So im doing a little project, and I have various tolerances for various parts. All these tolerances add up, and if the values are too large, what my machine is trying to do won't work.
I know one way to analyze this is simple to take the greatest error and add it, but the chances that each error will contribute is maximum amount to the total error is unlikely.
Is there any way to add this up and do some standard deviation stuff or anything so that I get a distribution of how likely the sum of all these errors is going to get?
I can easily just take the standard deviation of all the individual errors, but I'm not sure what that tells me in this case, My experiance with statics is rather limited, and consists mostly of my knowledge from grading curves, so sorry if this post makes no sense at all. I'd appreciate any help or links to any wikipedia articles or whatnot that may be able to help me.
However if you know what the machinery is and the nature of the errors
in what it does you should be able to estimate the standard deviations.
In fact in your original post you talk about adding the greatest errors,
if you have these you may be in luck. It is often the case that you can
treat the SD as 1/3 of the maximum error (at least for a first guess)
Thanks a lot to both of you.
I think I figured out the stuff from that article, and it makes more sense now, especially when I assume that the error is 3 times the STD. I've found various sources saying that the min/max error is usually a multiple of the STD, but they say anything from 1/3 to 1/1. I've been playing around with the STD being different fractions of the min/max errors and although the results vary, I now understand the concept and with a little more research, I should be well on my way. Thanks.