# Questions tagged [latent-variable]

Latent variables refer to variables that cannot be directly observed. These variable are defined in terms of observable variables. In narrow sense, "latent variable" is seen/modeled as what generates the observed variables in an implied data generation process. Also called hidden or lurking variables.

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446 views

### Is it possible to get a prediction interval for logistic regression via a latent variable?

carbocation asked how to compute prediction intervals for logistic regression. The answer was that prediction intervals don't make sense for logistic regression because the response variable only ...
786 views

### Dealing with poor fit in an Item Response Theory model

I'm studying an online course with about 3000 students who each took several quizzes and I'm trying to apply Item Response Theory (using the ltm package in R) to model the questions, determine which ...
404 views

### How to save individual residuals from an observed endogenous variable in a structural equation model?

I am estimating a structural equation model in which two latent variables (with 4 indicators each) and the interaction between the two latent variables predict a single observed variable. I would like ...
145 views

171 views

### Testing graded response model thresholds for significance?

I have a data set in which two raters have each rated N samples using a 5-point ordinal rating scale. My primary interest is in whether these two raters make significantly different use of those ...
100 views

### Estimating the quantiles of a latent variable

I am trying to estimate the quantiles of the function $f(x_i)$ in the equation: $$y_{it} = \alpha_i + f(x1_{it}, x2_{it}) + \epsilon_{it}$$ My current, probably naive, approach is to run the ...
28 views

### Can latent variables be used in Bayesian networks?

I have successfully implemented a hill climbing approach to Bayesian structure learning using a Gaussian Bayesian network. I want to now implement a more sophisticated model with latent variables. ...
46 views

### Estimate for structural equation model

I tried to find the estimate for SEM using R and Stata but I found that both estimates are different. ...
128 views

### Bayesian Nonparametric Latent feature model

For quite a long time I've been trying to understand the paper "Bayesian Nonparametric Latent feature model" (by Zoubin Ghahramani et al.) [http://mlg.eng.cam.ac.uk/zoubin/papers/GhaGriSol06.pdf]. In ...
80 views

### How is vector arithmetic and interpolation possible in the latent space of GANs?

In the DCGAN paper (Alec Radford et al.), the authors were able to perform vector arithmetic for semantic analogies by averaging the latent vectors of generated images with the same class. They've ...
70 views

### Outlier Detection Using VAE Latent Space

I am trying to perform outlier detection using VAE. Before I was performing the same task using normal autoencoder and I used reconstruction error. I trained the network, then I passed new samples as ...
34 views

### Variable reduction method for factor variables

I have answers from 16 multiple-choice questions, each with 4 unordered options, and I would like to apply a dimensionality reduction method on them. I was thinking of going for PCA, but then I ...
36 views

### Markov property of manifest variables in longitudinal ESM

I am working on a longitudinal ESM model were the indicators are (highly) autocorrelated. This means that the classic cross-lagged models of panel data analysis cannot be used directly. I have ...
57 views

### AIC for latent variable models

I'm trying to use BIC/AIC for model comparison and want to know what the number of parameters is. The models I'm unsure about are linear Gaussian state space models with nonlinear observations. ...
847 views

### Conducting a three-step Latent Class Analysis in R

I'm trying to conduct a Latent Class Analysis in R using the poLCA package, and I have now become stuck on two aspects of the process. I have conducted Latent Class Analysis separately for males and ...
34 views

### Estimating latent mean and variance for a Gaussian

I have a latent Gaussian model with unknown parameters $\mu$ and $\sigma^2$. I can estimate these parameters using MLE and an EM-ish algorithm. However the solution is not stable; I end up in local ...
I have been working with pls for a little while now. I have a question in terms of the deflation of both the $X$ and $Y$ matrices. In the literature I have found different methods over which deflation ...