Statistical method to arrange a set of variables in subsets
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Nourhan Elsayed
on 13 Oct 2020
Commented: Ameer Hamza
on 14 Oct 2020
dear all
i have a general mathematical question
i have an array of different numbers. size of the array is 16 x 6. i want to form a subset of a vector of size 1 x6 . each element of the vector is selected from the column that have the same index as this element .
example:
master Array is =
a1 b1 c1 d1 e1 f1
a2 b2 c2 d2 e2 f2
a3 b3 c3 d3 e3 f3
.
.
.
a16 b16 c16 d16 e16 f16
subset = a1 b2 c4 d3 e3 f13
all subsets must be on the order of a'b'c'd'e'f
what is the method that can form all possible subsets combined of the given master array. and what are the statistical therories that are applied to this sience of data sorting
3 Comments
Ameer Hamza
on 13 Oct 2020
16^6 combinations exist after excluding non-''a,b,c,d,e,f,g'' combinations.
Accepted Answer
Ameer Hamza
on 13 Oct 2020
This code shows how to generate all combinations as you mentioned in your question
M = rand(16, 6); % example
rows = cell(1,6);
[rows{:}] = ndgrid(1:16);
rows = cellfun(@(x) {x(:)}, rows);
rows = [rows{:}];
cols = repmat(1:6, size(rows,1), 1);
idx = sub2ind(size(M), rows, cols);
M_out = M(idx);
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