ANOVA of Eberhart & Russel’s Model

er_anova(.data, .y, .rep, .gen, .env)

# S3 method for default
er_anova(.data, .y, .rep, .gen, .env)

Arguments

.data

data.frame

.y

Response Variable

.rep

Replication Factor

.gen

Genotypes Factor

.env

Environment Factor

Value

Additive ANOVA

References

Singh, R. K. and Chaudhary, B. D. (2004) Biometrical Methods in Quantitative Genetic Analysis. New Delhi: Kalyani.

Examples

data(ge_data) Yield.er_anova <- er_anova( .data = ge_data , .y = Yield , .rep = Rep , .gen = Gen , .env = Env )
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Yield.er_anova
#> [[1]] #> Analysis of Variance Table #> #> Response: .data[[Y]] #> Df Sum Sq Mean Sq F value Pr(>F) #> Env 10 263940496 26394050 68.0551 1.995e-08 *** #> Rep(Env) 11 4266167 387833 3.9109 1.658e-05 *** #> Gen 59 71662431 1214617 12.2482 < 2.2e-16 *** #> Gen:Env 590 201336476 341248 3.4411 < 2.2e-16 *** #> Residuals 649 64359568 99167 #> --- #> Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 #> #> $er_anova #> Df Sum Sq Mean Sq F value Pr(>F) #> Total 659 234771569 356254 #> Gen 59 2133083 36154 0.4497 0.999871 #> Env + (Gen x Env) 600 232638486 387731 #> Env (linear) 1 131970248 131970248 #> Gen x Env(linear) 59 57257951 970474 12.0722 < 2.2e-16 *** #> Pooled deviation 540 43410287 80389 #> 013BT034 9 471024 52336 1.0734 0.380296 #> 122557 9 287034 31893 0.6541 0.750685 #> 122559 9 899838 99982 2.0506 0.031866 * #> 12B.2511 9 800492 88944 1.8242 0.060823 . #> 12FJ26 9 686360 76262 1.5641 0.122229 #> 14B.1030 9 668473 74275 1.5234 0.135661 #> 14C036 9 1110265 123363 2.5301 0.007408 ** #> 14C040 9 722512 80279 1.6465 0.098562 . #> 9496 9 495207 55023 1.1285 0.339863 #> AUR0809 9 541979 60220 1.2351 0.270158 #> AUR0810 9 979857 108873 2.2330 0.018531 * #> AZRC11 9 771590 85732 1.7583 0.072941 . #> AZRC18 9 589136 65460 1.3426 0.211227 #> AZRC20 9 1050318 116702 2.3935 0.011344 * #> BARDC1016 9 578318 64258 1.3179 0.223765 #> CT12176 9 1320714 146746 3.0097 0.001576 ** #> DANI16 9 588746 65416 1.3417 0.211669 #> DN111 9 864812 96090 1.9708 0.040168 * #> DN117 9 557660 61962 1.2708 0.249318 #> DN126 9 575662 63962 1.3119 0.226930 #> FAISALABAD08 9 896257 99584 2.0424 0.032635 * #> IVI 9 1077549 119728 2.4556 0.009356 ** #> IVII 9 1928363 214263 4.3945 1.353e-05 *** #> KT325 9 923816 102646 2.1052 0.027138 * #> KT335 9 959688 106632 2.1870 0.021279 * #> LOCAL CHECK 9 648921 72102 1.4788 0.151768 #> MSH3 9 541577 60175 1.2342 0.270708 #> NIBGE GANDUM3 9 763272 84808 1.7394 0.076811 . #> NIBGE GANDUM4 9 183983 20443 0.4193 0.925128 #> NR443 9 556283 61809 1.2677 0.251098 #> NR448 9 602418 66935 1.3728 0.196605 #> NR487 9 529356 58817 1.2063 0.287854 #> NR488 9 439359 48818 1.0012 0.437501 #> NR491 9 690621 76736 1.5738 0.119205 #> NRL1123 9 774862 86096 1.7658 0.071467 . #> NRL1206 9 715799 79533 1.6312 0.102626 #> NW181838 9 611492 67944 1.3935 0.187095 #> NW5201 9 890418 98935 2.0291 0.033926 * #> PAKISTAN13 9 991699 110189 2.2599 0.017078 * #> PR115 9 570781 63420 1.3007 0.232841 #> PR118 9 553769 61530 1.2620 0.254371 #> PR119 9 329640 36627 0.7512 0.661879 #> PR120 9 505853 56206 1.1528 0.323002 #> PR121 9 967924 107547 2.2058 0.020113 * #> QS3 9 1144963 127218 2.6092 0.005769 ** #> SD1013 9 930660 103407 2.1208 0.025915 * #> SRN13121 9 1231054 136784 2.8054 0.003074 ** #> TWS12155 9 326136 36237 0.7432 0.669305 #> TWS12245 9 474036 52671 1.0803 0.375101 #> TWS12464 9 432572 48064 0.9858 0.450346 #> UOS1 9 571017 63446 1.3013 0.232552 #> V12066 9 529175 58797 1.2059 0.288114 #> V13348 9 1202805 133645 2.7410 0.003785 ** #> V14154 9 189614 21068 0.4321 0.917993 #> V14168 9 751301 83478 1.7121 0.082705 . #> V14170 9 892534 99170 2.0340 0.033453 * #> V14225 9 463652 51517 1.0566 0.393196 #> V14227 9 700835 77871 1.5971 0.112217 #> WBG14 9 467120 51902 1.0645 0.387096 #> WV1038 9 889119 98791 2.0262 0.034219 * #> Pooled error 660 32179784 48757 #> --- #> Signif. codes: 0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1 #>