hcc: Estimation of Standard Heterosis

Function hcc calculates Heterosis between experimental genotypes and commercial checks.

Example: Estimation of Standard Heterosis between maize hybrid and checks

library(gpbStat)
data("hybrid")
data('check')
res = hcc(hybrid, check)
res
#>    i.Genotype       C1.DM      C1.DTP      C1.DTS       C1.EH      C1.GY
#> 1          H1  4.21902920 -11.3029047  0.16925642 -30.4994305 -12.931397
#> 2         H10 -0.99274103  -4.6878995 -3.79547846 -25.1704657   1.703767
#> 3         H11 -1.60097821 -11.9467726 -7.05458939 -23.3901139 -24.399669
#> 4         H12  2.17111449 -11.8662623 -4.69741358 -20.8181111 -11.438959
#> 5         H13  0.80761970 -13.0619007 -7.54200256 -22.4003586  -6.229038
#> 6         H14  1.56658322 -13.4224659 -0.74540588 -24.7388525 -15.377135
#> 7         H15 -1.34902361  -5.4584296 -9.36980028 -33.6833821   9.333889
#> 8         H16  4.29295567  -0.1704894 -2.19247933  -5.6616610 -10.798061
#> 9         H17  1.78936434 -12.1874145 -6.81572342 -11.0796193   1.071019
#> 10        H18  2.22216192  -7.2452042 -7.63212115 -26.2487566 -13.595141
#> 11        H19 -1.59809786  -4.8784202 -0.15260278  -7.3698287 -22.256936
#> 12         H2  3.95571246  -9.0680877 -4.20187771 -11.0148052 -36.088042
#> 13        H20  0.16813056 -11.2179996 -0.30945487 -13.7994205  -7.418901
#> 14        H21  4.28618654 -10.0788889 -7.42851743 -25.6741505  12.821685
#> 15        H22  0.34357931   0.4632983 -4.79758480  -3.3074365 -16.005649
#> 16        H23  2.05839109  -0.9412637 -6.07858467 -25.4170011 -25.171901
#> 17        H24 -3.32133144 -11.8629056  0.16562815 -23.7242238 -16.244011
#> 18        H25  2.74502490 -12.7241223 -2.57570312  -8.3704933 -15.409444
#> 19        H26 -2.90571547  -4.3465510 -0.09198928  -5.4026939  -2.251824
#> 20        H27  0.17212834 -10.1947479 -0.97651376 -16.2411718 -12.679837
#> 21        H28  0.08877777 -11.4918665  0.18992387 -11.3019737 -16.767144
#> 22        H29  1.56670750  -8.0901279 -4.31949737 -10.1764229 -32.581748
#> 23         H3  0.67432413  -8.8839027 -5.46185801 -21.8226713 -38.404314
#> 24        H30 -2.62684795 -10.0485814  3.08363875 -37.6305981  -7.232343
#> 25        H31  3.52700194 -13.8435763 -2.13542332 -24.4733018  -2.553274
#> 26        H32 -0.72296291 -12.4322974 -7.37373268 -40.4923328 -16.496762
#> 27        H33  1.13463839  -0.3083616 -3.12742709 -21.5095303  14.051392
#> 28        H34 -2.16616236  -6.9800611 -4.31777233 -22.0372376  -7.610204
#> 29        H35  0.28622669 -13.0195904 -3.44065678  -3.3212640  -2.056983
#> 30        H36 -0.41595024  -3.9744827  2.87612580 -23.6197193  -8.999656
#> 31        H37  4.27215902  -2.4212055 -7.06274739  -6.7343905 -11.282929
#> 32        H38 -1.52772247  -3.9261474 -2.03724733 -25.3688969 -17.283695
#> 33        H39  1.71325593  -8.1679830 -7.12549846  -4.5966453 -30.723783
#> 34         H4  4.36520801  -7.2140133 -5.41226822 -26.1243732 -18.855549
#> 35        H40  9.07780657  -9.5039239 -6.68469696 -10.0485429  -2.480135
#> 36        H41  5.06134274 -10.7757074 -5.75428433 -23.5474348  -6.465774
#> 37        H42 -0.76248257 -10.5711764 -9.07213131 -27.8746541  -5.345320
#> 38        H43 -2.26551623  -8.0405130  1.08017100  -0.9757004  13.530601
#> 39        H44  2.70944998  -9.8255821 -9.35299529 -21.8350298 -21.889549
#> 40        H45  4.35495888  -3.7086804 -7.32349465 -25.2043834   4.775849
#> 41        H46 -0.06189363  -1.9477944 -6.08510204 -23.5846474   5.990413
#> 42        H47  0.40414855  -7.2315579 -7.50571556 -27.8373425  -7.026387
#> 43        H48  3.29293879   0.1665101 -7.90728568 -19.9941567 -23.373766
#> 44        H49  4.67372746  -4.0485821 -1.72615017 -24.6328724 -45.256410
#> 45         H5 -2.10411574  -0.5792159 -7.32865640 -26.1453961   9.195765
#> 46        H50  2.00125110  -8.0584686 -0.17867177 -24.9393776 -40.937205
#> 47        H51  1.08665710  -7.1437194 -1.21918493 -24.3644282  -9.231438
#> 48        H52  6.22868789  -0.1722424 -6.47160481 -26.9108915 -32.699577
#> 49        H53  0.92278183  -2.7058661 -1.31608305 -25.8670629   2.761191
#> 50        H54 -1.63709727  -5.5782557 -6.09717063 -28.9070727 -19.839555
#> 51        H55 -1.11661873 -11.6359262 -8.46271437 -28.5454760   2.741346
#> 52        H56  3.64576278  -1.2237601 -3.44978894  -6.2388607 -36.949111
#> 53        H57 -3.87008741 -14.0182686 -5.41173558 -25.9199293 -28.614784
#> 54        H58  0.18616681  -8.8464370  0.68205199 -17.1055152  -5.295990
#> 55        H59  6.16982623  -0.2222934 -3.83290656 -17.0143683  -9.552328
#> 56         H6  6.16287055  -2.8060950 -7.01195024 -27.6042235 -23.570129
#> 57        H60  0.76765750  -2.8617227 -8.48086220 -26.2504374 -39.593769
#> 58        H61 -0.03245187  -8.0043544 -4.04761105 -22.4965922  -9.287791
#> 59        H62  3.91310908  -1.9075743 -1.06536327 -28.7581430  -6.385917
#> 60        H63  5.55797812  -0.1546745 -8.62839033 -25.0343160   1.422082
#> 61        H64 -2.93706449 -11.8080085  1.82537891 -23.1597106  -1.172882
#> 62        H65  0.53929698  -6.5774828 -4.08906002 -23.5891639 -11.559386
#> 63         H7  0.66112607  -6.4975181 -0.46314451 -24.1792147 -22.580217
#> 64         H8 -0.08412633  -1.3178780 -1.44600361 -13.4221525 -13.837368
#> 65         H9  1.29399298  -8.2990269 -3.77427035 -27.4911490   1.093128
#>        C1.PH      C2.DM       C2.DTP      C2.DTS        C2.EH      C2.GY
#> 1  28.436948 -1.7380860  -7.71800816  7.17525868  -7.89173670  34.396037
#> 2  23.873604 -6.6519537  -0.83564233  2.93322373  -0.82932425  56.986362
#> 3  34.948920 -7.2254243  -8.38789939 -0.55383477   1.53015446  16.694015
#> 4   9.594940 -3.6689428  -8.30413511  1.96820579   4.93879862  36.699712
#> 5  16.177810 -4.9545008  -9.54809804 -1.07533842   2.84186516  44.741562
#> 6  27.255032 -4.2389193  -9.92323624  6.19662340  -0.25731243  30.620882
#> 7  20.320340 -6.9878713  -1.63731517 -3.03097531 -12.11138922  68.763950
#> 8  -4.200654 -1.6683851   3.86434929  4.64833925  25.02545842  37.688979
#> 9  46.315806 -4.0288723  -8.63826740 -0.29826212  17.84510397  56.009675
#> 10 21.344951 -3.6208132  -3.49630641 -1.17176005  -2.25837006  33.371505
#> 11 18.301181 -7.2227086  -1.03386339  6.83088811  22.76164453  20.001462
#> 12 26.225120 -1.9863517  -5.39286583  2.49840025  17.93100122  -1.347746
#> 13 31.149564 -5.5574370  -7.62967137  6.66306554  14.24058430  42.904932
#> 14  6.245841 -1.6747674  -6.44452098 -0.95391595  -1.49685157  74.147589
#> 15 26.662759 -5.3920168   4.52375292  1.86102843  28.14548366  29.650730
#> 16 22.148102 -3.7752230   3.06242235  0.49043332  -1.15605457  15.502025
#> 17 22.130528 -8.8474428  -8.30064281  7.17137664   1.08736265  29.282802
#> 18 10.602305 -3.1278368  -9.19666750  4.23831216  21.43547576  30.571010
#> 19  8.221584 -8.4555833  -0.48049743  6.89574102  25.36866446  50.880651
#> 20 28.144173 -5.5536677  -6.56506269  5.94935145  11.00456088  34.784337
#> 21 14.126663 -5.6322540  -7.91460730  7.19737164  17.55042030  28.475313
#> 22  2.378554 -4.2388021  -4.37537956  2.37255408  19.04209912   4.064446
#> 23 34.900102 -5.0801772  -5.20123666  1.15029486   3.60746715  -4.923063
#> 24 17.689522 -8.1926557  -6.41298845 10.29347770 -17.34258685  43.192897
#> 25 33.624655 -2.3905573 -10.36136682  4.70938585   0.09461864  50.415344
#> 26 12.809326 -6.3975960  -8.89304779 -0.89529946 -21.13520917  28.892665
#> 27 35.922092 -4.6461744   3.72090460  3.64799972   4.02246912  76.045723
#> 28 12.255834 -7.7583027  -3.22044690  2.37439977   3.32310508  42.609644
#> 29 36.486014 -5.4460912  -9.50407764  3.31286222  28.12715827  51.181401
#> 30 18.898032 -6.1081320  -0.09339112 10.07145095   1.22586122  40.464934
#> 31 11.329478 -1.6879931   1.52266534 -0.56256335  23.60378308  36.940554
#> 32 41.315342 -7.1563558  -0.04310223  4.81442844  -1.09230274  27.677982
#> 33  8.190060 -4.1006303  -4.45638140 -0.62970334  26.43691089   6.932334
#> 34 36.642515 -1.6002627  -3.46385480  1.20335305  -2.09352634  25.251724
#> 35 20.898816  2.8429657  -5.84631742 -0.15807145  19.21157700  50.528238
#> 36 53.460307 -0.9439187  -7.16950298  0.83741576   1.32165903  44.376145
#> 37 30.414656 -6.4348567  -6.95670532 -2.71248688  -4.41315230  46.105640
#> 38 17.883909 -7.8519776  -4.32375934  8.14988412  31.23570530  75.241848
#> 39  7.856262 -3.1613783  -6.18097613 -3.01299495   3.59108866  20.568548
#> 40  1.090130 -1.6099260   0.18315421 -0.84154770  -0.87427491  61.728319
#> 41 31.898023 -5.7743131   2.01521045  0.48346012   1.27234163  63.603079
#> 42 21.518043 -5.3349097  -3.48210851 -1.03651344  -4.36370374  43.510803
#> 43 23.831802 -2.6112415   4.21496937 -1.46617004   6.03077549  18.277564
#> 44 34.646835 -1.3093781  -0.17048543  5.14728424  -0.11685837 -15.499718
#> 45 37.027435 -7.6998027   3.43910318 -0.84707047  -2.12138764  68.550747
#> 46 36.701865 -3.8290969  -4.34244069  6.80299582  -0.52306596  -8.832744
#> 47 31.375347 -4.6914131  -3.39071980  5.68970746   0.23890758  40.107164
#> 48 34.951091  0.1567015   3.86252544  0.06992471  -3.13588940   3.882569
#> 49  4.015653 -4.8459213   1.22649946  5.58603213  -1.75251603  58.618565
#> 50 19.325327 -7.2594788  -1.76198429  0.47054743  -5.78140418  23.732846
#> 51 34.687744 -6.7687506  -8.06448943 -2.06044632  -5.30218453  58.587932
#> 52 46.337722 -2.2785848   2.76850821  3.30309134  24.26050272  -2.676863
#> 53 30.069199 -9.3648322 -10.54311966  1.20392293  -1.82257927  10.187712
#> 54 29.502616 -5.5404317  -5.16225663  7.72392002   9.85905699  46.181784
#> 55 25.655530  0.1012043   3.81045149  2.89317784   9.97985285  39.611849
#> 56  3.722212  0.0946462   1.12221958 -0.50821337  -4.05475393  17.974465
#> 57 17.899109 -4.9921788   1.06434358 -2.07986344  -2.26059758  -6.759064
#> 58 31.049302 -5.7465542  -4.28613934  2.66345658   2.71432799  40.020179
#> 59 -2.602859 -2.0265199   2.05705612  5.85428766  -5.58402953  44.499410
#> 60 40.186858 -0.4756708   3.88080340 -2.23770993  -0.64888661  56.551563
#> 61 32.960230 -8.4851404  -8.24352686  8.94721309   1.83550523  52.546067
#> 62 22.488620 -5.2074863  -2.80159744  2.61910859   1.26635586  36.513825
#> 63 36.311553 -5.0926209  -2.71840083  6.49862659   0.48436870  19.502457
#> 64 34.362239 -5.7952750   2.67058630  5.44702471  14.74057305  32.997612
#> 65 17.022780 -4.4959284  -4.59272173  2.95591517  -3.90489764  56.043801
#>         C2.PH        C3.DM      C3.DTP     C3.DTS       C3.EH        C3.GY
#> 1  26.4088524  0.888672574  3.18368498  6.4261155 -10.0410539  -1.78712441
#> 2  21.9175666 -4.156553665 10.87909612  2.2137319  -3.1434406  14.72125482
#> 3  32.8179968 -4.745354405  2.43465645 -1.2489524  -0.8390196 -14.72326859
#> 4   7.8643708 -1.093800281  2.52831619  1.2554594   2.4900850  -0.10366328
#> 5  14.3432937 -2.413724111  1.13739823 -1.7668108   0.4420828   5.77309663
#> 6  25.2455993 -1.679013542  0.71794324  5.4543208  -2.5847765  -4.54590251
#> 7  18.4204108 -4.501451101  9.98271801 -3.7087780 -14.1622421  23.32798757
#> 8  -5.7133830  0.960236699 16.13431922  3.9168590  22.1080289   0.61926525
#> 9  44.0053923 -1.463351473  2.15471132 -0.9951662  15.0952258  14.00751900
#> 10 19.4288419 -1.044384092  7.90411564 -1.8625585  -4.5391401  -2.53582390
#> 11 16.4331351 -4.742566094 10.65745831  6.0841521  19.8970404 -12.30627875
#> 12 24.2319508  0.633770220  5.78350700  1.7819478  15.1791186 -27.90768471
#> 13 29.0786348 -3.032778142  3.28245740  5.9175026  11.5748164   4.43093834
#> 14  4.5681558  0.953683873  4.60761503 -1.6462371  -3.7953914  27.26220069
#> 15 24.6626786 -2.862935920 16.87162121  1.1490312  25.1552493  -5.25486306
#> 16 20.2193104 -1.202921566 15.23765698 -0.2119836  -3.4625468 -15.59434176
#> 17 20.2020147 -6.410733123  2.53222105  6.4222606  -1.2714790  -5.52373390
#> 18  8.8558289 -0.538229390  1.53034487  3.5096979  18.6018173  -4.58234766
#> 19  6.5127004 -6.008398310 11.27619591  6.1485517  22.4432263  10.25937142
#> 20 26.1207008 -3.028908110  4.47283317  5.2087772   8.4143046  -1.50336624
#> 21 12.3245354 -3.109595182  2.96386069  6.4480739  14.8074184  -6.11382455
#> 22  0.7619355 -1.678893231  6.92119357  1.6569813  16.2642894 -23.95260534
#> 23 32.7699490 -2.542760166  5.99777420  0.4432655   1.1898197 -30.52042655
#> 24 15.8311345 -5.738442102  4.64287263  9.5225385 -19.2713714   4.64137492
#> 25 31.5146419  0.218759291  0.22805429  3.9774789  -2.2410576   9.91933789
#> 26 11.0279994 -3.895396400  1.86983256 -1.5880303 -22.9754941  -5.80883581
#> 27 33.7758013 -2.097155419 15.97392876  2.9235117   1.5951377  28.64930405
#> 28 10.4832474 -5.292477887  8.21256370  1.6588141   0.9120931   4.21514990
#> 29 34.3308189 -2.918455819  1.18661896  2.5907168  25.1373516  10.47915092
#> 30 17.0205613 -3.598194427 11.70903286  9.3020637  -1.1362122   2.64785598
#> 31  9.5715192  0.940104613 13.51600145 -1.2576200  20.7195279   0.07233724
#> 32 39.0838890 -4.674439574 11.76526261  4.0817872  -3.4002826  -6.69649186
#> 33  6.4816746 -1.537027808  6.83062261 -1.3242907  23.4865456 -21.85683253
#> 34 34.4848487  1.030180185  7.94040091  0.4959528  -4.3781429  -8.46953376
#> 35 18.9897514  5.592185958  5.27648710 -0.8559554  16.4298126  10.00183786
#> 36 51.0370778  1.704069681  3.79698759  0.1325734  -1.0426498   5.50605986
#> 37 28.3553309 -3.933653196  4.03492400 -3.3925158  -6.6436411   6.76992633
#> 38 16.0224521 -5.388656871  6.97891192  7.3939284  28.1733616  28.06185450
#> 39  6.1531478 -0.572667496  4.90229363 -3.6909234   1.1738234 -11.89186796
#> 40 -0.5061430  1.020258576 12.01824775 -1.5346543  -3.1873423  18.18654498
#> 41 29.8152751 -3.255451823 14.06673316 -0.2189081  -1.0908164  19.55656690
#> 42 19.5992013 -2.804302186  7.91999080 -1.7282572  -6.5953465   4.87369222
#> 43 21.8764241 -0.007824286 16.52635965 -2.1549106   3.5565809 -13.56605538
#> 44 32.5206810  1.328840790 11.62283105  4.4123164  -2.4475999 -38.24955080
#> 45 34.8636906 -5.232413990 15.65883685 -1.5401384  -4.4053541  23.17218496
#> 46 34.5432613 -1.258235627  6.95802366  6.0564547  -2.8443287 -33.37751214
#> 47 29.3008526 -2.143603451  8.02217568  4.9509481  -2.1001356   2.38640778
#> 48 32.8201331  2.834111896 16.13227991 -0.6295530  -5.3961828 -24.08551630
#> 49  2.3731836 -2.302242022 13.18484815  4.8479975  -4.0450900  15.91402293
#> 50 17.4411087 -4.780319268  9.84332116 -0.2317305  -7.9799653  -9.57948712
#> 51 32.5609447 -4.276472803  2.79627231 -2.7450329  -7.5119281  15.89163729
#> 52 44.0269624  0.333725090 14.90902143  2.5810142  21.3609232 -28.87896566
#> 53 28.0153291 -6.941953404  0.02483017  0.4965187  -4.1135183 -19.47789313
#> 54 27.4576927 -3.015318245  6.04135911  6.9709418   7.2955307   6.82557016
#> 55 23.6713542  2.777131184 16.07405422  2.1739660   7.4135078   2.02444508
#> 56  2.0843762  2.770397770 13.06824920 -1.2036499  -6.2936059 -13.78755185
#> 57 16.0374122 -2.452409303 13.00353604 -2.7643143  -4.5413156 -31.86212477
#> 58 28.9799554 -3.226950884  7.02097614  1.9458504   0.3175216   2.32284159
#> 59 -4.1408182  0.592528244 14.11352226  5.1143779  -7.7871963   5.59613866
#> 60 37.9732240  2.184834895 16.15271713 -2.9210575  -2.9672134  14.40351597
#> 61 30.8607093 -6.038745559  2.59608436  8.1856842  -0.5407941  11.47641090
#> 62 20.5544520 -2.673472473  8.68089375  1.9018124  -1.0966625  -0.23950421
#> 63 34.1591129 -2.555536484  8.77391876  5.7542130  -1.8604022 -12.67093734
#> 64 32.2405799 -3.276974072 14.79953156  4.7099617  12.0631381  -2.80905503
#> 65 15.1749210 -1.942893057  6.67817578  2.2362648  -6.1472464  14.03245758
#>          C3.PH
#> 1    2.8726688
#> 2   -0.7823802
#> 3    8.0884885
#> 4  -12.2189982
#> 5   -6.9463921
#> 6    1.9260029
#> 7   -3.6283973
#> 8  -23.2686972
#> 9   17.1928923
#> 10  -2.8077270
#> 11  -5.2456602
#> 12   1.1010866
#> 13   5.0453619
#> 14 -14.9014878
#> 15   1.4516167
#> 16  -2.1644365
#> 17  -2.1785119
#> 18 -11.4121406
#> 19 -13.3189999
#> 20   2.6381684
#> 21  -8.5892759
#> 22 -17.9990244
#> 23   8.0493868
#> 24  -5.7355738
#> 25   7.0278065
#> 26  -9.6444086
#> 27   8.8679586
#> 28 -10.0877327
#> 29   9.3196369
#> 30  -4.7676075
#> 31 -10.8297054
#> 32  13.1877284
#> 33 -13.3442489
#> 34   9.4449878
#> 35  -3.1650628
#> 36  22.9153417
#> 37   4.4567306
#> 38  -5.5798778
#> 39 -13.6116070
#> 40 -19.0309982
#> 41   5.6448464
#> 42  -2.6690869
#> 43  -0.8158624
#> 44   7.8465303
#> 45   9.7532927
#> 46   9.4925245
#> 47   5.2262048
#> 48   8.0902271
#> 49 -16.6877761
#> 50  -4.4253622
#> 51   7.8792972
#> 52  17.2104463
#> 53   4.1800341
#> 54   3.7262245
#> 55   0.6448680
#> 56 -16.9228102
#> 57  -5.5677031
#> 58   4.9650557
#> 59 -21.9889297
#> 60  12.2838592
#> 61   6.4956303
#> 62  -1.8916952
#> 63   9.1799010
#> 64   7.6185814
#> 65  -6.2696063