Farklı Dağılımlar ve Farklı Çekirdek Fonksiyonları için ROC Eğrisi Tahmin Yöntemlerinin Performanslarının İncelenmesi

Abstract

Objective: Receiver operating characteristic (ROC) curve is a statistical method used to examine the actual effectiveness of a diagnostic test or a biomarker in a comprehensive and reliable way. Several methods have been proposed to estimate ROC curve properly. The aim of the present study is to compare recent ROC curve estimation methods for different distribution and sample sizes. Material and Methods: Log-concave density and smooth log-concave density estimate based ROC curve estimation, kernel based ROC curve estimation with Gaussian, Epanechnikov, rectangular, triangular kernels, and binormal ROC estimation methods were compared for different simulation scenarios. Results: The ROC curve estimation methods based on kernel estimates gave their best performances when the biomarker values of non-diseased group are normal but the biomarker values of the diseased group are right-skewed, with a notable difference from other methods. Epanechnikov and rectangular kernel methods yielded better performance than other kernel methods in small sample sizes; but this difference disappeared as the sample size increased. The methods based on kernel or log-concave density estimate gave their worst results for the simulation scenario where the data were nonnormal but symmetric. Conclusion: The performances of the other methods examined in the study exceeded the performance of the binormal method in highly skewed data in both groups and when the distribution of diseased and non-diseased populations were right-skewed and normal, respectively.