Prediction of Heart Diseases Using Logistic Regression and Likelihood Ratios

Diagnosis of diseases is a critical problem that can help for more accurate decision-making regarding the patients’ health and required treatments. Machine learning is a solution to detect and understand the symptoms related to heart disease. In this paper, a logistic regression model is proposed to predict heart disease based on a dataset with ۲۹۹ people and ۱۳ variables and to evaluate the impact of different predictors on the outcome. In this regard, at first, the effect of each predictor on the precise prediction of the outcome has been evaluated and analyzed by statistical measurements such as AIC scores and p-values. The logit models of different predictors have also been analyzed and compared to select the predictors with the highest impact on heart disease. Then, the combined model that best fits the dataset has been determined using two statistical approaches. Based on the results, the proposed model predicts heart disease with a sensitivity and specificity of ۸۴.۲۱% and ۹۰.۳۸%, respectively. Finally, using normal probability density curves, the likelihood ratios have been established based on classes ۱ and ۰. The results show that the likelihood ratio classifier performs as satisfactorily as the logistic regression model.

Keywords:

Logistic regression , Heart disease , Likelihood ratio , Receiver operating characteristic (ROC) , Akaike information criterion (AIC)