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S1. Simulation results selected with AIC, BIC and HQ criteria for the mixture of normal latent variable as mentioned in section 4.

S2. Detailed estimation results for Swineford-Holzinger data in section 5.1.

S3. SNP-GLLVM with one latent variable fitted to Swiss consumption data from section 5.2: coefficients with standard errors and estimated densities of latent variable.

S4. Gradient of the log-likelihood function for SNP-GLLVM with conditionally normal manifest variables in section 3.1.

S5. Gradient of the log-likelihood function for SNP-GLLVM with mixed scale manifest variables in section 3.2.

S6. Proof of Proposition 2.1 and Corollary 2.2 from section 2.2.

S7. R code for estimating SNP-GLLVM with mixed scale manifest variables and one latent variable as mentioned in section 3.2.

S8. R code for estimating SNP-GLLVM with conditionally normal manifest variables and two latent variables as mentioned in section 3.2.

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