From: "Wall, Steven" on
SAS-L:

A request from a co-worker is included below regarding a bootstrapping appr=
oach to clustering. I have a tentative solution that I think is working co=
rrectly, but would feel better if I could discuss the problem with others h=
ave done something similar.

In short(?), my approach was to:

- create an alternate version of the original input dataset by sampling it =
with replacement
- running that alternate version through PROC CLUSTER and PROC TREE
- post-processing the output from PROC TREE to create unique text-string id=
entifiers for each cluster
- store that result
- rinse and repeat n-thousand times

I had a followup program then to summarize the n-thousand samples and count=
how many times each cluster appeared. If it appeared > 50% of the time, w=
e labeled the node on the original cluster with the percentage.

If you think the following sounds familiar and are willing to share your wo=
rk, please let me know.

Thanks.
Steve

Original request:
In a nut shell bootstrapping a dendrogram involves the creation of any numb=
er of data sets based on the original allele data. The idea is the give on=
e confidence in how the the GE's cluster. Generally, to have 95% confidenc=
e in a cluster you would bootstrap the data set 2000 times. So this means =
you create 2000 data sets (allele data) by replacement bootstrapping(my und=
erstanding is you conduct random draws of loci across GE's and until you've=
selected the same number of loci that occurred in the original data set. =
The replacement concept is key because each loci would have the same opport=
unity to be drawn each time, ie. loci could occur in the same data set mult=
iple times). Next you would create 2000 distance matrices and subsequently=
2000 dendrograms from all this data. This is where it might get dicy and =
I had to use Phylip to do this, but you have to assess all the dendrograms =
to determine the number of times specific branches occurred across all 2000=
trees. The closer the count it to 2000, the stronger the evidence is that=
the branching is "real". The output ends up being a "consensus" dendrogra=
m with the % of time each branch occurred.



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