how to generate random data (dichotomous 0-1) with normal distrubition

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Selin Soguksu 2012-3-27

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Hello, I am a measurement and evaluation student and I want to generate [10000,10] random data with matlab. But these data includes only 0 and 1 and has a normal distrubition. First I used binornd function, but the data I generated did not have normal distrubition. Then I used normrnd function, but the datas I created has decimal points and some of them are negative. Please help me... Beril

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RNTL 2012-3-27

If your set contain only two values, namely [0,1] how can it has normal distribution?

Your set should be defined by a probability function that is nonzero only for those two values, hence it cannot be derived from normal distribution.

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Answer 1

RNTL 2012-3-27

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If your set contain only two values, namely [0,1] how can it has normal distribution? Your set should be defined by a probability function that is nonzero only for those two values, hence it cannot be derived from normal distribution

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Answer 2

Image Analyst 2012-3-27

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在 MATLAB Online 中打开

Maybe you want randi

zerosAndOnes = randi(2, [1 1000]) - 1

but it's not going to be a normal distribution. That's impossible with only two values.

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Jonathan Sullivan 2012-3-27

I think when he says "normally" distributed, I think he means *uniformly* distributed. That's my guess.

Image Analyst 2012-3-27

andrei: yep. Jonathan: maybe he wants a random distribution where there are equal numbers of 1's and 0's??? Maybe if those numbers are equal he's calling *that* normal or uniform. Or maybe he just doesn't care anymore and went away. I don't know why Beril is not clearing this up.

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Answer 3

Selin Soguksu 2012-3-28

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Hello, Thank you for the answers. I am studying simulation in Matlab. I want to explain my trouble a little more. I have a test which contains 30 items and 10000 sample. When a sample has a success in an item he has 1 point or has failure in an item he has 0 point. Then for every sample, I calculate their total scores. Now I have a one column and 10000 rows [10000,1] which includes total scores of the samples. Now I want these scores normally distributed. So I have to make a simulation including [10000,30] matrix which has only zeros and ones. And the total scores has a normal distrubition. Thank you.

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Daniel Shub 2012-3-28

This cannot be a normal distribution. If I create a 1e4x30 matrix of 0 or 1, the total will always be an integer between 0 and 30. Are you sure you do not want a binomial distribution? Is the score on item i independent from the score on item j?

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