Hi Dave,

maybe you can find these functions useful:


matSums <- function(lis){
out <- array(data=0., dim=dim(lis[[1]]))
for(i in seq(along=lis)) out <- out + lis[[i]]
out
}
##
matMeans <- function(lis) matSums(lis) / length(lis)
##
matFun <- function(lis, FUN, ...){
if(!is.list(lis) || !all(sapply(lis, is.matrix))) stop("'lis' must be a list containing 2-dimensional arrays")
dims <- sapply(lis, dim)
n <- dims[1, 1]
p <- dims[2, 1]
if(!all(n==dims[1,]) || !all(p==dims[2,])) stop("the matrices must have the same dimensions")
out <- apply(matrix(unlist(lis), n * p, length(lis)), 1, FUN, ...)
dim(out) <- c(n, p)
out
}
# The first two are faster than "matFun(lis, sum)" or "matFun(lis, mean)"
# for large and many matrices
#############


matFun <- function(lis, FUN, ...){
if(!is.list(lis) || !all(sapply(lis, is.matrix))) stop("'lis' must be a list containing 2-dimensional arrays")
dims <- sapply(lis, dim)
n <- dims[1, 1]
p <- dims[2, 1]
if(!all(n==dims[1,]) || !all(p==dims[2,])) stop("the matrices must have the same dimensions")
out <- apply(matrix(unlist(lis), n*p, length(lis)), 1, FUN, ...)
dim(out) <- c(n, p)
out
}
###########
lis <- list(matrix(c(2,2,2,2), ncol = 2), matrix(c(4,4,4,4), ncol = 2), matrix(c(5,5,5,5), ncol=2))


matSums(lis)
matFun(lis, sum)

matMeans(lis)
matFun(lis, mean)

matFun(lis, median)
matFun(lis, sd)


Best, Dimitris

----
Dimitris Rizopoulos
Ph.D. Student
Biostatistical Centre
School of Public Health
Catholic University of Leuven

Address: Kapucijnenvoer 35, Leuven, Belgium
Tel: +32/16/336899
Fax: +32/16/337015
Web: http://www.med.kuleuven.ac.be/biostat/
    http://www.student.kuleuven.ac.be/~m0390867/dimitris.htm




----- Original Message ----- From: "David Kane" <[EMAIL PROTECTED]>
To: <[email protected]>
Sent: Tuesday, May 10, 2005 4:03 PM
Subject: [R] summary statistics for lists of matrices or dataframes



Is there a simple way to calculate summary statistics for all the
matrices or dataframes in a list? For example:

z <- list(matrix(c(2,2,2,2), ncol = 2), matrix(c(4,4,4,4), ncol = 2))
z
[[1]]
    [,1] [,2]
[1,]    2    2
[2,]    2    2

[[2]]
    [,1] [,2]
[1,]    4    4
[2,]    4    4


I would like to calculate, for example, the mean value for each cell. I can do that the hard way as:

(z[[1]] + z[[2]]) / 2
    [,1] [,2]
[1,]    3    3
[2,]    3    3


But there must be an easier way. I am also interested in other
statistics (like median and sd). Since all my matrices have the same
attributes (especially row and column names), I would like to preserve
those in the answer.


Thanks,

Dave Kane

In case it matters:

R.version
        _
platform i686-pc-linux-gnu
arch     i686
os       linux-gnu
system   i686, linux-gnu
status
major    2
minor    1.0
year     2005
month    04
day      18
language R


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