A good term describing the dichotomy between stochastic and deterministic?

Question

I'm searching for a fine word-choice for X in: "The X of the model outputs can be deterministic or stochastic.":
I know that we can write that the

Size of a house is small or large
Color of a car is black or red
Your Attitude may be kind or mean

But what is, in a similar vein, a good term to use for X when I want to write that

"The X of the model outputs can be deterministic or stochastic."

I could simply write "nature" for X, but that would be unsuitable when I want to use the word separately to just mention the dichotomy explicitly.
Another word I could imagine is "epistemic nature", but I'm not sure that would be legit/understandable at all.

veryVerde · Answer

The closest word I can think of that fits your criterium is etiology. Etiology is the study of causation, so you could argue that the things causing the outputs are deterministic or or stochastic:

The etiology of the model outputs can be deterministic or stochastic.

Erdrik Ironrose · Answer

If you are talking about the process :

The generation of the model outputs can be deterministic or stochastic.

You could be referring to what is generated such as:

The values of the model outputs can be deterministic or stochastic.

Similarly if you really want to focus in on outputs as a whole:

The distribution of the model outputs can be deterministic or stochastic.

Keep in mind this is about what you want to communicate. So it's all about what this sentence is trying to support.

user405662 · Answer

How about domain ? I suppose this word is often used in mathematical parlance when suggesting a range of values.

The domain of model outputs can be deterministic or stochastic.

A good term describing the dichotomy between stochastic and deterministic?

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