Prediction by supervised principal components

• 成果类型: Article
• 署名作者: Bair, E; Hastie, T; Paul, D; Tibshirani, R
• 署名单位: University of California System; University of California San Francisco; Stanford University; Stanford University
• 刊物名称: JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
• ISSN/ISSBN: 0162-1459
• DOI: 10.1198/016214505000000628
• 发表日期: 2006
• 页码: 119-137
• 关键词: dimension reduction; expression data; regression; survival; DECOMPOSITION; selection

摘要

In regression problems where the number of predictors greatly exceeds the number of observations, conventional regression techniques may produce unsatisfactory results. We describe a technique called supervised principal components that call be applied to this type of problem. Supervised principal components is similar to conventional principal components analysis except that it uses a subset of the predictors selected based on their association with the outcome. Supervised principal components can be applied to regression and generalized regression problems, such as survival analysis. It compares favorably to other techniques for this type of problem, and can also account for the effects of other covariates and help identify which predictor variables are most important. We also provide asymptotic consistency results to help support our empirical findings. These methods could become important tools for DNA microarray data. where they may be used to more accurately diagnose and treat cancer.