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. Author manuscript; available in PMC: 2022 Jan 1.
Published in final edited form as: Crit Care Med. 2021 Jan 1;49(1):e63–e79. doi: 10.1097/CCM.0000000000004710

Table 5.

Features that should alert investigators to a potentially poor fitting latent class analysis models and their corresponding trouble-shooting solutions to improve model fit.

Features suggesting poor fitting models Trouble-shooting
Failure to obtain multiple replications of maximum likelihood - Increase the number of random starts
- Check the scale of the continuous predictor variables are appropriately transformed and uniformly scaled
- Check distribution of variables and seek extreme outliers
- If models fail to replicate the maximum likelihood consider rejecting the model
Minor perturbation of indicators leading to large changes in the model fit statistics and/or VLMR values - Check correlation between indicators
- Check correlation between indicators within each class
- Check if the data transformation/imputation of the continuous indicators has led to extreme scaling of important variables (see Figure 3)
A two class model comprising of a class with less than 15% of the sample

or

Models comprising three or more classes contain a class(es) with less than 10% of the sample
- Check to ensure that a single indicator is not the pre-dominant determinant of the classes
- If a single variable determines the class:
 - Check the scale of the continuous predictor variables are appropriately transformed and scaled
 - Consider rejecting the model
 - Validate the findings in an independent cohort
Models with low entropy - Assess the quality of the indicators:
 - Examine the entropy of individual indicators. The variables may be of insufficient quality to separate the classes
 - Consider adding novel, higher quality, indicators to the model

Note: the presented solutions may be helpful in rectifying poor model fit, when interpreting these features, however, it must always be considered that a given population may not have underlying latent classes.