A nonparametric method of comparing the partial areas under two correlated receiver operating characteristic curves

A non-parametric method was developed and tested to compare the partial areas under two correlated Receiver Operating Characteristic curves. Based on the theory of generalized U-statistics the mathematical formulas have been derived for computing ROC area, and the variance and covariance between the portions of two ROC curves. A practical SAS application also has been developed to facilitate the calculations. The accuracy of the non-parametric method was evaluated by comparing it to other methods. By applying our method to the data from a published ROC analysis of CT image, our results are very close to theirs. A hypothetical example was used to demonstrate the effects of two crossed ROC curves. The two ROC areas are the same. However each portion of the area between two ROC curves were found to be significantly different by the partial ROC curve analysis. For computation of ROC curves with large scales, such as a logistic regression model, we applied our method to the breast cancer study with Medicare claims data. It yielded the same ROC area computation as the SAS Logistic procedure. Our method also provides an alternative to the global summary of ROC area comparison by directly comparing the true-positive rates for two regression models and by determining the range of false-positive values where the models differ. ^

A review of the effects of Transcendental Meditation on cardiovascular disease

Cardiovascular disease (CVD) is the single greatest cause of death in the United States, accounting for nearly 2400 deaths each day. It is estimated that 79.4 million American adults have some form of the disease, and CVD mortality rates are greater than those of cancer, chronic lower respiratory diseases, accidents and diabetes mellitus combined. Psychosocial stress is a nontraditional risk factor for CVD, and can contribute to the clustering of traditional risk factors as well as to vascular manifestations of the disease. The Transcendental Meditation (TM) technique has been researched as a cost effective intervention aimed at decreasing psychosocial stress. This literature review attempts to analyze randomized controlled clinical trials of TM on cardiovascular disease outcomes. Eleven studies met inclusion criteria and are described below, with statistically significant positive outcomes observed in each study. Studies are grouped by primary outcome reported in the categories of cardiovascular function, blood pressure, and exercise tolerance. The TM intervention significantly decreased insulin resistance, heart rate variability, and carotid intima media thickness and improved exercise tolerance compared to control groups. Seven studies also reported significant decreases in blood pressure among hypertensive and normotensive subjects. Five studies focused solely on African American subjects, a population that has disproportionately higher rates of CVD and hypertension, and found significant improvements in CVD outcomes. Further research is recommended to establish the efficacy of TM on CVD outcomes. Future trials should include larger sample populations, wider ethnic distributions of subjects, and longer follow-up to ascertain the impact of this particular stress reduction technique on cardiovascular disease.^