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Using randsample to randomize rows

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I have 36 households. I want to study combinations of households. PR represents how many households that are combined. To make other calculations
feasible, I sample the data using randsample. However, when I increase PR to 9 or more, the number of combinations become to great for me to sample like this. Can I integrate the sampling with nchoosek somehow, or is there another way?
nHousehold =36;9 or
PR=7 ; %Number of Households that are to be selected
Hcombos=nchoosek(1:nHousehold,PR); %Number of combinations
y = randsample(length(Hcombos(:,1)),2);
for b=1:2
Hcombosnew=[Hcombosnew; Hcombos(y(b),:)];
David Hill
David Hill on 30 Mar 2021
Do you have to test all combinations or just a random sampling of the combinations?
Joel Schelander
Joel Schelander on 30 Mar 2021
Just a random sampling, since there will be too many combinations

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Accepted Answer

David Hill
David Hill on 30 Mar 2021
Edited: David Hill on 30 Mar 2021
You could run a loop however many times you want to generate the sampling and then make sure they are all different.
for k=1:1e5

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