Applied method comparison analyses to a biomarker study with bounded and heteroscedastic data;Analyzed the error structure and estimated the underlying distribution of the data collected from two assays;Conducted simulation studies to evaluate the performance of multiple models in terms of their abilities to fit the simulated data, which involved certain specified relationships;Investigated how sample sizes affect the robustness of different models in regard to the bias of estimators and the capabilities of models to detect a shift in the slope.