Data can be described as being quantitative or qualitative. If qualitative, it can be described as n

Finley Mckinney

Finley Mckinney

Answered question

2022-06-27

Data can be described as being quantitative or qualitative. If qualitative, it can be described as nominal or ordinal. In order to be ordinal, you must be able to order the data in a meaningful way; therefore, being able to order pins from least to greatest does not make them ordinal, I know.
I am wondering though, why can't pins be described as ordinal given they can be ordered in terms of complexity, by the number of repeating digits, etc? EDIT: In this case, the order would be meaningful in a study about links between simple pin numbers and stolen credit cards for instance.

Answer & Explanation

Lisbonaid

Lisbonaid

Beginner2022-06-28Added 22 answers

Well, they can be. In fact most PIN numbers start with 1, because for one thing people tend to use dates in the 1900s and also Benford's law shares some of the blame. So treating them as if they have a numeric meaning can actually yield some insights.
The reason they are considered "nominal" is that for most purposes their numeric value has no meaning. To verify a transaction all that matters is that the PIN entered matches the one on file, i.e. we need only to be able to determine if 2 PINs are the same. There are still investigations that can be made on that basis, for example exactly how common is the nth most common PIN?
Your idea about measuring the complexity is also fine. Perhaps having a weak PIN is correlated with being a fraud victim in which case it could make sense to compute a "complexity score" from the PIN and treat that as a quantitative value.

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