(adsbygoogle = window.adsbygoogle || []).push({}); I am looking for a term to describe a sort of "optimization" that I am trying to do.

Hi everybody, I am a college student who unfortunately is not smart enough to be a math major. But nonetheless I am obsessed with statistics and numbers. I have a question:

I need help figuring out a term, or a statistical method to describe and help me solve what I am looking to do.

I will give you the layout of my project (it is not real, just a good way of explaining what i am trying to accomplish):

I gave 40 students a test on Day 1, (test 1, 2, 3, or 4). At random, I gave them either test 1,2,3,4,5 or No test (0) on Day 2. But made sure not to repeat tests so a student cannot take test 2 on both days. I have averaged their scores and listed which students received which tests in my attachment so you can have a visual representation.

What I am trying to do, and what I would like some help on is:

Creating 4 groups of 4 students who only have one test in common

Group 1: (1,0), (2,1), (4,1), (1,5)

Group 2: (2,4), (2,1)*Different person than group 1, (3,2), (2,0)

ect.

But here is where I have trouble (even explaining), I want to make it so that each group is optimized in way that the groups have the highest possible score, while keeping the standard deviation of the groups at a minimum.

So basically is there a term, or analysis method that would help me figure out what I am trying to do. I figured there has to be a way to weight the standard deviation, so that I have the most equal groups possible, while still having the highest scores.

Think of it as if I were assembling a team for a competition, and I wanted to make each group as strong as possible for a single test (the one they have in common), while also making sure they had diversity in their knowledge. This is where I get optimization from, I am trying to optimize my team.

Does this make sense? If not please dont just ignore this, feel free to ask me a question if you are confused, and any help at all will be much appreciated.

- Sincerely, Mike

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# I am looking for a term to describe a sort of optimization that I am trying to do.

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