Multinomial Logistic Regression with Repeated Measures

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by Whirly123 » Wed Feb 05, 2020 2:51 pm

I am going to be running a Multinomial Logistic Regression.

I am using a couple of questionnaires as predictors but my outcome variable is the result of repeated measures. Participants make a choice and do so across multiple rounds to either continue or do one of two things before continuing (3 options).

I am checking to see if Jamovi's Multinomial Logistic Regression is appropriate or whether I need to use a mixed-effects model here (currently unavailable in Jamovi for multinomial outcomes). I am concerned that without using a mixed-effects model this would be inappropriate since each participant has only one questionnaire result but the outcome variable is repeated over multiple rounds.
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by jonathon » Sun Feb 09, 2020 11:34 pm

hi,

i don't think the multinomial logistic regression in jamovi can handle repeated measures. a mixed effects model would seem to be the right choice to me.

cheers

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by mcfanda@gmail.com » Fri Feb 14, 2020 10:44 am

You can decompose the multinomial model into a set of K-1 logistic models, where K is the number of levels of the DV. You define K-1 dummy variables and predict them with K-1 logistic models. The coefficients and tests you get are practically the same you would get with a multinomial analysis. What you'd miss is the omnibus test of the effect. It's like running an ANOVA with a regression module.

The other few differences between the two approaches are rather technical and appear only for very weird cases. Please see here for theory https://en.wikipedia.org/wiki/Multinomial_logistic_regression#As_a_set_of_independent_binary_regressions
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