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Specifying hurdle MXL model

Ask questions about model specifications. Ideally include a mathematical explanation of your proposed model.
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Esraa
Posts: 2
Joined: 07 Dec 2022, 14:48

Specifying hurdle MXL model

Post by Esraa »

Hello,

I would like to run MXL model with hurdle component to address serial non-participation for those who "did not play the game".

Can you please advise on how to specify the hurdle framework in Apollo?

Many thanks,

Esraa
stephanehess
Site Admin
Posts: 974
Joined: 24 Apr 2020, 16:29

Re: Specifying hurdle MXL model

Post by stephanehess »

Hi

could you be more specific, maybe with some equations?

Thanks

Stephane
--------------------------------
Stephane Hess
www.stephanehess.me.uk
Esraa
Posts: 2
Joined: 07 Dec 2022, 14:48

Re: Specifying hurdle MXL model

Post by Esraa »

The idea of the hurdle model is to use random utility to model respondents who show little utility-evaluating behaviour (non-participants) - and that requires a specification of the behaviour of serial nonparticipants (SNPs).

I came a cross a good paper that explains a blended approach that combines the latent class model and the hurdle model, where the hurdle structure addresses the serial non-participants, while the latent class modelling detects clustered patterns within participants’ response set. I would like to do the same thing with a mixed logit model (instead of latent class).

Here is the paper, https://link.springer.com/article/10.10 ... 20-00434-z
but I will do my best to explain it here as well.

In the paper, the authors specified that a serial non-participant as those who always chooses the status quo. If probability of being
an SNP is modelled with a probit model, we get:
Pr {SNP} = Φ (Zn *se)

where the variance of the residual normalized to 1 and individual characteristics denoted with Zn.

The hurdle framework represent the possibility of a subject always choosing the status quo (SQ) by a summation the two parts:
Pr {All SQ} = Pr {All SQ|P} ∗ (1 − Pr {SNP}) + Pr {All SQ|SNP} ⋅ Pr {SNP}
stephanehess
Site Admin
Posts: 974
Joined: 24 Apr 2020, 16:29

Re: Specifying hurdle MXL model

Post by stephanehess »

Hi

sorry about the slow reply

So essentially, this sounds like a two stage model. You could specify both models as components in apollo and multiply them together using apollo_combineModels

Stephane
--------------------------------
Stephane Hess
www.stephanehess.me.uk
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