I have got a list of universities ranking with several indices like age, scale, research funding and etc. I want to do a regression analysis between ranking and other indices. Ordered data regression model seems plausible using oprobit or ologit command in Stata. However, order variable in traditional ordered data model usually takes only a few values, for instance, Standard&Poor's ratings. The number of different values of order variable, as you can see in my data set, equals exactly the number of observations whatever how many observations I have. Also, in this type of data set, adding or substracting some samples may alters the value of order variable while in usual ordered data this will not happen. I don't whether it is a good idea to make regression analysis using ordered data model.
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