design.alpha {agricolae} R Documentation

## Alpha design type (0,1)

### Description

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).

### 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 Design parameters statistics Design statistics sketch Design sketch book Fieldbook

### 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

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 1.3-7 Index]