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Self assessment

The self-assessment section, along with targeted quizzes across the site, provides an interactive way for you to test and deepen your understanding of core epidemiology concepts and reinforce critical principles.

Latent class analysis

Test your knowledge of the principles of latent class analysis

1 / 10

Which of the following is a primary method for determining the optimal number of latent classes in Latent Class Analysis?

Using K-means clustering

Assessing the stability of latent classes across different datasets

Comparing fit statistics like BIC (Bayesian Information Criterion) or AIC (Akaike Information Criterion)

Testing for statistical significance of each latent class using p-values

2 / 10

If an LCA model with three classes has a BIC of 2500 and an LCA model with four classes has a BIC of 2490, what does this suggest?

The four-class model should be chosen because it has a slightly lower BIC.

The three-class model should be chosen because it has fewer parameters.

The four-class model is invalid because the BIC should increase with additional classes.

The difference in BIC is too small to justify adding a fourth class.

3 / 10

In the context of LCA, what does entropy measure?

The degree of overlap between latent classes

The quality of classification, indicating how well individuals are assigned to latent classes

The accuracy of parameter estimates for observed variables

The overall fit of the model to the data

4 / 10

Which type of indicator variable is most appropriate for Latent Class Analysis?

Continuous variables with high variance

Ordinal or nominal categorical variables

Latent variables with underlying continuous distributions

5 / 10

Which of the following would NOT typically be considered a problem for the validity of an LCA model?

Small sample size, reducing the power to detect distinct classes

Violation of the conditional independence assumption

Non-normality of observed variables

High correlation between observed variables within classes

6 / 10

Which of the following would indicate that adding another latent class to an LCA model does not improve model fit?

An increase in the likelihood ratio

A decrease in the entropy of class membership

A minimal reduction in BIC or AIC compared to previous models

A significant increase in posterior probabilities

7 / 10

What is one advantage of using Latent Class Analysis over traditional clustering methods like k-means clustering?

LCA can be used for continuous latent variables

LCA can handle categorical observed variables and provides probability-based class membership

LCA requires fewer parameters, making it simpler to implement

LCA automatically determines the number of classes based on data without needing model selection

8 / 10

When conducting Latent Class Analysis, how can local dependence between observed variables within a latent class be addressed?

By using a hierarchical LCA model or introducing covariates

By increasing the number of latent classes

By assuming the observed variables are independent across classes

By removing any variables that exhibit dependence

9 / 10

Which of the following assumptions is critical for conducting Latent Class Analysis?

Each observed variable is independent of the latent variable

Observed variables within a latent class are conditionally independent of each other

The latent classes are continuous rather than categorical

There is no assumption of conditional independence in LCA

10 / 10

Which of the following methods can be used to evaluate model fit in Latent Class Analysis when BIC and AIC provide conflicting recommendations?

Bootstrap likelihood ratio test (BLRT)

Increasing sample size

Reducing the number of observed variables

Using a k-means clustering approach instead

Your score is

The average score is 40%

Case Study Scenarios

The following are real-life epidemiology case scenarios where you can make decisions at each stage of an investigation (e.g., identifying study designs, selecting data collection methods, interpreting results).

Practice with Data

Latent class analysis

https://stats.oarc.ucla.edu/sas/dae/latent-class-analysis/
https://www.latentclassanalysis.com/code-repository/

Self assessment

Case Study Scenarios

Practice with Data

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