You could consider it as an ordinal scale, i.e. the consequences ordered

none - first aid - med treatment - permanent disability - fatality. There

are techniques for analysing such ordinal scaled variables But

admittedly I did not quite exactelly understand what you are

trying to achieve.

With kind regards

Karabiner

Hey

@Karabiner
I will need to look into that ordinal scale.

I will give you a scenario of how I am trying to apply this... first I will provide some parameters that we use in risk to rate a risk (typically 5x5 matrix)

Safety Risk Outcome Descriptors (low-high)

No injury/First aid - Medical Treatment - Temp Disability - Perm Disability - Single/multi Fatality

Likelihood of Occurrence Descriptors (low-high)

Monthly - Yearly - 5 Yearly - 30 yearly - 100 yearly

If I took a hazard like a chainsaw. there are a few things I need to consider. First is what is the potential range of outcomes that are possible from an incident with a chainsaw. In this case a chainsaw has the potential to result in an injury from No treatment->Fatality so it covers all options, but for example a staplers range would probably only be No treatment -> Temp Disability. VS what incident outcomes have actually happened.

Then I would like to show...

What is the probability of the number of chainsaw incidents for next year: this one is easy because I can find the mean of previous years data assuming there ha been no operational changes (eg. we haven't decided to buy or become arborists)

What is the probability of injury outcome should an incident occur: This one is much harder because data is limited, I would say for certain we have no incidents of fatality in known record. But that doesn't mean that the probability doesn't exist.

So I guess what im trying to wrap my head around is... Lets say the data says I had 10 incidents last year and all 10 were temp disability... Would my standard deviation be.... First aid<---2 Med Treatment<---1 Temp Disability(0) -->+1Perm Disability -->+2 Fatality ? I don't think I am sold on it being this because it hard to assign a "value" to the difference between Perm Disability and fatality. Is it twice as unlikely? 10x as unlikely? 1000x?

Thoughts?

M