A count weighted Wilcoxon rank-sum test and application to medical data

References

• Allison, P. D. 2009. Fixed effects regression models. SAGE Publications, Inc. doi:10.4135/9781412993869.
   Google Scholar
• Brunner, E., and U. Munzel. 2000. The nonparametric Behrens-Fisher problem: Asymptotic theory and a small-sample approximation. Biometrical Journal 42 (1):17–25. doi:10.1002/(SICI)1521-4036(200001)42:1.
   Web of Science ®Google Scholar
• Cameron, A. C., and P. K. Trivedi. 2013. Regression analysis of count data (Vol. 53). Cambridge university press. doi:10.1017/CBO9781139013567.
   Google Scholar
• Fagerland, M. W., and L. Sandvik. 2009a. The Wilcoxon–Mann–Whitney test under scrutiny. Statistics in Medicine 28 (10):1487–97. doi:10.1002/sim.3561.
   PubMed Web of Science ®Google Scholar
• Fagerland, M. W., and L. Sandvik. 2009b. Performance of five two-sample location tests for skewed distributions with unequal variances. Contemporary Clinical Trials 30 (5):490–6. doi:10.1016/J.CCT.2009.06.007.
   PubMed Web of Science ®Google Scholar
• Fagerland, M. W., L. Sandvik, and P. Mowinckel. 2011. Parametric methods outperformed non-parametric methods in comparisons of discrete numerical variables. BMC Medical Research Methodology 11 (1):44. doi:10.1186/1471-2288-11-44.
   PubMedGoogle Scholar
• Hartings, J. A., M. Bullock, D. Okonkwo, L. Murray, G. Murray, M. Fabricius, A. Maas, J. Woitzik, O. Sakowitz, B. Mathern, et al. 2011. Spreading depolarisations and outcome after traumatic brain injury: A prospective observational study. The Lancet. Neurology 10 (12):1058–64. doi:10.1016/S1474-4422(11)70243-5.
   PubMed Web of Science ®Google Scholar
• Hartings, J. A., A. Strong, M. Fabricius, A. Manning, R. Bhatia, J. Dreier, A. Mazzeo, F. Tortella, and M. Bullock. 2009. Spreading depolarizations and late secondary insults after traumatic brain injury. Journal of Neurotrauma 26 (11):1857–66. doi:10.1089/NEU.2009.0961.
   PubMed Web of Science ®Google Scholar
• Karch, J. D. 2021a. Choosing between the two-sample t test and its alternatives: A practical guideline. doi:10.31234/osf.io/ye2d4.
   Google Scholar
• Karch, J. D. 2021b. Psychologists should use Brunner-Munzel’s instead of Mann-Whitney’s U test as the default nonparametric procedure. Advances in Methods and Practices in Psychological Science 4 (2):251524592199960. 2515245921999602. doi:10.1177/2515245921999602.
   Google Scholar
• Lawless, J. F. 1987. Negative binomial and mixed poisson regression. Canadian Journal of Statistics 15 (3):209–25. doi:10.2307/3314912.
   Web of Science ®Google Scholar
• Liu, H. B., R. A. Davidson, A. M. Asce, V. Rosowsky, M. Asce, and J. R. Stedinger. 2005. Negative binomial regression of electric power outages in hurricanes. Journal of Infrastructure Systems 11 (4):258–67. doi:10.1061/(ASCE)1076-0342(2005)11:4(258).
   Web of Science ®Google Scholar
• Long, J. S. 1997. Regression models for categorical and limited dependent variables. Sage Publications, Inc. http://www.loc.gov/catdir/enhancements/fy0655/96035710-d.html.
   Google Scholar
• Lovett, A., and R. Flowerdew. 1989. Analysis of count data using poisson regression. The Professional Geographer 41 (2):190–8. doi:10.1111/j.0033-0124.1989.00190.x.
   Web of Science ®Google Scholar
• Mann, H. B., and D. R. Whitney. 1947. On a test of whether one of two random variables is stochastically larger than the other. The Annals of Mathematical Statistics 18 (1):50–60. https://www.jstor.org/stable/2236101. doi:10.1214/aoms/1177730491.
   Google Scholar
• McElduff, F., M. Cortina-Borja, S. K. Chan, and A. Wade. 2010. When t-tests or Wilcoxon-Mann-Whitney tests won’t do. Advances in Physiology Education 34 (3):128–33. doi:10.1152/ADVAN.00017.2010.
   PubMed Web of Science ®Google Scholar
• Micceri, T. 1989. The unicorn, the normal curve, and other improbable creatures. Psychological Bulletin 105 (1):156–66. doi:10.1037/0033-2909.105.1.156.
   Web of Science ®Google Scholar
• Okeh, U. M. 2009. Statistical analysis of the application of Wilcoxon and Mann-Whitney U test in medical research studies. Biotechnology and Molecular Biology Reviews 4:128–31. http://www.academicjournals.org/bmbr.
   Google Scholar
• Osgood, D. W. 2000. Poisson-based regression analysis of aggregate crime rates. Journal of Quantitative Criminology 16 (1):21–43. doi:10.1023/A:1007521427059.
   Web of Science ®Google Scholar
• Rabbee, N., B. A. Coull, C. Mehta, N. Patel, and P. Senchaudhuri. 2003. Power and sample size for ordered categorical data. Statistical Methods in Medical Research 12 (1):73–84. doi:10.1191/0962280203SM317RA.
   PubMed Web of Science ®Google Scholar
• Reiczigel, J., I. Zakariás, and L. Rózsa. 2005. A bootstrap test of stochastic equality of two populations. The American Statistician 59 (2):156–61. doi:10.1198/000313005X23526.
   Web of Science ®Google Scholar
• Sankey, S. S., and L. A. Weissfeld. 1998. A study of the effect of dichotomizing ordinal data upon modeling. Communications in Statistics - Simulation and Computation 27 (4):871–87. doi:10.1080/03610919808813515.
   Web of Science ®Google Scholar
• Siegel, S. 1956. Non-parametric statistics for the behavioral sciences. Vols. 75–83. New York: McGraw-Hill.
   Google Scholar
• Strömberg, U. 1996. Collapsing ordered outcome categories: A note of concern. American Journal of Epidemiology 144 (4):421–4. doi:10.1093/OXFORDJOURNALS.AJE.A008944.
   PubMed Web of Science ®Google Scholar
• Wilcoxon, F. 1945. Individual comparisons by ranking methods. Biometrics Bulletin 1 (6):80–3. doi:10.2307/3001968.
   Google Scholar