## Prediction of the Nash through penalized mixture of logistic regression models.(English)Zbl 1477.62318

Summary: In this paper an appropriate and interpretable diagnosis statistical model is proposed to predict Nonalcoholic Steatohepatitis (NASH) from near infrared spectrometry data. In this disease, unknown patients’ profiles are expected to lead to a different diagnosis. The model has then to take into account the heterogeneity of the data and the dimension of the spectrometric data.
To this end, we propose to fit a mixture model on the joint distribution of the diagnostic binary variable and the covariates selected in the spectra. The penalized maximum likelihood estimator is considered. In practice, a twofold penalty on both regression coefficients and covariance parameters is imposed. Automatic selection criteria, such as the AIC and BIC, are used to select the amount of shrinkage and the number of clusters. The performance of the overall procedure is evaluated by a simulation study, and its application on the NASH data set is analyzed. The model leads to better prediction performance than competitive methods and provides highly interpretable results.

### MSC:

 62P10 Applications of statistics to biology and medical sciences; meta analysis 62J12 Generalized linear models (logistic models) 62M20 Inference from stochastic processes and prediction

glasso; flexmix
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### References:

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