[R] Permutations
Gabor Grothendieck
ggrothendieck at myway.com
Wed Jul 14 22:30:34 CEST 2004
Based on your description below and our off-list
discussion I gather than the problem is equivalent
to sampling ordered permutations in the sense
defined by Erich (i.e. permutations which are
increasing within blocks) WITHOUT replacement.
Actually one of your valid permutations in your
example is not ordered but it seems arbitrary
which representative of the 3!^4 intrablock
permutations is used which is why I believe this
solves your problem.
The following code (not extensively tested) does this:
ordered.perm <- function(N) {
samp <- function() c(apply(matrix(sample(12,12),3),2,sort))
z <- vector(length=N, mode="character")
for(i in 1:N)
while( (z[i]<-paste(samp(),collapse=" ")) %in% z[seq(len=i-1)] ) {}
matrix(as.numeric(unlist(strsplit(z, split = " "))), nc = 12, byrow = TRUE)
}
ordered.perm(3) # test run
In the above, samp(), which is from my previous
response, gets one sample WITH replacement. It generates
an unrestricted permutation of 12 and then projects that
onto its associated ordered permutation of 12. Note that
samp does not use rejection. That comes later which is
why there are relatively few rejections.
Each iteration of the for loop gets one sample without
replacement storing the unrejected sammples as
character strings in vector z. Each iteration of this
for loop uses a while to call samp() repeatedly until it
finds a sample that has not previously been generated
(i.e. rejecting the others). The line beginning
with matrix converts the strings to numbers.
Jordi Altirriba Gutiérrez <altirriba <at> hotmail.com> writes:
:
: Dear Adaikalavan,
: Now I've send a similar e-mail to Robin and Rolf, therefore I can deduce
: that my first e-mail was not enough clear (sorry).
: Therefore, I'm going to try it again with an explanation of why I don't
: want those permutations:
:
: IÂ’ve 12 elements in blocks of 3 elements and I want only to make
: permutations inter-blocks (no intra-blocks) (sorry if the terminology is not
: accurate), something similar to:
:
: 1 2 3 | 4 5 6 | 7 8 9 | 10 11 12 YES-------1st permutation
:
: 1 3 2 | 4 5 6 | 7 8 9 | 10 11 12 NO ----because it's an "intra-block"
: permutation of permutation 1
: - -
: 3 2 1 | 4 5 6 | 7 8 9 | 10 11 12 NO ----because it's an "intra-block"
: permutation of permutation 1
: - - -
: 1 2 4 | 3 5 6 | 7 8 9 | 10 11 12 YES-----2nd permutation
:
: 4 5 6 | 1 2 3 | 7 8 9 | 10 11 12 YES-----3rd permutation
:
: 4 5 6 | 2 1 3 | 7 8 9 | 10 11 12 NO ----because it's an "intra-block"
: permutation of permutation 3
: - -
: 10 1 7 | 4 8 7 | 5 6 12 | 3 2 9 YES---Xth permutation
:
: 1 10 7 | 4 8 7 | 5 6 12 | 3 2 9 NO ----because it's an
: "intra-block"permutation of permutation X
: - -
:
: So, what is a "not correct" permutation is an "intra-block" permutation of a
: permutation created before.
:
: Again, thanks for your time and suggestions,
:
: Jordi Altirriba
: PhD student
: Hospital Clinic - Barcelona - Spain
:
: P.S. Probably (it's the way of how I'm testing the algorithms now with
: Excel) [sorry if it's stupid], could be interesting something similar to:
:
: 1 2 3 | 4 5 6 | 7 8 9 | 10 11 12 ---> 1*2*3=6 | 4*5*6=120 | 7*8*9=504 |
: 10*11*12=1320
:
: 1 3 2 | 4 5 6 | 7 8 9 | 10 11 12 ---> 1*3*2=6 | 4*5*6=120 | 7*8*9=504 |
: 10*11*12=1320
:
: 4 5 6 | 1 2 3 | 7 8 9 | 10 11 12 ---> 4*5*6=120 | 1*2*3=6 | 7*8*9=504 |
: 10*11*12=1320
:
:
: Results:
: permutation1: 6 | 120 | 504 | 1320
: permutation2: 6 | 120 | 504 | 1320
: permutation3: 120 | 6 | 504 | 1320
:
: Order the permutations according first to the first parameter, second to the
: second...and to the fourth.
:
: In this case it's the same:
: permutation1: 6 | 120 | 504 | 1320
: permutation2: 6 | 120 | 504 | 1320
: permutation3: 120 | 6 | 504 | 1320
:
: Therefore, if the first, second, third and fourth parameter of a
: permutations have the same value that the next permutation it's because
: there is an "intra-block" permutation. So, permutation 2 is an "intra-block"
: permutation of permutation 1.
:
: P.S. Sorry for having forgotten the title of the last e-mail
:
:
: >From: Adaikalavan Ramasamy <ramasamy <at> cancer.org.uk>
: >To: Jordi Altirriba Gutiérrez <altirriba <at> hotmail.com>
: >CC: rksh <at> soc.soton.ac.uk, R-help <r-help <at> stat.math.ethz.ch>
: >Subject: Re: [R] Permutations
: >Date: Wed, 14 Jul 2004 18:00:49 +0100
: >
: >I think the issue here is in the two keywords - permutations or sample.
: >
: >AFAIK, permutations should return all admissible (by some rule)
: >combinations. If this is a large number, as some have pointed out, then
: >one essentially takes a _sample_ of all admissible combinations. Since
: >you earlier mentioned that you only want 5-10 outputs, perhaps the
: >correct term is sampling with restrictions.
: >
: >There main problem with Robin's method in that all elements within a row
: >are mutually exclusive to the other. e.g. only one of either 1, 4, 7, 10
: >can appear in block 1. Furthermore they can only appear in the first
: >slot of the first block (so no intra-block randomness). This limits the
: >number of possible outputs.
: >
: >Can you clearly define the rules (with examples) for an admissible
: >combination ? They seem to have a different meaning every time I read
: >the mail. Maybe I am just confused.
: >
: >
: >On Wed, 2004-07-14 at 17:16, Jordi Altirriba Gutiérrez wrote:
: > > Dear R users,
: > > First of all, thanks to Rolf, Brad, Robin, Erich, Fernando and
: >Adaikalavan
: > > for your time and suggestions.
: > > Ive been testing some algorithms (sorry for the delay, Im very slow,
: >and
: > > Im a completely beginner in Rs world).
: > > First, the Robin algorithm.
: > > I think that there is a problem because Ive done 200 permutations and
: > > Ive found that these permutations are the same:
: > > 52 and 91, 99 and 110, 121 and 122, 51 and 141, 130 and 134.
: > > Thanks again,
: > >
: > > Jordi Altirriba
: > > Hospital Clinic Barcelona - Spain
: > >
: > > >x <- c(1,2,3,4,5,6,7,8,9,10,11,12)
: > > >dim(x) <- c(3,4) a<-matrix(1,200,12)
: > > >for (i in 1:200)
: > > + {
: > > + jj <- t(apply(x,1,sample))
: > > + a[i,]<-as.vector(jj)
: > > + }
: > > >a
: > > [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8] [,9] [,10] [,11] [,12]
: > > [1,] 7 2 3 1 11 6 4 8 9 10 5 12
: > > [2,] 1 2 9 7 11 6 4 8 12 10 5 3
: > > [3,] 7 2 9 1 11 3 4 5 6 10 8 12
: > > [4,] 10 8 6 4 5 12 7 2 9 1 11 3
: > > [5,] 10 2 12 1 11 9 7 8 6 4 5 3
: > > [6,] 7 8 6 1 5 9 4 11 12 10 2 3
: > > [7,] 1 5 12 7 2 6 4 8 9 10 11 3
: > > [8,] 1 5 9 10 8 6 4 2 3 7 11 12
: > > [9,] 1 11 6 7 2 12 4 5 9 10 8 3
: > > [10,] 4 5 12 10 11 9 1 8 6 7 2 3
: > > [11,] 1 11 9 7 5 6 4 8 12 10 2 3
: > > [12,] 1 8 3 4 2 12 10 5 9 7 11 6
: > > [13,] 1 2 3 7 11 6 10 5 12 4 8 9
: > > [14,] 4 8 3 10 5 12 7 2 9 1 11 6
: > > [15,] 10 2 3 4 8 6 7 11 9 1 5 12
: > > [16,] 4 8 9 10 2 12 7 5 6 1 11 3
: > > [17,] 1 2 6 10 5 3 7 8 12 4 11 9
: > > [18,] 10 2 9 4 11 12 1 5 6 7 8 3
: > > [19,] 4 8 6 7 11 12 1 2 9 10 5 3
: > > [20,] 1 8 12 7 2 3 10 11 6 4 5 9
: > > [21,] 10 2 12 1 5 9 7 11 6 4 8 3
: > > [22,] 4 11 12 1 2 3 10 8 6 7 5 9
: > > [23,] 1 11 3 7 2 6 10 5 9 4 8 12
: > > [24,] 7 2 9 10 5 12 1 11 3 4 8 6
: > > [25,] 7 8 9 1 2 6 4 5 3 10 11 12
: > > [26,] 4 5 12 10 2 3 7 11 6 1 8 9
: > > [27,] 4 5 9 1 11 3 7 8 12 10 2 6
: > > [28,] 1 5 6 4 11 3 7 8 9 10 2 12
: > > [29,] 4 5 6 1 11 9 10 2 12 7 8 3
: > > [30,] 4 11 3 7 8 12 10 5 6 1 2 9
: > > [31,] 10 2 3 1 11 6 7 8 9 4 5 12
: > > [32,] 10 2 3 7 8 9 1 11 6 4 5 12
: > > [33,] 7 11 6 1 8 9 4 5 12 10 2 3
: > > [34,] 7 5 12 1 8 6 4 11 3 10 2 9
: > > [35,] 1 2 3 4 8 6 7 5 9 10 11 12
: > > [36,] 7 8 3 1 11 9 10 2 12 4 5 6
: > > [37,] 10 2 6 1 11 12 7 5 3 4 8 9
: > > [38,] 1 5 9 4 11 12 7 8 3 10 2 6
: > > [39,] 1 2 12 7 5 9 10 8 3 4 11 6
: > > [40,] 1 8 3 10 2 12 7 11 6 4 5 9
: > > [41,] 1 2 9 4 8 3 10 11 12 7 5 6
: > > [42,] 4 5 6 1 2 9 10 8 3 7 11 12
: > > [43,] 1 2 6 7 11 12 10 5 9 4 8 3
: > > [44,] 1 2 9 10 11 12 4 8 6 7 5 3
: > > [45,] 10 5 9 7 11 6 4 2 3 1 8 12
: > > [46,] 1 2 3 4 11 6 7 5 9 10 8 12
: > > [47,] 4 2 6 1 8 3 10 5 12 7 11 9
: > > [48,] 4 8 9 7 2 3 1 5 12 10 11 6
: > > [49,] 10 8 12 1 2 9 4 11 3 7 5 6
: > > [50,] 10 8 6 1 2 3 7 5 12 4 11 9
: > > [51,] 7 2 12 10 11 6 4 8 3 1 5 9
: > > [52,] 4 5 6 1 2 12 10 11 9 7 8 3
: > > [53,] 1 2 3 7 5 6 4 8 9 10 11 12
: > > [54,] 10 5 3 7 11 9 1 8 6 4 2 12
: > > [55,] 7 11 12 4 2 3 10 8 6 1 5 9
: > > [56,] 1 5 9 4 11 12 10 8 3 7 2 6
: > > [57,] 4 5 9 7 11 3 10 2 6 1 8 12
: > > [58,] 10 11 3 4 5 6 1 8 12 7 2 9
: > > [59,] 4 8 9 10 5 6 7 2 3 1 11 12
: > > [60,] 4 2 12 1 8 6 10 5 9 7 11 3
: > > [61,] 4 8 6 7 11 9 10 5 12 1 2 3
: > > [62,] 7 8 3 10 5 6 1 11 12 4 2 9
: > > [63,] 10 5 3 7 8 6 1 2 9 4 11 12
: > > [64,] 10 2 9 4 11 12 1 5 3 7 8 6
: > > [65,] 1 11 6 4 8 12 7 2 3 10 5 9
: > > [66,] 1 5 3 7 11 9 4 2 12 10 8 6
: > > [67,] 4 2 6 7 5 12 10 8 9 1 11 3
: > > [68,] 4 11 12 10 2 3 7 8 6 1 5 9
: > > [69,] 4 5 6 10 2 3 7 8 9 1 11 12
: > > [70,] 1 11 12 10 2 6 4 5 3 7 8 9
: > > [71,] 10 5 6 7 8 12 4 2 9 1 11 3
: > > [72,] 10 8 12 1 11 9 7 5 3 4 2 6
: > > [73,] 10 8 3 7 11 9 4 5 12 1 2 6
: > > [74,] 7 2 12 1 5 6 4 8 9 10 11 3
: > > [75,] 7 2 12 10 8 9 1 11 6 4 5 3
: > > [76,] 7 2 3 1 5 9 4 8 12 10 11 6
: > > [77,] 1 11 3 10 5 6 7 2 9 4 8 12
: > > [78,] 7 2 6 10 11 12 4 8 9 1 5 3
: > > [79,] 10 8 6 7 5 3 1 2 9 4 11 12
: > > [80,] 10 11 3 7 2 12 4 8 6 1 5 9
: > > [81,] 10 5 6 1 8 3 4 11 9 7 2 12
: > > [82,] 1 11 3 7 5 12 10 2 6 4 8 9
: > > [83,] 4 11 9 10 5 12 7 2 6 1 8 3
: > > [84,] 1 11 12 7 8 3 4 2 6 10 5 9
: > > [85,] 10 2 9 7 5 6 1 11 12 4 8 3
: > > [86,] 7 11 9 4 5 6 10 2 12 1 8 3
: > > [87,] 4 5 12 7 2 3 10 11 6 1 8 9
: > > [88,] 1 2 12 7 5 3 10 8 6 4 11 9
: > > [89,] 1 8 12 7 11 9 10 2 6 4 5 3
: > > [90,] 4 5 3 10 11 9 7 2 6 1 8 12
: > > [91,] 4 5 6 1 2 12 10 11 9 7 8 3
: > > [92,] 10 11 9 7 5 12 1 2 6 4 8 3
: > > [93,] 4 2 3 7 8 6 1 11 12 10 5 9
: > > [94,] 4 5 3 10 2 12 7 8 9 1 11 6
: > > [95,] 4 8 3 10 11 9 1 2 6 7 5 12
: > > [96,] 7 5 12 10 11 3 1 8 9 4 2 6
: > > [97,] 4 2 3 1 8 6 7 11 9 10 5 12
: > > [98,] 4 11 9 7 5 12 10 8 6 1 2 3
: > > [99,] 1 11 12 4 5 6 7 8 3 10 2 9
: > > [100,] 1 8 3 7 5 6 10 2 12 4 11 9
: > > [101,] 7 11 6 4 8 3 1 2 12 10 5 9
: > > [102,] 7 11 12 1 2 3 10 8 6 4 5 9
: > > [103,] 4 5 12 1 2 9 7 8 3 10 11 6
: > > [104,] 10 11 12 4 8 3 7 5 9 1 2 6
: > > [105,] 10 5 9 1 2 3 4 8 6 7 11 12
: > > [106,] 10 11 9 1 2 12 7 8 3 4 5 6
: > > [107,] 10 11 3 4 8 9 7 5 12 1 2 6
: > > [108,] 7 2 6 1 11 9 4 5 12 10 8 3
: > > [109,] 1 8 6 7 2 12 10 5 3 4 11 9
: > > [110,] 1 11 12 4 5 6 7 8 3 10 2 9
: > > [111,] 7 8 6 1 5 3 10 2 12 4 11 9
: > > [112,] 4 8 3 7 5 6 1 2 9 10 11 12
: > > [113,] 1 2 9 4 11 6 7 5 3 10 8 12
: > > [114,] 4 11 9 1 8 6 7 2 3 10 5 12
: > > [115,] 10 8 3 4 11 12 7 2 9 1 5 6
: > > [116,] 7 11 12 1 2 3 4 8 9 10 5 6
: > > [117,] 1 5 3 10 11 12 7 8 9 4 2 6
: > > [118,] 1 11 6 4 2 9 10 5 12 7 8 3
: > > [119,] 10 2 3 1 5 9 4 8 12 7 11 6
: > > [120,] 1 2 3 4 11 12 7 8 9 10 5 6
: > > [121,] 7 8 3 4 5 12 10 2 6 1 11 9
: > > [122,] 7 8 3 4 5 12 10 2 6 1 11 9
: > > [123,] 4 5 3 10 11 9 7 8 6 1 2 12
: > > [124,] 4 5 6 7 11 9 1 8 12 10 2 3
: > > [125,] 10 8 6 1 11 9 4 2 12 7 5 3
: > > [126,] 10 8 12 4 11 9 7 2 6 1 5 3
: > > [127,] 7 8 12 1 11 6 10 5 9 4 2 3
: > > [128,] 1 8 12 10 11 3 7 5 9 4 2 6
: > > [129,] 7 8 3 10 2 6 1 11 9 4 5 12
: > > [130,] 7 11 9 1 2 6 10 8 3 4 5 12
: > > [131,] 10 2 3 4 11 9 1 5 6 7 8 12
: > > [132,] 4 11 3 1 5 9 10 2 6 7 8 12
: > > [133,] 10 2 12 7 8 3 4 5 6 1 11 9
: > > [134,] 7 11 9 1 2 6 10 8 3 4 5 12
: > > [135,] 7 8 3 4 11 6 10 2 9 1 5 12
: > > [136,] 10 8 9 7 11 12 1 2 6 4 5 3
: > > [137,] 10 8 12 4 5 3 1 2 9 7 11 6
: > > [138,] 1 2 6 10 8 12 7 11 9 4 5 3
: > > [139,] 4 5 3 7 11 9 1 2 12 10 8 6
: > > [140,] 4 5 12 7 8 6 10 11 3 1 2 9
: > > [141,] 7 2 12 10 11 6 4 8 3 1 5 9
: > > [142,] 10 11 12 7 2 6 1 5 3 4 8 9
: > > [143,] 7 2 3 10 11 6 1 8 9 4 5 12
: > > [144,] 1 2 9 10 5 12 4 8 3 7 11 6
: > > [145,] 1 11 6 4 8 9 7 5 12 10 2 3
: > > [146,] 4 5 3 10 2 6 1 11 9 7 8 12
: > > [147,] 7 11 9 1 2 3 10 8 12 4 5 6
: > > [148,] 4 2 3 1 5 12 7 8 6 10 11 9
: > > [149,] 10 11 12 4 8 3 1 2 9 7 5 6
: > > [150,] 4 8 3 10 5 6 1 11 9 7 2 12
: > > [151,] 1 8 6 10 5 9 4 11 3 7 2 12
: > > [152,] 4 8 6 7 11 12 10 5 3 1 2 9
: > > [153,] 7 2 3 10 5 6 4 11 9 1 8 12
: > > [154,] 10 5 12 1 8 9 7 2 3 4 11 6
: > > [155,] 1 8 6 4 2 9 10 5 3 7 11 12
: > > [156,] 10 2 3 7 5 9 4 11 12 1 8 6
: > > [157,] 10 5 3 1 2 6 7 8 9 4 11 12
: > > [158,] 7 11 12 4 5 9 10 8 3 1 2 6
: > > [159,] 7 5 3 1 8 12 10 2 6 4 11 9
: > > [160,] 7 2 6 4 11 3 1 5 12 10 8 9
: > > [161,] 7 5 3 1 2 12 4 8 9 10 11 6
: > > [162,] 7 8 12 1 5 6 10 11 9 4 2 3
: > > [163,] 10 11 9 4 8 6 1 2 3 7 5 12
: > > [164,] 7 11 6 1 5 9 4 2 12 10 8 3
: > > [165,] 4 11 9 10 8 3 7 2 12 1 5 6
: > > [166,] 4 2 6 10 8 9 7 11 12 1 5 3
: > > [167,] 7 5 3 10 2 12 4 8 6 1 11 9
: > > [168,] 1 8 12 7 2 3 4 5 9 10 11 6
: > > [169,] 7 8 12 1 5 6 4 2 3 10 11 9
: > > [170,] 4 5 3 7 8 9 1 2 12 10 11 6
: > > [171,] 7 11 9 1 8 6 4 2 12 10 5 3
: > > [172,] 10 8 3 1 2 9 4 11 12 7 5 6
: > > [173,] 10 5 12 7 8 9 4 11 3 1 2 6
: > > [174,] 10 11 6 7 5 3 4 8 12 1 2 9
: > > [175,] 7 11 12 1 2 3 10 8 9 4 5 6
: > > [176,] 1 11 12 7 2 3 4 8 9 10 5 6
: > > [177,] 10 11 12 4 5 3 7 8 6 1 2 9
: > > [178,] 10 5 3 7 2 6 4 8 12 1 11 9
: > > [179,] 1 5 6 7 2 9 10 11 3 4 8 12
: > > [180,] 1 11 12 10 5 6 4 2 3 7 8 9
: > > [181,] 7 2 12 4 11 9 1 5 6 10 8 3
: > > [182,] 10 11 12 1 5 3 7 8 9 4 2 6
: > > [183,] 4 8 3 1 11 9 7 2 6 10 5 12
: > > [184,] 4 8 9 7 2 3 10 5 6 1 11 12
: > > [185,] 10 11 9 1 5 6 7 2 12 4 8 3
: > > [186,] 10 5 12 4 8 9 7 2 6 1 11 3
: > > [187,] 4 2 3 1 8 6 7 5 12 10 11 9
: > > [188,] 10 2 9 4 11 12 1 8 3 7 5 6
: > > [189,] 10 2 12 7 11 3 4 5 9 1 8 6
: > > [190,] 4 5 6 7 8 3 10 11 9 1 2 12
: > > [191,] 10 5 9 1 2 3 7 11 12 4 8 6
: > > [192,] 4 11 9 7 2 6 10 5 3 1 8 12
: > > [193,] 10 11 12 1 2 6 4 5 9 7 8 3
: > > [194,] 10 2 3 4 11 12 7 5 6 1 8 9
: > > [195,] 4 2 6 7 8 9 1 11 3 10 5 12
: > > [196,] 10 2 12 4 8 6 7 5 3 1 11 9
: > > [197,] 7 5 12 4 11 9 1 2 3 10 8 6
: > > [198,] 10 5 6 1 11 3 7 2 9 4 8 12
: > > [199,] 1 2 9 7 11 3 4 8 6 10 5 12
: > > [200,] 4 8 3 7 11 12 1 2 6 10 5 9
: > >
: > >
: > >
: > > >From: Robin Hankin <rksh <at> soc.soton.ac.uk>
: > > >To: Jordi Altirriba Gutiérrez <altirriba <at> hotmail.com>
: > > >CC: r-help <at> stat.math.ethz.ch
: > > >Subject: Re: [R] (no subject) (was: Permutations)
: > > >Date: Wed, 14 Jul 2004 09:11:48 +0100
: > > >
: > > >Jordi
: > > >
: > > >try this
: > > >
: > > >
: > > >R> x <- c(1,2,3, 10,11,12, 41,42,43, 81,82,83)
: > > >R> dim(x) <- c(3,4)
: > > >R> x
: > > > [,1] [,2] [,3] [,4]
: > > >[1,] 1 10 41 81
: > > >[2,] 2 11 42 82
: > > >[3,] 3 12 43 83
: > > >R> jj <- t(apply(x,1,sample))
: > > >R> jj
: > > > [,1] [,2] [,3] [,4]
: > > >[1,] 1 41 10 81
: > > >[2,] 2 11 82 42
: > > >[3,] 12 3 43 83
: > > >R> as.vector(jj)
: > > >R>
: > > > [1] 1 2 12 41 11 3 10 82 43 81 42 83
: > > >
: > > >
: > > >
: > > >
: > > >and I think that does what you want...
: > > >
: > > >We take the vector, rearrange it into a matrix with three rows, then
: >sample
: > > >*within* the rows,
: > > >then rearrange into a vector again.
: > > >
: > > >There will be one forbidden permutation, namely the identity (which may
: >or
: > > >may not be
: > > >desirable).
: > > >
: > > >This method doesn't allow "intra block" permutations.
: > > >
: > > >best
: > > >
: > > >rksh
: > > >
: > > >
: > > >
: > > >> Dear R users,
: > > >> First of all, thanks for the incredibly fast answers and help of
: >Rolf,
: > > >>Marc and Robert.
: > > >> Yes, I noticed that it was a lot of permutacions, but my intention
: >was
: > > >>to make this process automatic and take only 5.000 - 10.000
: >permutations.
: > > >>Therefore, I wanted only to take that "interesting permutations" with
: > > >>"some information" [inter-block permutations].
: > > >> The reason why I'm interested in these permutations is because I'm
: >using
: > > >>some packages of Bioconductor to analyse my data from some microarrays
: >and
: > > >>I thought that perhaps could be interesting to see what happens when I
: > > >>permute my data and I compare it against the not permuted data.
: > > >> Thanks again for your time and suggestions.
: > > >>
: > > >>Jordi Altirriba
: > > >>Ph. D. Student
: > > >>
: > > >>Hospital Clinic-Barcelona-Spain
: > > >>
: > > >>______________________________________________
: > > >>R-help <at> stat.math.ethz.ch mailing list
: > > >>https://www.stat.math.ethz.ch/mailman/listinfo/r-help
: > > >>PLEASE do read the posting guide!
: > > >>http://www.R-project.org/posting-guide.html
: > > >
: > > >
: > > >--
: > > >Robin Hankin
: > > >Uncertainty Analyst
: > > >Southampton Oceanography Centre
: > > >SO14 3ZH
: > > >tel +44(0)23-8059-7743
: > > >initialDOTsurname <at> soc.soton.ac.uk (edit in obvious way; spam
: >precaution)
: > >
: > > ______________________________________________
: > > R-help <at> stat.math.ethz.ch mailing list
: > > https://www.stat.math.ethz.ch/mailman/listinfo/r-help
: > > PLEASE do read the posting guide!
: >http://www.R-project.org/posting-guide.html
: > >
: >
:
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