On Dec 1, 2011, at 2:06 AM, yuying shi wrote:

Dear all,
I am doing an ordinal data simulation. I have a question regarding the cut off values between categories. Suppose I have three categories, if I do regression, there should be two cut off values. I find some simulation code for the ordinal data. However, they usually only generate a uniform random number and compare the probability with the random number.

That's not a good description of what they are doing.

Could any one be so kind to tell me the rational behind it. I don't know why we need a random number rather than just two fixed cut off values.

One way to generate a random categorical variable constrained to three values would just be to take a uniform variate on the interval [0,1] and classify it based on whether which of the three segments it is in for 0 < a < b < 1. This really is not an appropriate question for rhelp so you are advised to submit further such questions somewhere they are solicited such as statsexchange.com.

--

David Winsemius, MD
West Hartford, CT

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