- Thread starter Lazar
- Start date
- Tags inear probability model

It looks like you could just use glm in R and specify family=binomial(link = "identity")

In any case the complication is I have a latent variable so I need to find a solution in lavaan, SEM, or Open MX.

EDIT: for glm it would seem family=quasi(link="identity", variance = "mu(1-mu)") is the answer http://stats.stackexchange.com/questions/139917/r-binomial-family-with-identity-link. Still does not help in relation to latent variables but cool to know given I often run into this.

but then it begs the question of whether or not you could get away with doing a probit regression instead of an LPM and keep everything in SEM-land

if you fit them this way you're doing a probit regression, not an LPM.

but then it begs the question of whether or not you could get away with doing a probit regression instead of an LPM and keep everything in SEM-land

but then it begs the question of whether or not you could get away with doing a probit regression instead of an LPM and keep everything in SEM-land

EDIT: I see what you meant but I am keeping the link function the same and only changing the estimator. I get that it is most often the case that whenever WLS is used in a SEM context the link function is also changed.

Lazar, what is the idea behind SE issues and latent variables? Is it just trying to adjust for a certain level of unknown?

I don't see why it would be a probit. The difference between a logistic regression, probit regression, and linear probability model just looks to me to be a difference in the link function. They all look to assume bernoulli response though.

really it's just about software conventions that tend to rely on the model assumptions that us social sciency types tend to use.

further details here in case you're interested:

https://www.statmodel.com/download/Muthen1979.pdf

EDIT: I see what you meant but I am keeping the link function the same and only changing the estimator. I get that it is most often the case that whenever WLS is used in a SEM context the link function is also changed.

that was kinda my point, particularly when you brought up lavaan. i had read before on their google group that Yves says is you use the weighted least squares estimator for binary data, it immediately assumes it's a probit regression and fits it as such.