A hypothesis test for comparing two partitions obtained from the same dataset

被引：0

作者：

Bourel, Mathias ^{[1
]}

Ghattas, Badih ^{[2
]}

Gonzalez, Meliza ^{[1
]}

机构：

[1] Univ Republica, Inst Matemat & Estadist, Montevideo, Uruguay

[2] Aix Marseille Sch Econ, Marseille, France

来源：

COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION | 2025年

关键词：

Clustering; Comparing partitions; Hypothesis test; Matching error; CLUSTERINGS; CRITERIA;

D O I：

10.1080/03610918.2025.2458574

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We propose a non parametric hypothesis test to compare two partitions of a same data set. The partitions may result from two different clustering approaches. The test may be done using any comparison index but we focus in particular on the Matching Error (ME) that is related to the misclassification error in supervised learning. Some properties of the ME and, especially, its distribution function for the case of two different partitions are analyzed. Extensive simulations and experiments show the efficiency of the test.

引用

页数：23

共 50 条

[21] CONCENTRATIONS OF PATCH TEST ALLERGENS - ARE WE COMPARING SAME THINGS
BENEZRA, C
ANDANSON, J
CHABEAU, C
DUCOMBS, G
FOUSSEREAU, J
LACHAPELLE, JM
LACROIX, M
MARTIN, P
CONTACT DERMATITIS, 1978, 4 (02) : 103 - 105
[22] Comparing the Expected Misclassification Cost for Two Classifiers Based on Estimates From the Same Sample
Troendle, James F.
Yu, Kai F.
Westfall, Peter H.
Pennello, Gene
Schisterman, Enrique F.
STATISTICS IN BIOPHARMACEUTICAL RESEARCH, 2012, 4 (03): : 301 - 312
[23] TEST OF THE HYPOTHESIS THAT THE INTRACLASS RELIABILITY COEFFICIENT IS THE SAME FOR 2 MEASUREMENT PROCEDURES
ALSAWALMEH, YM
FELDT, LS
APPLIED PSYCHOLOGICAL MEASUREMENT, 1992, 16 (02) : 195 - 205
[24] A TEST OF THE HYPOTHESIS THAT CRONBACH ALPHA-RELIABILITY COEFFICIENT IS THE SAME FOR 2 TESTS ADMINISTERED TO THE SAME SAMPLE
FELDT, LS
PSYCHOMETRIKA, 1980, 45 (01) : 99 - 105
[25] Pitfalls in dosimetric analysis: precision obtained by various users on the same patient dataset and dosimetry package
Kayal, G.
Parada, N. Barbosa
Marin, C. Calderon
Ferrer, L.
Negrin, J. A. F.
Grosev, D.
Gupta, S.
Hidayati, N. R.
Hobbs, R.
Moalosi, T. C. G.
Poli, G.
Thakral, P.
Tsapaki, V.
Vauclin, S.
Vergara-Gil, A.
Knoll, P.
Bardies, M.
EUROPEAN JOURNAL OF NUCLEAR MEDICINE AND MOLECULAR IMAGING, 2022, 49 (SUPPL 1) : S393 - S393
[26] A statistical test that two individuals are from the same randomly mating population.
Scott, N. M.
Stewart, W. C. L.
Long, J. C.
AMERICAN JOURNAL OF PHYSICAL ANTHROPOLOGY, 2009, : 234 - 234
[27] Assessing a hypothesis test for the difference between two quantiles from independent populations
Heinzl, Harald
Mittlboeck, Martina
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, 2017, 46 (05) : 3540 - 3552
[28] COMPARING 2 PROPORTIONS FROM THE SAME SURVEY
WILD, CJ
SEBER, GAF
AMERICAN STATISTICIAN, 1993, 47 (03): : 178 - 181
[29] Algorithm for comparing two different Printouts of the same PDF Document
Goel, Vaibhav
International Conference on Computational Intelligence for Modelling, Control & Automation Jointly with International Conference on Intelligent Agents, Web Technologies & Internet Commerce, Vol 1, Proceedings, 2006, : 762 - 767
[30] A transcriptomic dataset comparing two methods of hepatocyte differentiation from human induced pluripotent stem cells
Gao, Xiugong
Li, Rong
Yourick, Jeffrey J.
Sprando, Robert L.
DATA IN BRIEF, 2022, 43

← 1 2 3 4 5 →