Classification of pathological stage of prostate cancer patients using penalized splines

We propose a penalized splines (P-splines) based method to predict the pathological stage of localized prostate cancer. A combination of prostate-specific antigen, Gleason histological score, and clinical stage from a cohort study of 834 prostate cancer patients are used to build the P-splines model. It turns out that the proposed methodology results in improved prediction of pathological stage compared to usual logistic regression after removing a few outliers. The improvement is shown to be statistically significant. Receiver-operating characteristic (ROC) curve is drawn and we show that the increase in area under the ROC curve over the commonly used logistic regression based classification method is also statistically significant.

[1]  David Ruppert,et al.  Variable Selection and Function Estimation in Additive Nonparametric Regression Using a Data-Based Prior: Comment , 1999 .

[2]  Tapabrata Maiti,et al.  Hierarchical Bayesian Neural Networks , 2004 .

[3]  M. Wand,et al.  Comment on Shively , Kohn and WoodBabette , 1999 .

[4]  A W Partin,et al.  Contemporary update of prostate cancer staging nomograms (Partin Tables) for the new millennium. , 2002, Urology.

[5]  Margaret S. Pepe,et al.  Receiver Operating Characteristic Methodology , 2000 .

[6]  B. Ripley,et al.  Semiparametric Regression: Preface , 2003 .

[7]  N. Graham,et al.  Areas beneath the relative operating characteristics (ROC) and relative operating levels (ROL) curves: Statistical significance and interpretation , 2002 .

[8]  A W Partin,et al.  Combination of prostate-specific antigen, clinical stage, and Gleason score to predict pathological stage of localized prostate cancer. A multi-institutional update. , 1997, JAMA.

[9]  A. Tewari,et al.  The role of transrectal ultrasound-guided biopsy-based staging, preoperative serum prostate-specific antigen, and biopsy Gleason score in prediction of final pathologic diagnosis in prostate cancer. , 1995, Urology.

[10]  Predicting Pathological Stage of Localized Prostate Cancer-Reply , 1997 .

[11]  D. Chan,et al.  The use of prostate specific antigen, clinical stage and Gleason score to predict pathological stage in men with localized prostate cancer. , 1993, The Journal of urology.

[12]  D C Young,et al.  An algorithm for predicting nonorgan confined prostate cancer using the results obtained from sextant core biopsies with prostate specific antigen level. , 1996, The Journal of urology.