A note on controlling the number of false positives.
Lehmann and Romano (2005, Annals of Statistics33, 1138-1154) discuss a Bonferroni-type procedure that bounds the probability that the number of false positives is larger than a specified number. We note that this procedure will have poor power as compared to a multivariate permutation test type procedure when the experimental design accommodates a permutation test. An example is given involving gene expression microarray data of breast cancer tumors.
Korn
Edward L
EL
Biometric Research Branch, National Cancer Institute, Bethesda, MD 20852-7434, USA. korne@ctep.nci.nih.gov
Freidlin
Boris
B
D000465:Algorithms; D014408:Biomarkers, Tumor / Q000032:analysis*; D001943:Breast Neoplasms / Q000175:diagnosis* / Q000378:metabolism*; D003627:Data Interpretation, Statistical; D003936:Diagnosis, Computer-Assisted / Q000379:methods*; D005189:False Positive Reactions; D005260:Female; D020869:Gene Expression Profiling / Q000379:methods*; D006801:Humans; D009363:Neoplasm Proteins / Q000032:analysis*
D014408:Biomarkers, Tumor; D009363:Neoplasm Proteins