how to the find the logistic variability parameter

eldad_galili — Fri, 09 Jun 2023 00:25:11 GMT

Hello everybody,

I am performing analysis for OK/NOK output, see attached files.

I need to find the estimate of gamma, the logistic variability parameter. Where can I find it in the analysis report?

Thank you very much.

Re: how to the find the logistic variability parameter

peng_liu — Wed, 09 Dec 2020 18:43:22 GMT

Do you mean the scale parameter in a logistic distribution? If so, you won't be able to find it in a logistic regression report. Logistic regression is usually formulated to address the relationship between probability and explanatory variables:

The simplest case will be just one explanatory variable, so the above form reduces to this:

Meanwhile, the logistic distribution function looks like the following, in which s is the scale parameter:

Compare this equation with the one above it, you should be able to back out parameter m and s from beta0 and beta1. I.e. 1/s = beta1 and -m/s = beta0.

However, you won't be able to find m and s even in the simplest logistic regression report, because they don't have appropriate interpretations in the logistic regression context, in which beta's can explain changes in log-odds while changing explanatory variables.

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how to the find the logistic variability parameter

Re: how to the find the logistic variability parameter