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Dec 8, 2014 12:29 PM
(4162 views)

Can anyone suggest a way to run "Fit Life by X" when the form is

mu (log lifetime) = beta0 + X^(beta1)?

From running the reciprocal and custom relations, beta1 values between -1 and -2 seems to give the best fit to the observed failure times.

Many thanks!

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Jan 21, 2015 11:29 AM
(7047 views)

Thank you! I'll give it a try!

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Jul 9, 2015 7:43 AM
(4908 views)

The Nonlinear Model platform seems to work well. Carrying this beyond the original question, it looks as though I would need to create a 'dummy' X variable in order to combine two factors, e.g. Peck's Power-law humidity model.

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Apr 11, 2018 6:35 AM
(2764 views)

Dr. Bill Meeker also pointed out that this model's parameters can also be obtained, in a different form, by using the Box-Cox relationship in the Fit Life By X platform and then using the distribution results sensitivity profiler to maximize lambda's likelihood and then re-running Box-Cox with that lambda. (Thanks Dr. Meeker!)

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Dec 9, 2014 8:03 AM
(4013 views)

You cannot. Fit Life by X assumes the formula for mu is linear in beta's. I don't see whether this model has an equivalent form which is linear in beta's. I would suggest using Nonlinear to solve the problem.

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Jan 21, 2015 11:29 AM
(7048 views)

Thank you! I'll give it a try!

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Jul 9, 2015 7:43 AM
(4909 views)

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Apr 11, 2018 6:35 AM
(2765 views)