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1

Anaene Oyeka, Ikewelugo Cyprian, and Godday Uwawunkonye Ebuh. "Modified Wilcoxon Signed-Rank Test." Open Journal of Statistics 02, no. 02 (2012): 172–76. http://dx.doi.org/10.4236/ojs.2012.22019.

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2

Jasak, Zoran. "BENFORD’S LAW AND WILCOXON TEST." Journal of Mathematical Sciences: Advances and Applications 52, no. 1 (2018): 69–81. http://dx.doi.org/10.18642/jmsaa_7100121981.

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3

Phatarfod, R. M., and Aidan Sudbury. "A SIMPLE SEQUENTIAL WILCOXON TEST." Australian Journal of Statistics 30, no. 1 (1988): 93–106. http://dx.doi.org/10.1111/j.1467-842x.1988.tb00615.x.

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4

Barros, Roberto Souto Maior de, Juan Isidro González Hidalgo, and Danilo Rafael de Lima Cabral. "Wilcoxon Rank Sum Test Drift Detector." Neurocomputing 275 (January 2018): 1954–63. http://dx.doi.org/10.1016/j.neucom.2017.10.051.

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5

Ozturk, Omer. "SUB-SAMPLE MANN–WHITNEY–WILCOXON TEST." Communications in Statistics - Theory and Methods 31, no. 12 (2002): 2361–77. http://dx.doi.org/10.1081/sta-120017230.

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6

Ludbrook, J. "The Wilcoxon-Mann-Whitney test condemned." British Journal of Surgery 83, no. 1 (1996): 136–37. http://dx.doi.org/10.1002/bjs.1800830155.

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7

Cuzick, Jack. "A wilcoxon-type test for trend." Statistics in Medicine 4, no. 1 (1985): 87–90. http://dx.doi.org/10.1002/sim.4780040112.

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8

Cuzick, Jack. "A wilcoxon-type test for trend." Statistics in Medicine 4, no. 4 (1985): 543–47. http://dx.doi.org/10.1002/sim.4780040416.

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9

Cuzick, Jack. "A wilcoxon-type test for trend." Statistics in Medicine 5, no. 2 (1986): 199. http://dx.doi.org/10.1002/sim.4780050210.

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10

Cuzick, Jack. "A wilcoxon-type test for trend." Statistics in Medicine 14, no. 4 (1995): 445–46. http://dx.doi.org/10.1002/sim.4780140409.

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11

Kishore, Kamal, and Vidushi Jaswal. "Statistics Corner: Wilcoxon–Mann–Whitney Test." Journal of Postgraduate Medicine, Education and Research 56, no. 4 (2022): 199–201. http://dx.doi.org/10.5005/jp-journals-10028-1613.

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12

Vaidyanathan, V. S. "Wilcoxon signed rank test for imprecise observations." IOSR Journal of Mathematics 10, no. 2 (2014): 55–59. http://dx.doi.org/10.9790/5728-10245559.

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13

Qin, Ruibing, Xinxin Luo, and Wei Yang. "Wilcoxon rank test for change in persistence." Statistics 55, no. 3 (2021): 514–31. http://dx.doi.org/10.1080/02331888.2021.1963964.

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14

Park, Hyo-Il. "A generalization of Wilcoxon rank sum test." Applied Mathematical Sciences 9 (2015): 3155–64. http://dx.doi.org/10.12988/ams.2015.52129.

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15

Qu, Yongming, Yan D. Zhao, and Dewi Rahardja. "Wilcoxon–Mann–Whitney Test: Stratify or Not?" Journal of Biopharmaceutical Statistics 18, no. 6 (2008): 1103–11. http://dx.doi.org/10.1080/10543400802369103.

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16

Dewan, Isha, and B. L. S. Prakasa Rao. "Wilcoxon-signed rank test for associated sequences." Statistics & Probability Letters 71, no. 2 (2005): 131–42. http://dx.doi.org/10.1016/j.spl.2004.10.034.

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17

Hodges, J. L., Philip H. Ramsey, and Sergio Wechsler. "Improved Significance Probabilities of the Wilcoxon Test." Journal of Educational Statistics 15, no. 3 (1990): 249–65. http://dx.doi.org/10.3102/10769986015003249.

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An Edgeworth approximation for accurate significance probabilities for the Wilcoxon two-sample test is substantially simplified. A method is developed that allows quick and easy calculations of very accurate probabilities. Exact formulas are given for most of the remaining cases, and tables are presented comparing the accuracy of the new simplification relative to the most likely alternatives.
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18

Hodges, J. L., Philip H. Ramsey, and Sergio Wechsler. "Improved Significance Probabilities of the Wilcoxon Test." Journal of Educational Statistics 15, no. 3 (1990): 249. http://dx.doi.org/10.2307/1165034.

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19

Maesono, Yoshihiko. "Competitors of the Wilcoxon signed rank test." Annals of the Institute of Statistical Mathematics 39, no. 2 (1987): 363–75. http://dx.doi.org/10.1007/bf02491474.

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20

Fagerland, Morten W., and Leiv Sandvik. "The Wilcoxon-Mann-Whitney test under scrutiny." Statistics in Medicine 28, no. 10 (2009): 1487–97. http://dx.doi.org/10.1002/sim.3561.

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21

Pee, David Yu-Wu, and Laurence S. Freedman. "A stratified Wilcoxon-type test for trend." Statistics in Medicine 9, no. 7 (1990): 829–34. http://dx.doi.org/10.1002/sim.4780090712.

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22

Pee, D. Y. W., and Laurence S. Freedmann. "A stratified wilcoxon-type test for trend." Statistics in Medicine 10, no. 5 (1991): 799–800. http://dx.doi.org/10.1002/sim.4780100515.

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23

Tajuddin, I. H. "Distribution-free test for symmetry based on Wilcoxon two-sample test." Journal of Applied Statistics 21, no. 5 (1994): 409–15. http://dx.doi.org/10.1080/757584017.

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24

Kasuya, Eiiti. "Wilcoxon signed-ranks test: symmetry should be confirmed before the test." Animal Behaviour 79, no. 3 (2010): 765–67. http://dx.doi.org/10.1016/j.anbehav.2009.11.019.

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25

Ramsey, Philip H., J. L. Hodges, and Juliet Popper Shaffer. "Significance probabilities of the wilcoxon signed-rank test." Journal of Nonparametric Statistics 2, no. 2 (1993): 133–53. http://dx.doi.org/10.1080/10485259308832548.

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26

Taufer, Emanuele. "Wilcoxon-Signed Rank Test for Long Memory Sequences." Communications in Statistics - Theory and Methods 38, no. 16-17 (2009): 3240–48. http://dx.doi.org/10.1080/03610920902947782.

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27

أمل شاكر حميد and هدى مهدي احمد. "Wilcoxon Signed-Rank Test for Serum Thyroid Hormones." Journal of the College of Basic Education 19, no. 77 (2022): 131–39. http://dx.doi.org/10.35950/cbej.v19i77.8160.

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في هذا البحث قمنا بتطبيق طريقة ويلكسن لأختبار الوسط الحسابي على عينات عشوائية غير خاضعة لتوزيع معين لثلاث انواع من هرمونات الثايروكسين الموجودة في مصل الدم وهيT.S.H و T3 و T4 بفضاء عينة n=25 وقمنا بجدولة هذه البيانات وبعد تطبيق الأختبار وجدنا ان الوسط الحسابي المفروض لكل مجتمع مقبول.
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28

Kim, Dong Hee, and Young Cheol Kim. "Wilcoxon signed rank test using ranked-set sample." Korean Journal of Computational & Applied Mathematics 3, no. 2 (1996): 235–43. http://dx.doi.org/10.1007/bf03008904.

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29

Bürkner, Paul-Christian, Philipp Doebler, and Heinz Holling. "Optimal design of the Wilcoxon-Mann-Whitney-test." Biometrical Journal 59, no. 1 (2016): 25–40. http://dx.doi.org/10.1002/bimj.201600022.

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30

Skovlund, Eva. "Truncation of a Two Sample Sequential Wilcoxon Test." Biometrical Journal 33, no. 3 (1991): 271–79. http://dx.doi.org/10.1002/bimj.4710330303.

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31

Sari, Resti Mustika, Yudiantri Asdi, and Ferra Yanuar. "PERBANDINGAN KUASA WILCOXON RANK SUM TEST DAN PERMUTATION TEST DALAM BERBAGAI DISTRIBUSI TIDAK NORMAL." Jurnal Matematika UNAND 3, no. 4 (2014): 139. http://dx.doi.org/10.25077/jmu.3.4.139-146.2014.

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Kuasa dari suatu uji statistik adalah peluang menolak hipotesis nol kalauhipotesis nol tersebut salah. Simulasi dengan menggunakan software R dilakukan untukmembandingkan kuasa Wilcoxon Rank Sum Test dan Permutation Test untuk membandingkan dua nilai tengah populasi yang dibangkitkan dari distribusi Uniform, Eksponensial, Log Normal dan Weibull. Hasil simulasi data menunjukkan bahwa pada sebaranUniform uji yang lebih baik adalah Permutation Test. Untuk sampel menengah dansampel besar pada distribusi Eksponensial, Weibull dan Log-Normal uji yang lebih baikadalah Wilcoxon Rank Sum Test. Sedangka
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32

Okeh, U. M., and I. Onyeagu Sidney. "Comparison of Two Diagnostic Test Procedures Using Modified Wilcoxon Signed Rank Test." Asian Journal of Mathematics & Statistics 13, no. 1 (2019): 14–20. http://dx.doi.org/10.3923/ajms.2020.14.20.

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33

Fueda, Kaoru, and Katsumasa Ohori. "VERSATILE TWO-SAMPLE RANK TESTS BASED ON WILCOXON TEST." Bulletin of informatics and cybernetics 27, no. 1 (1995): 159–64. http://dx.doi.org/10.5109/13449.

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34

O'Brien, Peter C., and Thomas R. Fleming. "A Paired Prentice-Wilcoxon Test for Censored Paired Data." Biometrics 43, no. 1 (1987): 169. http://dx.doi.org/10.2307/2531957.

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35

Klotz, Jerome. "A linked list for the wilcoxon signed rank test." Journal of Nonparametric Statistics 9, no. 1 (1998): 87–93. http://dx.doi.org/10.1080/10485259808832736.

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36

Shen, Ching-fu, Jin-long Huang, and Chin-san Lee. "Weighted Wilcoxon-Type Rank Test for Interval Censored Data." Journal of Applied Mathematics 2013 (2013): 1–8. http://dx.doi.org/10.1155/2013/273954.

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Interval censored (IC) failure time data are often observed in medical follow-up studies and clinical trials where subjects can only be followed periodically, and the failure time can only be known to lie in an interval. In this paper, we propose a weighted Wilcoxon-type rank test for the problem of comparing two IC samples. Under a very general sampling technique developed by Fay (1999), the mean and variance of the test statistics under the null hypothesis can be derived. Through simulation studies, we find that the performance of the proposed test is better than that of the two existing Wil
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37

Bucchianico, A. Di. "Combinatorics, computer algebra and the Wilcoxon-Mann-Whitney test." Journal of Statistical Planning and Inference 79, no. 2 (1999): 349–64. http://dx.doi.org/10.1016/s0378-3758(98)00261-4.

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38

Arrenberg, Jutta. "Natural ranks in the conditional Wilcoxon rank sum test." Computational Statistics & Data Analysis 17, no. 2 (1994): 141–52. http://dx.doi.org/10.1016/0167-9473(92)00067-2.

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39

Perolat, Julien, Inés Couso, Kevin Loquin, and Olivier Strauss. "Generalizing the Wilcoxon rank-sum test for interval data." International Journal of Approximate Reasoning 56 (January 2015): 108–21. http://dx.doi.org/10.1016/j.ijar.2014.08.001.

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40

Good, I. J. "C235. Another application of the wilcoxon signed-rank test." Journal of Statistical Computation and Simulation 21, no. 3-4 (1985): 339. http://dx.doi.org/10.1080/00949658508810828.

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41

HILTON, JOAN F. "THE APPROPRIATENESS OF THE WILCOXON TEST IN ORDINAL DATA." Statistics in Medicine 15, no. 6 (1996): 631–45. http://dx.doi.org/10.1002/(sici)1097-0258(19960330)15:6<631::aid-sim206>3.0.co;2-6.

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42

Park, Yeonhee. "Optimal two-stage group sequential designs based on Mann-Whitney-Wilcoxon test." PLOS ONE 20, no. 2 (2025): e0318211. https://doi.org/10.1371/journal.pone.0318211.

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The Mann-Whitney-Wilcoxon test, often referred to as the Mann-Whitney U test or Wilcoxon rank-sum test, is a non-parametric statistical test used to compare two independent groups when the dependent variable is ordinal or continuous but not normally distributed. It’s particularly useful for small sample sizes or when the assumptions of parametric tests, such as the t-test, are violated, including cases where the data is skewed. This study focuses on the Mann-Whitney-Wilcoxon test for ordinal data, which frequently arises in biomedical research when the proportional odds assumption does not hol
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43

Salov, G. I. "On the power of a new statistical test and two-sample Wilcoxon test." Optoelectronics, Instrumentation and Data Processing 50, no. 1 (2014): 36–48. http://dx.doi.org/10.3103/s8756699014010051.

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44

Sukhatme, Shashikala, and C. H. Lin. "Exact powers of the Wilcoxon test and the logrank test under random censoring." Journal of Statistical Planning and Inference 48, no. 3 (1995): 291–301. http://dx.doi.org/10.1016/0378-3758(95)00010-7.

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45

Frischa Ellyanti Djenaan, Merry H. Rimporok, and Sri Wahyuni. "Pengaruh Pendidikan Kesehatan Tentang Menstruasi Terhadap Tingkat Kecemasan Pada Siswi di SD Negeri 25 Manado." Protein : Jurnal Ilmu Keperawatan dan Kebidanan. 2, no. 1 (2024): 94–104. http://dx.doi.org/10.61132/protein.v2i1.67.

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Menstruation is the decay of the uterine wall consisting of blood and body tissues. These events take place every month and are a normal process for ordinary women. Menstruation is periodic bleeding in the uterus that begins about 14 days after ovulation. The purpose of this study was to determine the Effect of Health Education About Menstruation on Anxiety Levels in Students at SD Negeri 25 Manado. This research method uses a Pre-experimental design with the One Group Pre test – Post test design method. Subjekts in this study amounted to 49 female students with a sample of 15 female students.
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46

Karch, Julian D. "bmtest: A Jamovi Module for Brunner–Munzel’s Test—A Robust Alternative to Wilcoxon–Mann–Whitney’s Test." Psych 5, no. 2 (2023): 386–95. http://dx.doi.org/10.3390/psych5020026.

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In psychological research, comparisons between two groups are frequently made to demonstrate that one group exhibits higher values. Although Welch’s unequal variances t-test has become the preferred parametric test for this purpose, surpassing Student’s equal variances t-test, the Wilcoxon–Mann–Whitney test remains the predominant nonparametric approach despite sharing similar limitations with Student’s t-test. Specifically, the Wilcoxon–Mann–Whitney test is associated with strong, unrealistic assumptions and lacks robustness when these assumptions are violated. The Brunner–Munzel test overcom
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47

Maggio, Saverpierre, and Shlomo S. Sawilowsky. "A New Maximum Test via the Dependent Samples t-Test and the Wilcoxon Signed-Ranks Test." Applied Mathematics 05, no. 01 (2014): 110–14. http://dx.doi.org/10.4236/am.2014.51013.

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48

Öztürk, Ömer, Douglas A. Wolfe, and Omer Ozturk. "An Improved Ranked Set Two-Sample Mann-Whitney-Wilcoxon Test." Canadian Journal of Statistics / La Revue Canadienne de Statistique 28, no. 1 (2000): 123. http://dx.doi.org/10.2307/3315886.

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49

Öztürk, Ömer, and Douglas A. Wolfe. "An improved ranked set two-sample mann-whitney-wilcoxon test." Canadian Journal of Statistics 28, no. 1 (2000): 123–35. http://dx.doi.org/10.2307/3314843.

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50

Rosner, Bernard, and Robert J. Glynn. "Power and Sample Size Estimation for the Clustered Wilcoxon Test." Biometrics 67, no. 2 (2010): 646–53. http://dx.doi.org/10.1111/j.1541-0420.2010.01488.x.

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