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) : 7 / 7 / 2004 Time : 8 hr 56 min Summary of the analysis of a multi-location multi-year trial conducted in Complete Block Designs ..................................................................................................... ........computes stability parameters of Type 4 : C.S. Lin and M.R. Binns (1988). A method of analyzing cultivar x location x year experiments: a new stability parameter. Theo. Appl. Genet 76:425-430) ...................................................................................................... Notations GenoNum........ = Genotypes GenoMean....... = Genotype mean Slop........... = Slope on location index SeSlop......... = Standard error of Slop Prb1........... = Prob[t>|Slop-1|] significance level DeviMS......... = Deviation mean-square PrDeviMS....... = Prob[Chisq >DeviMS/PoolMS] significance level MSYr_Loc....... = mean-square due to year within locations PrMS_Yr........ = Prob[F>MSYr_Loc/(PoolMS/NRep)] TMP_CV1........ = (temporal) CVs of adjusted-means averaged over locations TMP_CV2........ = square-root of (average of (squares of temporal CVs of adjusted-means) ) ....................................................................................................... 1. Experiments and parameters of the designs ................................................... No. of locations/sites........... = 4 No. of years..................... = 4 No. of max. replications per envt. = 3 No. of genotypes................. = 25 No. of plots in each experiments = 1200 Variables analyzed................ : GYld, BYld ........................................................................... Variable = GYld ............................................................... ............................................................................ 2. Genotype - location means ............................................................... GenoNum MeanL[1] MeanL[2] MeanL[3] MeanL[4] GenoMean 1 1192 1345 1517 969.4 1256 2 1252 1439 1433 920.2 1261 3 1180 1393 1450 998.8 1255 4 1218 1378 1391 931.7 1230 5 1102 1468 1614 838.2 1255 6 1165 1494 1411 1166.5 1309 7 1207 1637 1419 928.7 1298 8 1248 1386 1517 1063.7 1304 9 1303 1536 1575 928.1 1336 10 1143 1482 1451 891.0 1242 11 1161 1515 1521 958.2 1289 12 1251 1401 1652 997.3 1325 13 1179 1490 1549 940.9 1290 14 1282 1444 1507 1114.1 1337 15 1216 1403 1410 1042.7 1268 16 1123 1419 1452 976.7 1243 17 1183 1434 1360 1031.1 1252 18 974 1505 1468 833.0 1195 19 1137 1338 1355 969.5 1200 20 1179 1358 1317 1087.7 1235 21 1248 1427 1388 1075.2 1285 22 1038 1199 1393 967.9 1149 23 1205 1323 1215 749.7 1123 24 921 1152 1305 1027.3 1101 25 1064 1191 1418 878.1 1138 .................................................................................... 3. Pooled error mean square ............................................................... Pooled D.F. 798.0 Pooled Error Mean-square 48123 .................................................................................... 4. Stability indices (slope, deviation mean-sq, year (within location) mean-sq) and ranks ............................................................... GenoNum GenoMean RankMean Slop SeSlop Prb1 DeviMS PrDeviMS RankDeviMS MSYr_Loc PrMS_Yr RankMSYr _Loc 1 1256 12 1.022 0.1798 0.4561 4734 0.7445 16 528370 0 17 2 1261 11 1.071 0.1814 0.3662 4816 0.7407 17 476176 0 9 3 1255 13 0.936 0.0301 0.0837 132 0.9918 3 453082 0 6 4 1230 19 0.946 0.1448 0.3723 3067 0.8260 14 548081 0 18 5 1255 14 1.582 0.1290 0.0229 2436 0.8592 11 523394 0 16 6 1309 4 0.685 0.2395 0.1597 8393 0.5928 18 567401 0 21 7 1298 6 1.277 0.3491 0.2554 17836 0.3294 24 431835 0 3 8 1304 5 0.858 0.1319 0.1973 2545 0.8533 12 504389 0 13 9 1336 2 1.324 0.1636 0.0931 3919 0.7833 15 497064 0 11 10 1242 17 1.257 0.1017 0.0637 1513 0.9100 10 523091 0 15 11 1289 8 1.251 0.0798 0.0441 933 0.9435 6 520295 0 14 12 1325 3 1.180 0.2747 0.2902 11047 0.5025 22 578582 0 22 13 1290 7 1.284 0.0225 0.0031 74 0.9954 2 500508 0 12 14 1337 1 0.794 0.0471 0.0243 325 0.9800 5 597706 0 24 15 1268 10 0.789 0.0388 0.0162 220 0.9864 4 550104 0 19 16 1243 16 1.039 0.0803 0.3367 945 0.9428 7 589519 0 23 17 1252 15 0.797 0.1368 0.1382 2740 0.8430 13 438864 0 5 18 1195 21 1.506 0.2496 0.0900 9120 0.5666 20 471489 0 8 19 1200 20 0.828 0.0191 0.0060 53 0.9967 1 402319 0 1 20 1235 18 0.552 0.0847 0.0170 1051 0.9366 8 464552 0 7 21 1285 9 0.708 0.0977 0.0479 1397 0.9166 9 551321 0 20 22 1149 22 0.783 0.2425 0.2325 8611 0.5848 19 437498 0 4 23 1123 24 0.999 0.4071 0.4992 24258 0.2210 25 406404 0 2 24 1101 25 0.568 0.3464 0.1693 17565 0.3350 23 671485 0 25 25 1138 23 0.964 0.2505 0.4493 9184 0.5643 21 477954 0 10 .................................................................................... 5. Stability indices (items in (4) and temporal %CV1,%CV2) and ranks ............................................................... GenoNum GenoMean RankMean Slop DeviMS RankDeviMS MSYr_Loc RankMSYr_Loc TMP_CV1 RankCV1 TMP_CV2 RankCV2 1 1256 12 1.022 4734 16 528370 17 58.53 19 58.87 19 2 1261 11 1.071 4816 17 476176 9 54.44 7 54.56 7 3 1255 13 0.936 132 3 453082 6 52.59 2 53.39 3 4 1230 19 0.946 3067 14 548081 18 59.89 21 60.69 21 5 1255 14 1.582 2436 11 523394 16 59.43 20 60.50 20 6 1309 4 0.685 8393 18 567401 21 57.94 15 58.22 15 7 1298 6 1.277 17836 24 431835 3 50.48 1 50.86 1 8 1304 5 0.858 2545 12 504389 13 54.75 8 54.85 8 9 1336 2 1.324 3919 15 497064 11 53.22 5 53.63 5 10 1242 17 1.257 1513 10 523091 15 60.92 23 62.67 23 11 1289 8 1.251 933 6 520295 14 56.69 12 57.08 10 12 1325 3 1.180 11047 22 578582 22 57.49 14 57.62 14 13 1290 7 1.284 74 2 500508 12 56.53 11 57.32 12 14 1337 1 0.794 325 5 597706 24 58.08 17 58.46 17 15 1268 10 0.789 220 4 550104 19 58.30 18 58.85 18 16 1243 16 1.039 945 7 589519 23 63.49 24 64.46 24 17 1252 15 0.797 2740 13 438864 5 53.21 4 53.56 4 18 1195 21 1.506 9120 20 471489 8 52.82 3 53.34 2 19 1200 20 0.828 53 1 402319 1 53.33 6 53.70 6 20 1235 18 0.552 1051 8 464552 7 55.13 9 55.35 9 21 1285 9 0.708 1397 9 551321 20 57.24 13 57.26 11 22 1149 22 0.783 8611 19 437498 4 57.98 16 58.29 16 23 1123 24 0.999 24258 25 406404 2 55.58 10 57.37 13 24 1101 25 0.568 17565 23 671485 25 70.80 25 74.94 25 25 1138 23 0.964 9184 21 477954 10 60.27 22 61.31 22 .................................................................................... 6. Correlations between stability indices ............................................................... Corr GenoMean 1.0000 Slop 0.2262 1.0000 DeviMS -0.4880 0.0189 1.0000 MSYr_Loc 0.1892 -0.1729 -0.0933 1.0000 TMP_CV1 -0.4043 -0.2604 0.1105 0.7683 1.0000 TMP_CV2 -0.4612 -0.2427 0.1758 0.7316 0.9925 1.0000 GenoMean Slop DeviMS MSYr_Loc TMP_CV1 TMP_CV2 .................................................................................... 7. Graphs of stability indices with mean ............................................................... -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 1.65 I I I I I I I 5 I I I I I 1.50 I 18 I I I I I I I I I I I 1.35 I I I 9 I I I I 13 7 I I 10 11 I I I 1.20 I I I 12 I I I I I I I I 2 I 1.05 I 16 I I 1 I I 23 I I 25 I I 4 I I 3 I 0.90 I I I I I 8 I I 19 I I 17 15 14 I I 22 I 0.75 I I I I I 21 I I 6 I I I I I 0.60 I I I 24 I I 20 I I I I I I I 0.45 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 1100.0 1125.0 1150.0 1175.0 1200.0 1225.0 1250.0 1275.0 1300.0 1325.0 1350.0 Slop v. GenoMean using factor GenoNum -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I 23 I 24000.0 I I I I I I I I I I I I 21000.0 I I I I I I I I I I I I 18000.0 I 7 I I 24 I I I I I I I I I 15000.0 I I I I I I I I I I I I 12000.0 I I I I I 12 I I I I I I I 9000.0 I 25 18 I I 22 6 I I I I I I I I I 6000.0 I I I I I 2 I I 1 I I 9 I I I 3000.0 I 4 I I 5 8 I I I I 10 21 I I 20 16 11 I I 14 I 0.0 I 19 3 15 13 I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 1100.0 1125.0 1150.0 1175.0 1200.0 1225.0 1250.0 1275.0 1300.0 1325.0 1350.0 DeviMS v. GenoMean using factor GenoNum Points coinciding with 5 17 -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 720000.0 I I I I I I I I I I I I 680000.0 I I I 24 I I I I I I I I I 640000.0 I I I I I I I I I I I I 600000.0 I 14 I I I I 16 I I 12 I I I I 6 I 560000.0 I I I 15 21 I I 4 I I I I I I 1 I 520000.0 I 10 11 I I I I 8 I I 13 9 I I I I I 480000.0 I 25 I I 18 2 I I 20 I I I I 3 I I I 440000.0 I 22 17 I I 7 I I I I I I I I 23 I 400000.0 I 19 I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 1100.0 1125.0 1150.0 1175.0 1200.0 1225.0 1250.0 1275.0 1300.0 1325.0 1350.0 MSYr_Loc v. GenoMean using factor GenoNum Points coinciding with 1 5 -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I 24 I I I 70.0 I I I I I I I I I I I I 67.5 I I I I I I I I I I I I 65.0 I I I I I I I I I 16 I I I 62.5 I I I I I I I I I 10 I I 25 I 60.0 I 4 I I 5 I I I I I I 1 15 I I 22 6 14 I 57.5 I 12 I I 21 I I 11 I I I I I I 23 I 55.0 I 20 I I 2 8 I I I I I I 19 17 9 I I 18 I 52.5 I 3 I I I I I I I I I I 7 I 50.0 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 1100.0 1125.0 1150.0 1175.0 1200.0 1225.0 1250.0 1275.0 1300.0 1325.0 1350.0 TMP_CV1 v. GenoMean using factor GenoNum Points coinciding with 11 13 ........................................................................... Variable = BYld ............................................................... ............................................................................ 2. Genotype - location means ............................................................... GenoNum MeanL[1] MeanL[2] MeanL[3] MeanL[4] GenoMean 1 5365 6145 6140 4660 5578 2 5261 6172 6798 4727 5740 3 5115 5827 6066 4858 5467 4 4999 5868 6479 4429 5444 5 4920 5990 7067 4880 5714 6 5280 6517 6455 5351 5901 7 5004 6126 7079 4251 5615 8 5008 5623 6573 4977 5545 9 5038 6111 6534 4676 5590 10 5223 6500 6322 4719 5691 11 4595 5503 6777 4749 5406 12 4783 5798 6814 4729 5531 13 5384 6229 6437 5177 5807 14 5290 6679 6408 4883 5815 15 5075 5894 7041 4853 5716 16 4796 5786 6676 4884 5536 17 5306 6109 6526 4584 5631 18 4942 6444 7015 4602 5751 19 5548 6122 6628 4512 5703 20 5385 5926 7378 4954 5911 21 5716 6662 6543 4744 5916 22 4886 5852 6618 3756 5278 23 5317 6406 6106 4242 5518 24 5366 5920 6152 5460 5724 25 5649 5416 6286 4756 5527 .................................................................................... 3. Pooled error mean square ............................................................... Pooled D.F. 798.0 Pooled Error Mean-square 469496 .................................................................................... 4. Stability indices (slope, deviation mean-sq, year (within location) mean-sq) and ranks ............................................................... GenoNum GenoMean RankMean Slop SeSlop Prb1 DeviMS PrDeviMS RankDeviMS MSYr_Loc PrMS_Yr RankMSYr _Loc 1 5578 16 0.801 0.1921 0.2042 78670 0.6051 11 1755056 0 1 2 5740 7 1.095 0.0265 0.0347 1497 0.9905 1 2911166 0 11 3 5467 22 0.676 0.0453 0.0095 4383 0.9724 3 2302871 0 5 4 5444 23 1.076 0.0394 0.0960 3303 0.9791 2 3889076 0 22 5 5714 10 1.190 0.2229 0.2416 105967 0.5084 18 2513320 0 7 6 5901 3 0.741 0.2183 0.1787 101682 0.5225 17 2955841 0 13 7 5615 14 1.471 0.0749 0.0122 11970 0.9264 5 3329453 0 17 8 5545 17 0.836 0.2083 0.2562 92521 0.5539 14 3309265 0 16 9 5590 15 1.036 0.0561 0.2937 6715 0.9580 4 3378475 0 18 10 5691 12 0.959 0.2445 0.4411 127554 0.4430 19 2813015 0 10 11 5406 24 1.091 0.3206 0.4016 219289 0.2469 24 3592451 0 20 12 5531 19 1.133 0.2060 0.2918 90479 0.5612 13 4069282 0 24 13 5807 5 0.727 0.0756 0.0344 12190 0.9251 6 3222305 0 14 14 5815 4 0.949 0.2751 0.4345 161393 0.3570 20 3540868 0 19 15 5716 9 1.137 0.2097 0.2904 93825 0.5493 15 3682441 0 21 16 5536 18 1.000 0.2168 0.4995 100230 0.5273 16 3249773 0 15 17 5631 13 1.012 0.1060 0.4609 23983 0.8579 8 2634550 0 9 18 5751 6 1.370 0.1074 0.0375 24615 0.8545 9 2215099 0 4 19 5703 11 1.037 0.2055 0.4371 90050 0.5627 12 2024264 0 2 20 5911 2 1.182 0.2920 0.2981 181801 0.3135 22 3954508 0 23 21 5916 1 0.970 0.2887 0.4638 177814 0.3216 21 2554038 0 8 22 5278 25 1.446 0.1762 0.0634 66194 0.6552 10 2926193 0 12 23 5518 21 1.025 0.3624 0.4753 280080 0.1677 25 2415161 0 6 24 5724 8 0.421 0.0970 0.0135 20064 0.8797 7 5042863 0 25 25 5527 20 0.618 0.2996 0.1650 191454 0.2948 23 2174716 0 3 .................................................................................... 5. Stability indices (items in (4) and temporal %CV1,%CV2) and ranks ............................................................... GenoNum GenoMean RankMean Slop DeviMS RankDeviMS MSYr_Loc RankMSYr_Loc TMP_CV1 RankCV1 TMP_CV2 RankCV2 1 5578 16 0.801 78670 11 1755056 1 22.99 2 24.19 1 2 5740 7 1.095 1497 1 2911166 11 27.27 8 29.11 9 3 5467 22 0.676 4383 3 2302871 5 26.23 6 27.75 6 4 5444 23 1.076 3303 2 3889076 22 34.26 22 36.24 22 5 5714 10 1.190 105967 18 2513320 7 27.89 10 28.55 8 6 5901 3 0.741 101682 17 2955841 13 29.34 11 29.53 11 7 5615 14 1.471 11970 5 3329453 17 29.73 12 32.02 15 8 5545 17 0.836 92521 14 3309265 16 32.81 21 33.86 21 9 5590 15 1.036 6715 4 3378475 18 31.64 17 32.47 16 10 5691 12 0.959 127554 19 2813015 10 29.86 13 30.47 12 11 5406 24 1.091 219289 24 3592451 20 34.63 23 37.10 24 12 5531 19 1.133 90479 13 4069282 24 36.44 24 36.62 23 13 5807 5 0.727 12190 6 3222305 14 30.78 14 31.00 13 14 5815 4 0.949 161393 20 3540868 19 31.49 16 32.95 17 15 5716 9 1.137 93825 15 3682441 21 32.10 18 33.16 19 16 5536 18 1.000 100230 16 3249773 15 32.14 19 33.60 20 17 5631 13 1.012 23983 8 2634550 9 26.80 7 28.04 7 18 5751 6 1.370 24615 9 2215099 4 24.16 3 25.36 3 19 5703 11 1.037 90050 12 2024264 2 22.44 1 24.28 2 20 5911 2 1.182 181801 22 3954508 23 32.23 20 33.04 18 21 5916 1 0.970 177814 21 2554038 8 25.16 5 26.21 5 22 5278 25 1.446 66194 10 2926193 12 30.86 15 31.91 14 23 5518 21 1.025 280080 25 2415161 6 27.58 9 29.13 10 24 5724 8 0.421 20064 7 5042863 25 38.63 25 40.25 25 25 5527 20 0.618 191454 23 2174716 3 24.90 4 25.63 4 .................................................................................... 6. Correlations between stability indices ............................................................... Corr GenoMean 1.0000 Slop -0.1592 1.0000 DeviMS 0.0485 -0.0255 1.0000 MSYr_Loc 0.0521 -0.0614 -0.1264 1.0000 TMP_CV1 -0.1637 -0.0578 -0.0556 0.9478 1.0000 TMP_CV2 -0.2117 -0.0265 -0.0611 0.9461 0.9892 1.0000 GenoMean Slop DeviMS MSYr_Loc TMP_CV1 TMP_CV2 .................................................................................... 7. Graphs of stability indices with mean ............................................................... -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 1.50 I I I 7 I I 22 I I I I I I 18 I 1.35 I I I I I I I I I I I I 1.20 I 5 I I 2 I I I I 12 15 I I 11 2 I I 4 I 1.05 I I I 23 9 19 I I 16 17 I I 2I I 10 14 I I I 0.90 I I I I I I I 8 I I 1 I I I 0.75 I 6 I I 13 I I I I 3 I I I I 25 I 0.60 I I I I I I I I I I I I 0.45 I I I 24 I I I I I I I I I 0.30 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 5120.0 5200.0 5280.0 5360.0 5440.0 5520.0 5600.0 5680.0 5760.0 5840.0 5920.0 Slop v. GenoMean using factor GenoNum -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 320000.0 I I I I I I I I I I I I 280000.0 I 23 I I I I I I I I I I I 240000.0 I I I I I I I 11 I I I I I 200000.0 I I I 25 I I I I 22I I I I I 160000.0 I 14 I I I I I I I I I I 10 I 120000.0 I I I I I 5 I I 16 6 I I 128 15 I I I 80000.0 I 1 I I I I 22 I I I I I I I 40000.0 I I I I I 17 18 I I 24 I I 7 13 I I 3 9 I 0.0 I 4 2 I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 5120.0 5200.0 5280.0 5360.0 5440.0 5520.0 5600.0 5680.0 5760.0 5840.0 5920.0 DeviMS v. GenoMean using factor GenoNum Points coinciding with 15 19 -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 5500000.0 I I I I I I I I I I I 24 I 5000000.0 I I I I I I I I I I I I 4500000.0 I I I I I I I I I I I 12 I 4000000.0 I I I 4 2 I I I I I I 15 I I 11 I 3500000.0 I 14 I I 9 I I 8 7 I I 16 13 I I I I I 3000000.0 I I I 22 2 6 I I 10 I I I I 17 I I 2I 2500000.0 I 5 I I 23 I I 3 I I 18 I I 25 I I I 2000000.0 I 19 I I I I I I 1 I I I I I 1500000.0 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 5120.0 5200.0 5280.0 5360.0 5440.0 5520.0 5600.0 5680.0 5760.0 5840.0 5920.0 MSYr_Loc v. GenoMean using factor GenoNum -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I 24 I I I 38.0 I I I I I I I I I I I 12 I 36.0 I I I I I I I I I 11 I I 4 I 34.0 I I I I I I I I I 8 I I 2 I 32.0 I 16 15 I I 9 I I 14 I I 22 I I 13 I I I 30.0 I 10 I I 7 I I 6 I I I I I I I 28.0 I 5 I I 23 I I 2 I I I I 17 I I 3 I 26.0 I I I I I I I 25 2I I I I I 24.0 I 18 I I I I I I 1 I I I I 19 I 22.0 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 5120.0 5200.0 5280.0 5360.0 5440.0 5520.0 5600.0 5680.0 5760.0 5840.0 5920.0 TMP_CV1 v. GenoMean using factor GenoNum