Re: Scaling in joint model estimation with non-discrete dual response
Posted: 22 Sep 2021, 07:40
Dear Stephane,
Unfortunately, I have another question about the scale parameter in dual response: Does it make sense to use a randomized scale parameter (e.g. lognormal distribution or lognormal distribution with Fosgerau Mabit transformation) instead of a fixed parameter? The reason is that I wish to use the same utility parameters that are estimated for the forced choices also for the dual response part. However, the dual response part asks for a willingness to participate in a demand response program (using a 7-point Likert scale) that - at least for some respondents - cannot be explained by the utility parameters of the attributes (using an ordinal regression). This seems to lead to optimization problems (or problems with the Markov chains). So making the scale parameter random would allow for a distinction betweens respondents, i. e., between those who take the attribute levels into account and those who do not. That said, I have not read any publication that uses a randomized scale parameter.
Nico
Unfortunately, I have another question about the scale parameter in dual response: Does it make sense to use a randomized scale parameter (e.g. lognormal distribution or lognormal distribution with Fosgerau Mabit transformation) instead of a fixed parameter? The reason is that I wish to use the same utility parameters that are estimated for the forced choices also for the dual response part. However, the dual response part asks for a willingness to participate in a demand response program (using a 7-point Likert scale) that - at least for some respondents - cannot be explained by the utility parameters of the attributes (using an ordinal regression). This seems to lead to optimization problems (or problems with the Markov chains). So making the scale parameter random would allow for a distinction betweens respondents, i. e., between those who take the attribute levels into account and those who do not. That said, I have not read any publication that uses a randomized scale parameter.
Nico