| 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
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