I realize there is probably a forum on here already that addresses this, but I am probably missing what term(s) to search for.
The situation is, we have an online form that allows users to put in 4 whole numbers. The minimum the form will accept is 70, and the maximum is 300. Sometimes, numbers outside this range are actually OK if the numbers relate to each other properly. For instance, a good set is:
An acceptable set, outside those limits on the high end, is:
An acceptable set on the low end might be:
An unacceptable set would be:
Above, the first number is FAR too low, and the gap between 1 & 2 is also too large.
Another unacceptable set would be:
The pattern we're looking for is:
- "Acceptable" range which is really more like 45-130 for point 1. First point can't be above 130, this actually IS an inflexible requirement. Could realistically be much lower than 70. Anything lower than 45 would be suspect her and a more realistic cutoff.
- Should be higher than point 1. Above 300 is suspect, but might be fine if point 1 is relatively high.
- Should be lower than point 2
- Probably Lower than point 3, but could be the same or very slightly higher and still be considered acceptable.
So, a curve of sorts. I'm looking for some ideas of formulas to use to look at our ACTUAL accepted data to make a better form (with more realistic limits), and maybe even use a formula to evaluate the results relative to one another instead of just using high and low cutoffs.
It's been probably a decade since I took a math class so I'm really starting from scratch here, even just a nudge in the right direction would be great.
- What is the name for this type of "curve evaluation" as I'm calling it?
- What should I research further to find out what's possible here?
I'm thinking either calculus (because curves) or statistics, or a combination of the two, because I want to use existing data to inform what would probably be some kind of calculus formula that I'd use to evaluate incoming data sets for validity.