R: Alpha design type (0,1)

design.alpha {agricolae} | R Documentation

## Alpha design type (0,1)

### Description

Creates alpha designs starting from the alpha design fixing under the 4 series formulated by Patterson and Williams.

### Usage

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

### Arguments

`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

### Details

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

### Value

`parameters` | list
`statistics` | dataframe
`sketch` | list
`book` | dataframe

### Author(s)

Felipe de Mendiburu

### References

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

### See Also

`design.ab`, `design.split`,`design.bib`, `design.crd` , `design.cyclic` , `design.dau` , `design.graeco`, `design.lattice`, `design.lsd`, `design.rcbd`, `design.strip`

### Examples

    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

[Package agricolae version 1.2-6 Index]