topic How to interpret parameters for weibull in Discussions

How to interpret parameters for weibull

StatsHeadache — Wed, 27 Mar 2024 22:36:32 GMT

I got this result in cumulative damage step stress - is b1 a threshold?

Re: How to interpret parameters for weibull

txnelson — Thu, 28 Mar 2024 01:22:07 GMT

Try going to the Tools and clicking on the "?" and then click on the table and it will display the help page for the report table.

Re: How to interpret parameters for weibull

Mark_Bailey — Thu, 28 Mar 2024 14:00:19 GMT

Are you using an Arrhenius transform? I think b0 and b1 are the intercept and slope for the linearization of the Alpha parameter of the Weibull distribution.

Re: How to interpret parameters for weibull

MRB3855 — Thu, 28 Mar 2024 15:32:48 GMT

Hi @StatsHeadache : this may be of some help.

https://www.jmp.com/support/help/en/17.2/index.shtml#page/jmp/cumulative-damage-platform-options.shtml

In particular:

Also see here: https://www.jmp.com/support/help/en/17.2/index.shtml#page/jmp/statistical-details-for-distributions-2.shtml#ww1553215

Re: How to interpret parameters for weibull

StatsHeadache — Thu, 28 Mar 2024 16:09:01 GMT

No its a linear prediction

Re: How to interpret parameters for weibull

StatsHeadache — Thu, 28 Mar 2024 16:13:51 GMT

OK thats the best answer, but the slope is usually Beta, and perhaps intercept can be interpreted as threshold - that would work, that leave Eta usually described as scale factor as negative, which isn't possible.

Which leaves my best guess as:

b0 = eta

b1 = threshold (lambda)

beta = beta (slope)

Re: How to interpret parameters for weibull

StatsHeadache — Thu, 28 Mar 2024 16:16:31 GMT

Ok wait, maybe yes! looks like the equation below matches and X is number of events? creating mu, which would be eta in the weibull distribution?

Re: How to interpret parameters for weibull

peng_liu — Mon, 01 Apr 2024 01:14:41 GMT

X is your acceleration factor, e.g. temperature, voltage, etc.

If your "eta" is "alpha" on this page Statistical Details for Distributions , then exp(mu) is your "eta".