design.alpha | R Documentation |

Generates an alpha designs starting from the alpha design fixing under the series formulated by Patterson and Williams. These designs are generated by the alpha arrangements. They are similar to the lattice designs, but the tables are rectangular s by k (with s blocks and k<s columns. The number of treatments should be equal to s*k and all the experimental units r*s*k (r replications).

```
design.alpha(trt, k, r, serie = 2, seed = 0, kinds = "Super-Duper",randomization=TRUE)
```

`trt` |
Treatments |

`k` |
size block |

`r` |
Replications |

`serie` |
number plot, 1: 11,12; 2: 101,102; 3: 1001,1002 |

`seed` |
seed |

`kinds` |
method for to randomize |

`randomization` |
TRUE or FALSE - randomize |

Parameters for the alpha design: I. r=2, k <= s; II. r=3, s odd, k <= s; III.r=3, s even, k <= s-1; IV. r=4, s odd but not a multiple of 3, k<=s

r= replications s=number of blocks k=size of block Number of treatment is equal to k*s

`parameters` |
Design parameters |

`statistics ` |
Design statistics |

`sketch` |
Design sketch |

`book` |
Fieldbook |

Felipe de Mendiburu

H.D. Patterson and E.R. Williams. Biometrika (1976) A new class of resolvable incomplete block designs. printed in Great Britain. Online: http://biomet.oxfordjournals.org/cgi/content/abstract/63/1/83

`design.ab`

, `design.split`

,`design.bib`

,
`design.crd `

, `design.cyclic `

, `design.dau `

,
`design.graeco`

, `design.lattice`

, `design.lsd`

,
`design.rcbd`

, `design.strip`

```
library(agricolae)
#Example one
trt<-1:30
t <- length(trt)
# size block k
k<-3
# Blocks s
s<-t/k
# replications r
r <- 2
outdesign<- design.alpha(trt,k,r,serie=2)
book<-outdesign$book
plots<-book[,1]
dim(plots)<-c(k,s,r)
for (i in 1:r) print(t(plots[,,i]))
outdesign$sketch
# Example two
trt<-letters[1:12]
t <- length(trt)
k<-3
r<-3
s<-t/k
outdesign<- design.alpha(trt,k,r,serie=2)
book<-outdesign$book
plots<-book[,1]
dim(plots)<-c(k,s,r)
for (i in 1:r) print(t(plots[,,i]))
outdesign$sketch
```

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