[R] Applying functions to partitions

[Charles C. Berry]

On Mon, 16 Feb 2009, Titus von der Malsburg wrote:

> On Mon, Feb 16, 2009 at 01:45:52PM -0500, Stavros Macrakis wrote:
>> How are the blocks defined? As a priori index ranges? By factors? By
>> some property of i,j? Or...?
>
> Ok, I should have been more specific.
>
> The blocks are defined by factors.  There's a factor for the columns and
> a factor for the rows.  In the example below the column factor would be
> c(1,1,1,2,3,3) and the row factor c(1,1,1,2,2,3).  In the particular
> case I'm working on the matrix is square and symmetric and there's only
> one factor for both.

If the number of factor levels is manageable and if as.numeric( 
your.factor ) orders the blocks properly something like this

mat <- model.matrix( ~ 0 + your.factor )

tab <- table( your.factor )

means <- (t(mat) %*% your.block.matrix %*% mat) / outer( tab, tab )

Alternatively, use

means <-
    sapply(split.data.frame(your.block.matrix,your.factor),function(x)
 		sapply(split(colMeans(x),your.factor),mean))


HTH,

Chuck

>
> I can figure out ways to subset the matrix, similar to what Jorge
> proposed, but I'm looking for a way to get the means more or less at
> once because the matrix is pretty large and doing it block-wise is too
> slow.
>
> Thanks again!
>
> Titus
>
>
>> On 2/16/09, Titus von der Malsburg <malsburg at gmail.com> wrote:
>>>
>>> Hi list!  I have a large matrix which I'd like to partition into blocks
>>> and for each block I'd like to compute the mean.  Following a example
>>> where each letter marks a block of the partition:
>>>
>>>      a a a d g g
>>>      a a a d g g
>>>      a a a d g g
>>>      b b b e h h
>>>      b b b e h h
>>>      c c c f i i
>>>
>>> I'm only interested in the resulting matrix of means.  How can this be
>>> done efficiently?
>>>
>>> Thanks!  Titus
>>>
>>> ______________________________________________
>>> R-help at r-project.org mailing list
>>> https://stat.ethz.ch/mailman/listinfo/r-help
>>> PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
>>> and provide commented, minimal, self-contained, reproducible code.
>>>
>>
>
> ______________________________________________
> R-help at r-project.org mailing list
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.
>

Charles C. Berry                            (858) 534-2098
                                             Dept of Family/Preventive Medicine
E mailto:cberry at tajo.ucsd.edu	            UC San Diego
http://famprevmed.ucsd.edu/faculty/cberry/  La Jolla, San Diego 92093-0901