Some Properties of a Recently Introduced Approach to Ordinal Regression

Austrian Journal of Statistics

article

Florian Frommlet¹ 

[1] Department of Statistics and Decision Support Systems, University Vienna

关键词: Isotonic Regression;    Ordinal Regression;    Least Squares;    Asymptotics;    Microarrays.;   

DOI  :  10.17713/ajs.v39i3.244

学科分类：医学（综合）

来源: Austrian Statistical Society

【 摘 要 】

The statistical properties of a novel approach to ordinal regression which was only recently introduced in the literature are discussed. It is shown that for ordinal explanatory variables the approach is equivalent to isotonic regression, with some advantages when dealing with two-sided alternatives. For ordinal response variables the procedure behaves very differently and is asymptotically equivalent to a two-sample t-test between the extremecategories. A penalized version is introduced to improve power, and the procedureis evaluated using Monte Carlo simulations. Finally the method is applied to microarray gene expression data on prostate cancer.

【 授权许可】

CC BY