[R] replication of latin squares --- again

[kjetil brinchmann halvorsen]

On 2 Apr 2003 at 11:57, lamack lamack wrote:

> Dear all, this is a newbie's question.
> 
> I have a 4x4 latin square replicated 3 times. That is:
> 
>           operators
> batches 1  2  3  4
>   1      A  B  C  D
>   2      B  C  D  A
>   3      C  D  A  B
>   4      D  A  B  C
> 
>           operators
> batches 1  2  3  4
>   5      A  B  C  D
>   6      B  C  D  A
>   7      C  D  A  B
>   8      D  A  B  C
> 
>           operators
> batches 1  2  3  4
>   9      A  B  C  D
>   10     B  C  D  A
>   11     C  D  A  B
>   12     D  A  B  C
> 
> I have used the same operators but different batches.
> How can I get the anova table for this design using R?
> I have created a R object as
> 
>   bathces operators treatment  y   rep
>    1         1        A        y1   1
>    1         1        b        b2   1
>    .         .        .        .    .
> and so on
> 

Something like , assuming the variables batches, operators, 
treatment, rep are factors and y is numeric, 

model <- aov(y ~ rep + batches + operators + treatment)

or 

model <- aov(y ~ batches + operators + treatment)
  (which will give another parametrization of the same model)

summary(model)

Kjetil Halvorsen


> I appreciate in advance.
> 
> L.
> 
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