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 55 min Summary of the analysis of a multi-location multi-year trial conducted in Incomplete 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 incomplete blocks per rep. = 5 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 1199 1351 1549 1003.2 1276 2 1267 1422 1417 923.5 1257 3 1130 1419 1461 972.3 1245 4 1229 1392 1412 924.5 1239 5 1112 1465 1572 857.8 1252 6 1141 1487 1381 1132.7 1285 7 1201 1636 1422 936.5 1299 8 1218 1361 1529 1065.7 1293 9 1300 1550 1565 915.1 1333 10 1158 1467 1445 874.2 1236 11 1173 1527 1541 975.7 1304 12 1214 1385 1659 1008.3 1317 13 1203 1497 1543 962.6 1302 14 1268 1453 1498 1097.6 1329 15 1208 1400 1413 1018.2 1259 16 1117 1412 1448 940.0 1229 17 1191 1432 1365 1009.1 1250 18 1000 1485 1473 845.5 1201 19 1154 1366 1356 969.4 1211 20 1186 1373 1306 1098.5 1241 21 1256 1414 1398 1085.8 1288 22 1033 1195 1371 933.2 1133 23 1211 1320 1222 797.1 1137 24 920 1144 1331 1046.6 1111 25 1081 1204 1409 892.8 1147 .................................................................................... 3. Pooled error mean square ............................................................... Pooled D.F. 797.0 Pooled Error Mean-square 40107 .................................................................................... 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 1276 10 1.004 0.2111 0.4931 6524 0.6140 19 551803 0 21 2 1257 12 1.017 0.2088 0.4710 6382 0.6206 18 471956 0 8 3 1245 15 1.055 0.0678 0.2511 672 0.9510 6 471142 0 7 4 1239 17 0.997 0.1543 0.4929 3486 0.7705 13 522127 0 16 5 1252 13 1.481 0.0833 0.0143 1015 0.9269 9 515910 0 14 6 1285 9 0.715 0.2566 0.1913 9641 0.4865 21 548975 0 19 7 1299 6 1.268 0.3423 0.2579 17150 0.2778 23 412407 0 3 8 1293 7 0.859 0.1785 0.2568 4666 0.7055 15 517457 0 15 9 1333 1 1.354 0.1735 0.0892 4406 0.7193 14 498827 0 11 10 1236 18 1.256 0.1037 0.0663 1575 0.8889 10 496046 0 10 11 1304 4 1.251 0.0792 0.0433 918 0.9337 8 533126 0 17 12 1317 3 1.170 0.3027 0.3154 13414 0.3671 22 566348 0 22 13 1302 5 1.230 0.0005 0.0000 0 1.0000 1 515243 0 13 14 1329 2 0.830 0.0219 0.0081 70 0.9948 2 594990 0 24 15 1259 11 0.841 0.0423 0.0320 262 0.9806 3 536093 0 18 16 1229 19 1.099 0.0530 0.1018 411 0.9697 4 576748 0 23 17 1250 14 0.839 0.1305 0.1715 2494 0.8298 12 451117 0 5 18 1201 21 1.455 0.2037 0.0777 6071 0.6352 16 483947 0 9 19 1211 20 0.850 0.0587 0.0623 504 0.9630 5 401114 0 1 20 1241 16 0.530 0.1163 0.0281 1981 0.8623 11 463442 0 6 21 1288 8 0.682 0.0739 0.0250 799 0.9420 7 549656 0 20 22 1133 24 0.819 0.2064 0.2362 6233 0.6275 17 444387 0 4 23 1137 23 0.912 0.3691 0.4170 19938 0.2257 24 404052 0 2 24 1111 25 0.557 0.3903 0.1872 22293 0.1894 25 667659 0 25 25 1147 22 0.929 0.2241 0.3911 7348 0.5774 20 500881 0 12 .................................................................................... 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 1276 10 1.004 6524 19 551803 21 58.97 20 59.34 19 2 1257 12 1.017 6382 18 471956 8 54.42 6 54.51 6 3 1245 15 1.055 672 6 471142 7 54.91 8 55.61 8 4 1239 17 0.997 3486 13 522127 16 57.74 16 58.39 17 5 1252 13 1.481 1015 9 515910 14 58.50 19 59.41 20 6 1285 9 0.715 9641 21 548975 19 57.92 17 58.21 16 7 1299 6 1.268 17150 23 412407 3 49.30 1 49.62 1 8 1293 7 0.859 4666 15 517457 15 56.07 10 56.24 9 9 1333 1 1.354 4406 14 498827 11 53.37 3 53.80 3 10 1236 18 1.256 1575 10 496046 10 59.77 22 61.78 22 11 1304 4 1.251 918 8 533126 17 56.40 11 56.70 11 12 1317 3 1.170 13414 22 566348 22 57.34 14 57.46 13 13 1302 5 1.230 0 1 515243 13 56.82 12 57.61 14 14 1329 2 0.830 70 2 594990 24 58.32 18 58.72 18 15 1259 11 0.841 262 3 536093 18 57.63 15 58.17 15 16 1229 19 1.099 411 4 576748 23 63.50 24 64.34 24 17 1250 14 0.839 2494 12 451117 5 54.09 5 54.46 5 18 1201 21 1.455 6071 16 483947 9 53.78 4 54.32 4 19 1211 20 0.850 504 5 401114 1 52.61 2 53.07 2 20 1241 16 0.530 1981 11 463442 6 54.97 9 55.19 7 21 1288 8 0.682 799 7 549656 20 57.04 13 57.07 12 22 1133 24 0.819 6233 17 444387 4 59.43 21 59.76 21 23 1137 23 0.912 19938 24 404052 2 54.85 7 56.26 10 24 1111 25 0.557 22293 25 667659 25 69.53 25 74.03 25 25 1147 22 0.929 7348 20 500881 12 61.02 23 62.04 23 .................................................................................... 6. Correlations between stability indices ............................................................... Corr GenoMean 1.0000 Slop 0.3079 1.0000 DeviMS -0.4098 -0.1470 1.0000 MSYr_Loc 0.1489 -0.1694 0.0360 1.0000 TMP_CV1 -0.4421 -0.3057 0.1608 0.7645 1.0000 TMP_CV2 -0.4940 -0.2925 0.2332 0.7312 0.9899 1.0000 GenoMean Slop DeviMS MSYr_Loc TMP_CV1 TMP_CV2 .................................................................................... 7. Graphs of stability indices with mean ............................................................... -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I 5 I I 18 I 1.44 I I I I I I I I I 9 I I I 1.32 I I I I I I I 10 7 11 I I I I 13 I 1.20 I I I 12 I I I I I I I I 16 I 1.08 I I I 3 I I I I 2 I I 4 1 I I I 0.96 I I I I I 23 25 I I I I I I 8 I 0.84 I 19 17 15 14 I I 22 I I I I I I I I I 0.72 I 6 I I I I 21 I I I I I I I 0.60 I I I I I 24 I I I I 20 I I I 0.48 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 I 24000.0 I I I I I I I 24 I I I I I 21000.0 I I I I I 23 I I I I I I I 18000.0 I I I I I 7 I I I I I I I 15000.0 I I I I I I I 12 I I I I I 12000.0 I I I I I I I I I I I 6 I 9000.0 I I I I I I I 25 I I I I 2 1 I 6000.0 I 22 18 I I I I I I 8 9 I I I I 4 I 3000.0 I I I 17 I I 20 I I 10 I I 5 21 11 I I 19 16 3 15 I 0.0 I 13 14 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 -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 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 I I 24 I I I I I I I 640000.0 I I I I I I I I I I I I 600000.0 I I I 14 I I I I 16 I I I I 12 I 560000.0 I I I 1 I I 621 I I I I 15 11 I I I 520000.0 I 4 8 I I 5 13 I I I I 25 9 I I 10 I I 18 I 480000.0 I I I 3 2 I I 20 I I I I 17 I I 22 I 440000.0 I I I I I I I I I 7 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 -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 72.0 I I I I I I I I I I I 24 I 69.0 I I I I I I I I I I I I 66.0 I I I I I I I I I I I 16 I 63.0 I I I I I I I I I 25 I I I 60.0 I 10 I I 22 I I 1 I I 5 14 I I 6 I I 4 15 12 I 57.0 I 21 13 I I 11 I I 8 I I I I 23 203 I I 2 I 54.0 I 18 17 I I 9 I I I I 19 I I I I I 51.0 I I I I I I I 7 I I I I I 48.0 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 ........................................................................... Variable = BYld ............................................................... ............................................................................ 2. Genotype - location means ............................................................... GenoNum MeanL[1] MeanL[2] MeanL[3] MeanL[4] GenoMean 1 5338 6160 6256 4835 5647 2 5269 6132 6670 4716 5697 3 4945 5849 6187 4794 5444 4 5022 5845 6475 4446 5447 5 4954 5974 7030 4912 5718 6 5283 6557 6393 5298 5883 7 5041 6159 6991 4331 5630 8 4933 5598 6548 5005 5521 9 5111 6185 6543 4657 5624 10 5235 6475 6282 4675 5667 11 4607 5587 6749 4818 5440 12 4775 5738 6887 4673 5518 13 5389 6162 6459 5159 5792 14 5221 6665 6333 4877 5774 15 5068 5842 7101 4777 5697 16 4826 5800 6640 4806 5518 17 5285 6109 6397 4539 5583 18 5047 6390 7031 4614 5771 19 5563 6153 6721 4484 5730 20 5416 5915 7341 4899 5893 21 5687 6678 6564 4688 5904 22 4894 5849 6684 3723 5287 23 5322 6456 6131 4333 5561 24 5324 5852 6250 5529 5739 25 5697 5495 6256 4827 5569 .................................................................................... 3. Pooled error mean square ............................................................... Pooled D.F. 797.0 Pooled Error Mean-square 374792 .................................................................................... 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 5647 13 0.788 0.1251 0.1158 33390 0.7655 8 1974254 0 1 2 5697 11 1.033 0.0371 0.2334 2934 0.9768 1 2803083 0 11 3 5444 23 0.799 0.0769 0.0603 12613 0.9040 7 2417150 0 5 4 5447 22 1.058 0.0488 0.1774 5086 0.9601 3 3759390 0 22 5 5718 9 1.149 0.2182 0.2826 101541 0.4440 14 2418406 0 6 6 5883 3 0.743 0.2368 0.1954 119637 0.3842 18 2850314 0 12 7 5630 14 1.396 0.0501 0.0078 5361 0.9580 4 3124918 0 14 8 5521 19 0.824 0.2292 0.2614 112052 0.4082 16 3420545 0 18 9 5624 15 1.047 0.0703 0.2867 10548 0.9190 6 3284697 0 17 10 5667 12 0.952 0.2505 0.4332 133843 0.3430 19 2593139 0 10 11 5440 24 1.063 0.3077 0.4280 201991 0.1992 24 3716131 0 21 12 5518 20 1.179 0.2276 0.2566 110494 0.4133 15 3838510 0 23 13 5792 4 0.730 0.0458 0.0138 4472 0.9648 2 3268631 0 15 14 5774 5 0.930 0.2953 0.4178 185926 0.2264 23 3516725 0 19 15 5697 10 1.187 0.2319 0.2527 114699 0.3997 17 3700756 0 20 16 5518 21 1.014 0.1768 0.4729 66698 0.5865 11 3271861 0 16 17 5583 16 0.978 0.1358 0.4427 39335 0.7300 9 2507811 0 8 18 5771 6 1.338 0.0585 0.0144 7311 0.9432 5 2382778 0 4 19 5730 8 1.093 0.2117 0.3513 95593 0.4656 13 2031863 0 2 20 5893 2 1.180 0.2833 0.2951 171236 0.2545 21 3992561 0 24 21 5904 1 1.013 0.2951 0.4842 185753 0.2267 22 2555599 0 9 22 5287 25 1.488 0.1860 0.0599 73792 0.5542 12 2926028 0 13 23 5561 18 1.007 0.3521 0.4933 264483 0.1211 25 2448490 0 7 24 5739 7 0.432 0.1469 0.0304 46048 0.6918 10 5038145 0 25 25 5569 17 0.580 0.2775 0.1345 164236 0.2692 20 2239017 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 5647 13 0.788 33390 8 1974254 1 24.23 2 25.53 2 2 5697 11 1.033 2934 1 2803083 11 27.01 7 28.79 8 3 5444 23 0.799 12613 7 2417150 5 27.37 9 28.99 10 4 5447 22 1.058 5086 3 3759390 22 33.57 21 35.45 22 5 5718 9 1.149 101541 14 2418406 6 27.26 8 27.84 7 6 5883 3 0.743 119637 18 2850314 12 28.85 13 29.02 11 7 5630 14 1.396 5361 4 3124918 14 28.71 11 30.92 13 8 5521 19 0.824 112052 16 3420545 18 33.59 22 34.72 21 9 5624 15 1.047 10548 6 3284697 17 31.08 15 31.98 16 10 5667 12 0.952 133843 19 2593139 10 28.82 12 29.57 12 11 5440 24 1.063 201991 24 3716131 21 34.83 23 37.44 24 12 5518 20 1.179 110494 15 3838510 23 35.29 24 35.57 23 13 5792 4 0.730 4472 2 3268631 15 31.13 16 31.35 14 14 5774 5 0.930 185926 23 3516725 19 31.76 17 33.13 18 15 5697 10 1.187 114699 17 3700756 20 31.91 18 33.01 17 16 5518 21 1.014 66698 11 3271861 16 31.92 19 33.22 19 17 5583 16 0.978 39335 9 2507811 8 26.44 6 27.69 6 18 5771 6 1.338 7311 5 2382778 4 25.04 3 26.17 4 19 5730 8 1.093 95593 13 2031863 2 21.73 1 24.14 1 20 5893 2 1.180 171236 21 3992561 24 32.84 20 33.51 20 21 5904 1 1.013 185753 22 2555599 9 25.08 4 26.20 5 22 5287 25 1.488 73792 12 2926028 13 30.61 14 31.53 15 23 5561 18 1.007 264483 25 2448490 7 27.47 10 28.80 9 24 5739 7 0.432 46048 10 5038145 25 38.09 25 40.15 25 25 5569 17 0.580 164236 20 2239017 3 25.28 5 26.01 3 .................................................................................... 6. Correlations between stability indices ............................................................... Corr GenoMean 1.0000 Slop -0.1978 1.0000 DeviMS 0.1246 -0.0487 1.0000 MSYr_Loc -0.0038 -0.1036 0.0035 1.0000 TMP_CV1 -0.2220 -0.1005 0.0489 0.9424 1.0000 TMP_CV2 -0.2624 -0.0878 0.0321 0.9470 0.9866 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 22 I I I I I I I I 7 I I I 1.35 I 18 I I I I I I I I I I I 1.20 I I I 12 15 20 I I 5 I I I I 19 I I 11 I 1.05 I 4 9 I I 16 2 21 I I 23 I I 17 I I 10 I I 14 I 0.90 I I I I I I I 8 I I 3 1 I I I 0.75 I 6 I I 13 I I I I I I I I I 0.60 I I I 25 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 -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 5200.0 5280.0 5360.0 5440.0 5520.0 5600.0 5680.0 5760.0 5840.0 5920.0 6000.0 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 I I I I 23 I I I I I I I 240000.0 I I I I I I I I I I I I 200000.0 I 11 I I I I 14 21 I I I I 20 I I 25 I 160000.0 I I I I I I I I I 10 I I I 120000.0 I 6 I I 8 15 I I I I 5 I I 19 I I I 80000.0 I I I 22 I I 16 I I I I I I 24 I 40000.0 I 17 I I 1 I I I I I I 3 9 I I 4 7 18 13 I 0.0 I 2 I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 5200.0 5280.0 5360.0 5440.0 5520.0 5600.0 5680.0 5760.0 5840.0 5920.0 6000.0 DeviMS v. GenoMean using factor GenoNum Points coinciding with 8 12 -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 5000000.0 I 24 I I I I I I I I I I I 4500000.0 I I I I I I I I I I I I 4000000.0 I 20 I I I I 12 I I 4 I I 15 I I I 3500000.0 I 14 I I 8 I I I I 16 9 13 I I I I 7 I 3000000.0 I I I 22 I I 2 6 I I I I I I 10 21 I 2500000.0 I 17 I I 3 23 5 18 I I I I 25 I I I I I 2000000.0 I 1 19 I I I I I I I I I I I 1500000.0 I I I I I I I I I I I I 1000000.0 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 5200.0 5280.0 5360.0 5440.0 5520.0 5600.0 5680.0 5760.0 5840.0 5920.0 6000.0 MSYr_Loc v. GenoMean using factor GenoNum Points coinciding with 4 11 -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- I I I I I I 40.0 I I I I I I I I I I I 24 I 37.5 I I I I I I I I I I I 12 I 35.0 I 11 I I I I I I 4 8 I I I I 20 I 32.5 I I I 16 15 I I 14 I I 9 13 I I I I 22 I 30.0 I I I I I I I 7 10 6 I I I I I 27.5 I 3 23 I I 2 5 I I I I 17 I I I I 25 I 25.0 I 18 21 I I I I 1 I I I I I I I 22.5 I I I I I 19 I I I I I I I 20.0 I I -+---------+---------+---------+---------+---------+---------+---------+---------+---------+---------+- 5200.0 5280.0 5360.0 5440.0 5520.0 5600.0 5680.0 5760.0 5840.0 5920.0 6000.0 TMP_CV1 v. GenoMean using factor GenoNum