(bs_plot) h2(bs_mean) h2C h2(Ad_hoc) Estimate 0.005758 0.01145 0.01145 0.01145 Std_Error 0.09167 0.1812 3. Genetic Gains Sel._Intensity% GG_h2(bs_mean)% GG_h2C% GG_h2(Ad_hoc)% 5 0.9615 0.9615 0.9615 10 0.8181 0.8181 0.8181 20 0.6525 0.6525 0.6525 4. Genotypes means, SE, CV%, LSDs(at alpha%=) 5.000 Genotype BLUE BLUP Unadjusted means 1 132.15 134.31 132.00 2 128.00 134.27 128.00 3 122.50 134.21 122.50 4 133.50 134.33 133.50 5 128.00 134.27 128.00 6 129.00 134.28 129.00 7 136.85 134.37 137.00 8 124.15 134.22 124.00 9 132.15 134.31 132.00 10 130.00 134.29 130.00 11 130.00 134.29 130.00 12 137.00 134.37 137.00 13 128.00 134.27 128.00 14 122.35 134.21 122.50 15 130.00 134.29 130.00 16 130.00 134.29 130.00 17 133.65 134.33 133.50 18 131.00 134.30 131.00 19 127.50 134.26 127.50 20 125.65 134.24 125.50 21 129.00 134.28 129.00 22 135.00 134.35 135.00 23 132.00 134.31 132.00 24 132.00 134.31 132.00 25 131.00 134.30 131.00 26 131.00 134.30 131.00 27 121.50 134.19 121.50 28 136.00 134.36 136.00 29 129.00 134.28 129.00 30 128.00 134.27 128.00 31 131.00 134.30 131.00 32 132.00 134.31 132.00 33 128.00 134.27 128.00 34 125.00 134.23 125.00 35 129.00 134.28 129.00 36 128.00 134.27 128.00 37 128.50 134.27 128.50 38 133.35 134.33 133.50 39 131.35 134.31 131.50 40 129.00 134.28 129.00 41 130.00 134.29 130.00 42 130.00 134.29 130.00 43 130.15 134.29 130.00 44 129.00 134.28 129.00 45 132.65 134.32 132.50 46 135.00 134.35 135.00 47 126.50 134.25 126.50 48 127.85 134.27 128.00 49 132.00 134.31 132.00 50 130.00 134.29 130.00 51 127.50 134.26 127.50 52 131.00 134.30 131.00 53 125.50 134.24 125.50 54 125.15 134.23 125.00 55 131.50 134.31 131.50 56 121.00 134.19 121.00 57 130.00 134.29 130.00 58 129.15 134.28 129.00 59 123.50 134.22 123.50 60 127.00 134.26 127.00 61 133.50 134.33 133.50 62 130.00 134.29 130.00 63 132.00 134.31 132.00 64 131.00 134.30 131.00 65 127.00 134.26 127.00 66 128.00 134.27 128.00 67 129.00 134.28 129.00 68 121.35 134.19 121.50 69 727.50 141.13 727.50 70 132.00 134.31 132.00 71 129.00 134.28 129.00 72 128.15 134.27 128.00 73 129.15 134.28 129.00 74 126.00 134.25 126.00 75 125.50 134.24 125.50 76 128.00 134.27 128.00 77 126.50 134.25 126.50 78 126.85 134.26 127.00 79 131.00 134.30 131.00 80 125.00 134.23 125.00 81 133.50 134.33 133.50 82 129.00 134.28 129.00 83 124.00 134.22 124.00 84 131.50 134.31 131.50 85 132.50 134.32 132.50 86 131.00 134.30 131.00 87 133.50 134.33 133.50 88 129.00 134.28 129.00 89 131.50 134.31 131.50 90 135.85 134.36 136.00 91 127.50 134.26 127.50 92 133.00 134.33 133.00 93 133.35 134.33 133.50 94 127.15 134.26 127.00 95 128.00 134.27 128.00 96 128.00 134.27 128.00 97 132.00 134.31 132.00 98 130.00 134.29 130.00 99 129.00 134.28 129.00 100 123.85 134.22 124.00 101 133.50 134.33 133.50 102 130.00 134.29 130.00 103 130.85 134.30 131.00 104 128.85 134.28 129.00 105 125.15 134.23 125.00 106 129.85 134.29 130.00 107 126.85 134.26 127.00 108 131.00 134.30 131.00 109 129.15 134.28 129.00 110 128.00 134.27 128.00 111 125.00 134.23 125.00 112 127.35 134.26 127.50 113 126.50 134.25 126.50 114 133.35 134.33 133.50 115 131.15 134.30 131.00 116 131.00 134.30 131.00 117 131.00 134.30 131.00 118 129.00 134.28 129.00 119 128.15 134.27 128.00 120 130.00 134.29 130.00 Av_SE = 54.396 7.719 54.396 Av_SED = 76.910 8.229 76.910 Av_LSD = 152.316 16.213 152.302 CV% = 57.24 57.25 57.25 Res._DF = 117 235 118 ............................................................... 1. Grand mean, P_value for overall genotype effects, efficiency of incomplete blocks Trial Variable Grand_Mean P_value IBD_Eff% 2 YldKgHa 4798 0.000003907 100.00 2. Heritability Heritability h2(bs_plot) h2(bs_mean) h2C h2(Ad_hoc) Estimate 0.2562 0.4079 0.4079 0.4079 Std_Error 0.08565 0.1086 3. Genetic Gains Sel._Intensity% GG_h2(bs_mean)% GG_h2C% GG_h2(Ad_hoc)% 5 15.01 15.01 15.01 10 12.77 12.77 12.77 20 10.19 10.19 10.19 4. Genotypes means, SE, CV%, LSDs(at alpha%=) 5.000 Genotype BLUE BLUP Unadjusted means 1 2666.50 3928.35 2666.50 2 5343.50 5020.35 5343.50 3 4667.00 4744.39 4667.00 4 5583.00 5118.04 5583.00 5 5700.00 5165.77 5700.00 6 5666.50 5152.10 5666.50 7 6617.00 5539.83 6617.00 8 4667.00 4744.39 4667.00 9 5217.00 4968.75 5217.00 10 4916.50 4846.17 4916.50 11 4033.00 4485.77 4033.00 12 6133.00 5342.40 6133.00 13 4750.00 4778.25 4750.00 14 5000.00 4880.23 5000.00 15 4433.50 4649.14 4433.50 16 4466.50 4662.60 4466.50 17 3916.50 4438.25 3916.50 18 4833.00 4812.10 4833.00 19 4850.00 4819.04 4850.00 20 6333.00 5423.98 6333.00 21 4333.50 4608.35 4333.50 22 3767.00 4377.26 3767.00 23 5900.00 5247.35 5900.00 24 4667.00 4744.39 4667.00 25 3766.50 4377.06 3766.50 26 5916.50 5254.08 5916.50 27 3283.50 4180.03 3283.50 28 5416.50 5050.12 5416.50 29 5500.00 5084.19 5500.00 30 5750.00 5186.17 5750.00 31 4750.00 4778.25 4750.00 32 5817.00 5213.50 5817.00 33 3000.00 4064.39 3000.00 34 5200.00 4961.81 5200.00 35 4500.00 4676.27 4500.00 36 5166.50 4948.15 5166.50 37 5533.50 5097.85 5533.50 38 4417.00 4642.41 4417.00 39 4150.00 4533.50 4150.00 40 5083.50 4914.29 5083.50 41 5750.00 5186.17 5750.00 42 5716.50 5172.50 5716.50 43 5067.00 4907.56 5067.00 44 4500.00 4676.27 4500.00 45 5000.00 4880.23 5000.00 46 4683.50 4751.12 4683.50 47 4716.50 4764.58 4716.50 48 4833.50 4812.31 4833.50 49 5667.00 5152.31 5667.00 50 5267.00 4989.14 5267.00 51 5533.00 5097.65 5533.00 52 6167.00 5356.27 6167.00 53 2583.50 3894.49 2583.50 54 4666.50 4744.19 4666.50 55 4416.50 4642.21 4416.50 56 4417.00 4642.41 4417.00 57 5583.50 5118.25 5583.50 58 5583.50 5118.25 5583.50 59 4166.50 4540.23 4166.50 60 4533.50 4689.93 4533.50 61 4283.00 4587.75 4283.00 62 5916.50 5254.08 5916.50 63 3416.50 4234.29 3416.50 64 4916.50 4846.17 4916.50 65 4266.50 4581.02 4266.50 66 4166.50 4540.23 4166.50 67 4416.50 4642.21 4416.50 68 5166.50 4948.15 5166.50 69 4500.00 4676.27 4500.00 70 4416.50 4642.21 4416.50 71 5166.50 4948.15 5166.50 72 3933.50 4445.18 3933.50 73 3366.50 4213.89 3366.50 74 4000.00 4472.31 4000.00 75 5333.50 5016.27 5333.50 76 4500.00 4676.27 4500.00 77 3566.50 4295.48 3566.50 78 4616.50 4723.79 4616.50 79 5250.00 4982.21 5250.00 80 4833.00 4812.10 4833.00 81 5916.50 5254.08 5916.50 82 5083.00 4914.08 5083.00 83 5200.00 4961.81 5200.00 84 4600.00 4717.06 4600.00 85 4250.00 4574.29 4250.00 86 4366.50 4621.81 4366.50 87 4500.00 4676.27 4500.00 88 5866.50 5233.69 5866.50 89 5100.00 4921.02 5100.00 90 5517.00 5091.12 5517.00 91 5016.50 4886.96 5016.50 92 5033.50 4893.89 5033.50 93 4183.50 4547.16 4183.50 94 3316.50 4193.50 3316.50 95 4533.00 4689.73 4533.00 96 2267.00 3765.39 2267.00 97 5250.00 4982.21 5250.00 98 4366.50 4621.81 4366.50 99 4166.50 4540.23 4166.50 100 4083.50 4506.37 4083.50 101 3600.00 4309.14 3600.00 102 5583.50 5118.25 5583.50 103 6166.50 5356.06 6166.50 104 4750.00 4778.25 4750.00 105 4083.00 4506.17 4083.00 106 5300.00 5002.60 5300.00 107 4600.00 4717.06 4600.00 108 5833.50 5220.23 5833.50 109 3500.00 4268.35 3500.00 110 5083.00 4914.08 5083.00 111 3833.50 4404.39 3833.50 112 5233.50 4975.48 5233.50 113 2600.00 3901.22 2600.00 114 5450.00 5063.79 5450.00 115 6166.50 5356.06 6166.50 116 6183.00 5362.79 6183.00 117 4700.00 4757.85 4700.00 118 5533.50 5097.85 5533.50 119 5700.00 5165.77 5700.00 120 4616.50 4723.79 4616.50 Av_SE = 666.153 434.928 666.153 Av_SED = 931.255 594.779 931.255 Av_LSD = 1844.302 1171.780 1844.139 CV% = 19.41 19.41 19.41 Res._DF = 117 235 118 ............................................................... ...............................................................