Minimise Number of Experiments ( 15 choose 2 with Restictions)

d_barnett

I am trying to design an experiment that currently has 15 individual liquids in it and I want to design an experiment that uses these in binary combinations. This is straightforward but I have a resitriction that I can only use 10 of these at any one time.

 

How can I design this to minimise the number of individual experiments I have to do? This is similar to blocking but with the factor limited to 10. This does need to be scalable as I will have to design experiments in the future with different numbers of liquids.

 

Regards

David

KarenC

JMP 14 added a balanced incompelete block design platform. You could see if that is appropriate for what you are trying to achieve.