Analyzing the line by tester data single plant observations evaluated in RCBD and Alpha lattice design. All the factors are considered as fixed.
w Analyzing Line x Tester data (crosses) based on single plant observations laid out in Alpha Lattice design.
# Load the package
library(gpbStat)
#Load the dataset
data("alphaltcs")
# Conduct Line x Tester analysis on single plant basis
result = ltcs(alphaltcs, replication, line, tester, obs, yield, block)
#>
#> Analysis of Line x Tester on single plant basis: yield
# View the output
result
#> $Means
#> Testers
#> Lines DIL - 102 DIL 101 DIL 103
#> DIL - 2 102.1350 88.25000 51.9725
#> DIL 1 87.0875 79.15667 78.7075
#> DIL-3 112.6950 67.84800 90.4550
#> DIL-5 95.2250 98.95250 90.9700
#> DIL4 115.0944 74.95250 80.9000
#>
#> $`Overall ANOVA`
#> Df Sum Sq Mean Sq F value Pr(>F)
#> Replication 3 3106.007 1035.3357 7.796336 5.906947e-05
#> Blocks within Replication 16 32900.156 2056.2598 15.484148 2.314397e-27
#> Crosses 14 62242.942 4445.9244 16.481469 1.963948e-27
#> Lines 4 6930.860 1732.7151 13.162521 1.514446e-09
#> Testers 2 27283.744 13641.8721 103.630090 1.067923e-31
#> Lines X Testers 8 28028.337 3503.5422 12.987968 2.356614e-15
#> Replication x Hybrids 20 33665.196 1683.2598 12.786835 3.473874e-26
#> Error 202 26591.294 131.6401 NA NA
#> Total 239 122937.349 NA NA NA
#>
#> $`Coefficient of Variation`
#> [1] 13.09663
#>
#> $`Line x Tester ANOVA`
#> Df Sum Sq Mean Sq F value Pr(>F)
#> Line 4 6930.86 1732.7151 6.423341 6.530042e-05
#> Tester 2 27283.74 13641.8721 50.571731 7.278756e-19
#> Line x Tester 8 28028.34 3503.5422 12.987968 2.356614e-15
#> Replication x Hybrid 20 33665.20 1683.2598 12.786835 3.473874e-26
#> Error 202 26591.29 131.6401 NA NA
#>
#> $`GCA lines`
#> DIL - 2 DIL 1 DIL-3 DIL-5 DIL4
#> -6.82 -5.73 1.00 7.13 3.57
#>
#> $`GCA testers`
#> DIL - 102 DIL 101 DIL 103
#> 14.84 -6.34 -8.50
#>
#> $`SCA crosses`
#> Testers
#> Lines DIL - 102 DIL 101 DIL 103
#> DIL - 2 6.528561 13.259003 -19.7875639
#> DIL 1 -9.383661 3.300947 6.0827139
#> DIL-3 7.541728 -16.689831 9.1481028
#> DIL-5 -14.644772 9.698169 4.9466028
#> DIL4 9.958144 -9.568289 -0.3898556
#>
#> $`Proportional Contribution`
#> Lines Tester Line x Tester
#> 189.18737 21.06635 82.92892
#>
#> $`Critical differance`
#> C.D. gca for line C.D. gca for tester C.D. sca effect
#> 27.31147 21.15537 47.30485
#> C.D. (gi - gj)line C.D. (gi - gj)tester C.D. (sij - skl)tester
#> 38.62425 29.91821 66.89916
#>
#> $`Least Square Estimates`
#> GCA variance SCA Variance
#> 1181.7889 -608.9477# Load the package
library(gpbStat)
#Load the dataset
data("rcbdltcs")
# Conduct Line x Tester analysis on single plant basis
result1 = ltcs(rcbdltcs, replication, line, tester, obs, yield)
#>
#> Analysis of Line x Tester on single plant basis: yield
# View the output
result1
#> $Means
#> Testers
#> Lines DIL 101 DIL 102 DIL-103
#> DIL - 1 87.0875 89.6500 78.7075
#> DIL - 3 95.2250 98.9525 90.8200
#> DIL - 5 102.1350 88.7000 51.9725
#> DIL 2 112.6950 54.0775 90.4550
#> DIL 4 115.0944 74.9525 83.5675
#>
#> $`Overall ANOVA`
#> Df Sum Sq Mean Sq F value Pr(>F)
#> Replication 3 3552.3441 1184.114704 5.467401 1.211488e-03
#> Crosses 14 71304.8550 5093.203929 22.194761 5.508006e-35
#> Lines 4 5837.4766 1459.369150 367.626329 1.988277e-85
#> Testers 2 26618.4939 13309.246974 3352.701824 3.638136e-143
#> Lines X Testers 8 38848.8845 4856.110557 21.161574 7.997773e-24
#> Replication x Hybrids 42 47365.6030 1127.752451 284.089529 1.000267e-143
#> Error 180 714.5474 3.969708 NA NA
#> Total 239 122937.3495 NA NA NA
#>
#> $`Coefficient of Variation`
#> [1] 2.274285
#>
#> $`Line x Tester ANOVA`
#> Df Sum Sq Mean Sq F value Pr(>F)
#> Line 4 5837.4766 1459.369150 6.359523 7.262897e-05
#> Tester 2 26618.4939 13309.246974 57.997984 4.855606e-21
#> Line x Tester 8 38848.8845 4856.110557 21.161574 7.997773e-24
#> Replication x Hybrid 42 47365.6030 1127.752451 284.089529 1.000267e-143
#> Error 180 714.5474 3.969708 NA NA
#>
#> $`GCA lines`
#> DIL - 1 DIL - 3 DIL - 5 DIL 2 DIL 4
#> -2.46 7.39 -6.67 -1.86 3.60
#>
#> $`GCA testers`
#> DIL 101 DIL 102 DIL-103
#> 14.84 -6.34 -8.50
#>
#> $`SCA crosses`
#> Testers
#> Lines DIL 101 DIL 102 DIL-103
#> DIL - 1 -12.902083 10.841292 2.0607917
#> DIL - 3 -14.615417 10.292958 4.3224583
#> DIL - 5 6.357917 14.103792 -20.4617083
#> DIL 2 12.111250 -25.325375 13.2141250
#> DIL 4 9.048333 -9.912667 0.8643333
#>
#> $`Proportional Contribution`
#> Lines Tester Line x Tester
#> 8.186647 37.330549 54.482804
#>
#> $`Critical differance`
#> C.D. gca for line C.D. gca for tester C.D. sca effect
#> 19.56388 15.15412 33.88564
#> C.D. (gi - gj)line C.D. (gi - gj)tester C.D. (sij - skl)tester
#> 27.66751 21.43116 47.92153
#>
#> $`Least Square Estimates`
#> GCA variance SCA Variance
#> 1108.8276 366.9422