A modified sign test for comparing paired ROC curves

被引:22
作者
Braun, Thomas M. [1 ]
Alonzo, Todd A. [2 ]
机构
[1] Univ Michigan, Dept Biostat, Ann Arbor, MI 48109 USA
[2] Univ So Calif, Dept Prevent Med, Arcadia, CA 91006 USA
关键词
area under the curve; diagnostic test; distribution-free test; randomization test; resampling; U-statistic;
D O I
10.1093/biostatistics/kxm036
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
We develop a permutation test for assessing a difference in the areas under the curve (AUCs) in a paired setting where both modalities are given to each diseased and nondiseased subject. We propose that permutations be made between subjects specifically by shuffling the diseased/nondiseased labels of the subjects within each modality. As these permutations are made within modality, the permutation test is valid even if both modalities are measured on different scales. We show that our permutation test is a sign test for the symmetry of an underlying discrete distribution whose size remains valid under the assumption of equal AUCs. We demonstrate the operating characteristics of our test via simulation and show that our test is equal in power to a permutation test recently proposed by Bandos and others (2005).
引用
收藏
页码:364 / 372
页数:9
相关论文
共 14 条
[1]   A permutation test sensitive to differences in areas for comparing ROC curves from a paired design [J].
Bandos, AI ;
Rockette, HE ;
Gur, D .
STATISTICS IN MEDICINE, 2005, 24 (18) :2873-2893
[2]   Optimal permutation tests for the analysis of group randomized trials [J].
Braun, TM ;
Feng, ZD .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2001, 96 (456) :1424-1432
[3]   ADVANCES IN STATISTICAL METHODOLOGY FOR THE EVALUATION OF DIAGNOSTIC AND LABORATORY TESTS [J].
CAMPBELL, G .
STATISTICS IN MEDICINE, 1994, 13 (5-7) :499-508
[4]   Versions of the sign test in the presence of ties [J].
Coakley, CW ;
Heise, MA .
BIOMETRICS, 1996, 52 (04) :1242-1251
[5]   COMPARING THE AREAS UNDER 2 OR MORE CORRELATED RECEIVER OPERATING CHARACTERISTIC CURVES - A NONPARAMETRIC APPROACH [J].
DELONG, ER ;
DELONG, DM ;
CLARKEPEARSON, DI .
BIOMETRICS, 1988, 44 (03) :837-845
[6]   Semiparametric regression for the area under the receiver operating characteristic curve [J].
Dodd, LE ;
Pepe, MS .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 2003, 98 (462) :409-417
[7]   RECEIVER OPERATING CHARACTERISTIC RATING ANALYSIS - GENERALIZATION TO THE POPULATION OF READERS AND PATIENTS WITH THE JACKKNIFE METHOD [J].
DORFMAN, DD ;
BERBAUM, KS ;
METZ, CE .
INVESTIGATIVE RADIOLOGY, 1992, 27 (09) :723-731
[8]   A CLASS OF STATISTICS WITH ASYMPTOTICALLY NORMAL DISTRIBUTION [J].
HOEFFDING, W .
ANNALS OF MATHEMATICAL STATISTICS, 1948, 19 (03) :293-325
[9]   NOTE ON THE SIGN TEST IN THE PRESENCE OF TIES [J].
IRLE, A ;
KLOSENER, KH .
ANNALS OF STATISTICS, 1980, 8 (05) :1168-1170
[10]   A TEST FOR CROSSING RECEIVER OPERATING CHARACTERISTIC (ROC) CURVES [J].
MOISE, A ;
CLEMENT, B ;
RAISSIS, M .
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, 1988, 17 (06) :1985-2003