Averaged gene expressions for regression.
Although averaging is a simple technique, it plays an important role in reducing variance. We use this essential property of averaging in regression of the DNA microarray data, which poses the challenge of having far more features than samples. In this paper, we introduce a two-step procedure that combines (1) hierarchical clustering and (2) Lasso. By averaging the genes within the clusters obtained from hierarchical clustering, we define supergenes and use them to fit regression models, thereby attaining concise interpretation and accuracy. Our methods are supported with theoretical justifications and demonstrated on simulated and real data sets.
Park
Mee Young
MY
Google Inc, Mountain View, CA 94043, USA. meeyoung@google.com
Hastie
Trevor
T
Tibshirani
Robert
R
D001943:Breast Neoplasms / Q000235:genetics; D016000:Cluster Analysis; D003198:Computer Simulation; D005260:Female; D020869:Gene Expression Profiling / Q000379:methods*; D006801:Humans; D015233:Models, Statistical; D020411:Oligonucleotide Array Sequence Analysis / Q000379:methods*; D012044:Regression Analysis