Completamente al azar.

Dificil de establecer en campo.

library(dplyr)
## Warning: package 'dplyr' was built under R version 4.2.3
## 
## Attaching package: 'dplyr'
## The following objects are masked from 'package:stats':
## 
##     filter, lag
## The following objects are masked from 'package:base':
## 
##     intersect, setdiff, setequal, union
data = expand.grid(x = seq(6), y = seq(4))
data = sample_frac(data)
data$f1 = gl(4, 6, 24, paste0('V',1:4))
data$f2 = gl(3, 2, 24, paste0('R',1:3))
data$rep = gl(2, 1, 24, paste0('r',1:2))
data$name = paste0(data$f1, data$f2, data$rep)
library(ggplot2)
## Warning: package 'ggplot2' was built under R version 4.2.3
ggplot(data)+
  aes(x,y,label=name, fill=f2)+
  geom_tile(color='white')+
  geom_label(fill='white')+
  labs(title = 'Completamente al azar')

library(dplyr)
set.seed(123)
xy = expand.grid(y = seq(4), x = seq(6))
f2 = gl(3, 8, 24, paste0('R',1:3))
lf1 = paste0('V',1:4)
f1 = c(sample(lf1),sample(lf1),
       sample(lf1),sample(lf1),
       sample(lf1),sample(lf1))
rep = rep(rep(paste0('r',1:2), each=4), 3)

data = data.frame(xy, f1, f2, rep)
data$name = with(data, paste0(f1, rep))
library(ggplot2)
ggplot(data)+
  aes(x,y,label=name, fill=f1)+
  geom_tile(color='white')+
  geom_text()+
  facet_wrap(~f2, scales = 'free')+
  theme(axis.text = element_blank())

set.seed(123)
data$biom = rnorm(24, 8, 2)

Análisis descriptivo.

ggplot(data)+
  aes(f2, biom)+
  geom_boxplot()

ggplot(data)+
  aes(f1, biom)+
  geom_boxplot()

ggplot(data)+
  aes(f2, biom, fill=f1)+
  geom_boxplot()

  • La mejor depende también de la interacción.
mod1 = aov(biom ~ f2 * f1 + Error(f2:rep), data)
## Warning in aov(biom ~ f2 * f1 + Error(f2:rep), data): Error() model is singular
summary(mod1)
## 
## Error: f2:rep
##           Df Sum Sq Mean Sq F value Pr(>F)  
## f2         2 13.327   6.664   8.078  0.062 .
## Residuals  3  2.475   0.825                 
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Error: Within
##           Df Sum Sq Mean Sq F value Pr(>F)
## f1         3   9.70   3.232   0.641  0.608
## f2:f1      6  13.67   2.278   0.451  0.827
## Residuals  9  45.42   5.046