Simulated alpha lattice trial of 24 cowpea genotypes in three
replications, each with six incomplete blocks of four plots. The layout
was generated with agricolae::design.alpha().
Format
A data frame with 72 rows and 5 variables:
- rep
Factor, replication (1-3).
- block
Factor, incomplete block within replication (1-6).
- plot
Plot number.
- genotype
Factor, genotype code (CP-01 to CP-24).
- grain_yield
Grain yield (kg/ha).
Examples
data(cowpea_alpha)
anova_alpha_lattice(cowpea_alpha, "grain_yield", "genotype", "rep",
"block")
#>
#> ======================================================================
#> ALPHA LATTICE DESIGN
#> ======================================================================
#> Response : grain_yield
#> Analysis : REML (blocks random)
#> Genotypes : 24
#> Replications : 3
#> Incomplete blocks : 18
#>
#> Intra-block analysis of variance
#> Source Df Sum Sq Mean Sq F value Pr(>F)
#> rep 2 110849.69 55424.85
#> Blocks within rep (unadjusted) 15 359316.25 23954.42
#> Blocks within rep (adjusted) 15 170639.87 11375.99 4.407 0.0002 ***
#> genotype (adjusted) 23 247396.06 10756.35 4.167 0.0001 ***
#> Intra-block error 31 80030.44 2581.63
#> Signif. codes: *** p < 0.001, ** p < 0.01, * p < 0.05, NS not significant
#>
#> Grand mean = 1058.278 CV = 4.80% Average SEd = 46.672 CD (5%) = 95.189
#> Efficiency relative to RCBD = 166.8%
#>
#> REML variance components
#> Component Variance
#> rep 1679
#> Block within rep 3142
#> Residual 2560
#>
#> Adjusted genotype means (top 15, Fisher's LSD)
#> Genotype Mean Adjusted_mean SE Group
#> CP-03 1229.67 1210.69 42.576 a
#> CP-17 1216.67 1163.07 42.576 abc
#> CP-16 1179.67 1162.40 42.595 ab
#> CP-12 1098.67 1108.60 42.595 bcd
#> CP-14 1097.33 1103.80 42.576 bcde
#> CP-09 1063.00 1094.97 42.595 bcdef
#> CP-15 1111.67 1093.96 42.595 bcdefg
#> CP-19 1113.00 1093.20 42.576 bcdefg
#> CP-13 1094.33 1079.56 42.595 bcdefgh
#> CP-08 1013.67 1069.33 42.595 cdefgh
#> CP-20 1069.00 1063.63 42.595 defgh
#> CP-11 1069.00 1062.62 42.595 defghi
#> CP-22 1033.00 1058.60 42.576 defghi
#> CP-02 1071.67 1057.56 42.576 defghi
#> CP-24 1026.33 1037.79 42.576 defghi