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TEACHER'S CORNER

Experience Simpson's Paradox in the Classroom

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Pages 61-66 | Received 01 Oct 2014, Published online: 20 Mar 2017

References

  • Bea, W., and Scholz, R. W. (1994), “The Success of Graphic Models to Visualize Conditional Probabilities,” in Proceedings of the Fourth International Conference on Teaching Statistics (vol. 1), eds. Y. Escoufier, and A. El-Ghazali, Voorburg, The Netherlands: International Statistical Institute, p. 83.
  • Bickel, P. J., Hammel, E. A., and O’Connell, J. W. (1975), “Sex Bias in Graduate Admissions: Data From Berkeley,” American Association for the Advancement of Science, 187, 398–404.
  • Blyth, C. R. (1972), “On Simpson's Paradox and the Sure-Thing Principle,” Journal of the American Statistical Association, 67, 364–366.
  • Bock, D. E., Velleman, P. F., and De Veaux, R. D. (2010), Stats: Modeling the World (3rd ed.), Reading, MA: Addison-Wesley.
  • Buffie, E. G., Welch, R. C., and Paige, D. (1968), Mathematics: Strategies of Teaching, Upper Saddle River, NJ: Prentice-Hall.
  • Falk, R., and Bar-Hillel, M. (1980), “Magic Possibilities of the Weighted Average,” Mathematics Magazine, 53, 106–107.
  • Hand, D. J. (1979), “Psychiatric Examples of Simpson's Paradox,” The British Journal of Psychiatry, 135, 90–96.
  • Kievit, R. A., Frankenhuis, W. E., Waldorp, L. J., and Denny, B. (2013), “Simpson's Paradox in Psychological Science: A Practical Guide,” Frontiers in Psychology, 4, 513.
  • Kracht, D. L. (2002), “Simpson's Paradox in Basketball Statistics,” available at: http://www.math.kent.edu/ darci/simpson/column.html.
  • Lesser, L. M. (2001), “Representations of Reversal: An Exploration of Simpson's Paradox,” in The Roles of Representation in School Mathematics, eds. Cuoco, A. A. and Curcio, F. R., Reston, VA: National Council of Teachers of Mathematics, pp. 129–145.
  • Lord, N. (1990), “From Vectors to Reversal Paradoxes,” Mathematical Gazette, 74, 55–58.
  • Moore, D. S. (2010), The Basic Practice of Statistics (5th ed.), New York: W. H. Freeman and Company.
  • Moore, T. L. (2006), “Paradoxes in Film Ratings,” Journal of Statistics Education, 14. Available at http://ww2.amstat.org/publications/jse/v14n1/datasets.moore.html
  • Morrell, C. H. (1999), “Simpson's Paradox: An Example From a Longitudinal Study in South Africa,” Journal of Statistics Education, 7. Available at http://ww2.amstat.org/publications/jse/secure/v7n3/datasets.morrell.cfm
  • Paik, M. (1985), “A Graphic Representation of a Three-Way Contingency Table: Simpson's Paradox and Correlation,” The American Statistician, 39, 53–54.
  • Pavlides, M. G., and Perlman, M. D. (2009), “How Likely Is Simpson's Paradox?” The American Statistician, 63, 226–233.
  • Pearson, K., Lee, A., and Bramley-Moore, L. (1899), “Genetic (Reproductive) Selection: Inheritance of Fertility in Man, and of Fecundity in Thoroughbred Racehorses,” Philosophical Transactions of the Royal Society, A, 192, 257–330.
  • Reintjes, R., de Boer, A., van Pelt, W., and Mintjes-de Groot, J. (2000), “Simpson's Paradox: An Example From Hospital Epidemiology,” Epidemiology, 11, 81–83.
  • Scheaffer, R. L., Watkins, A., Witmer, J., and Gnanadeskan, M. (2004), Activity-Based Statistics: Instructor Resources, Emeryville, CA: Key College Publishing.
  • Schneiter, K., and Symanzik, J. (2013), “An Applet for the Investigation of Simpson's Paradox,” Journal of Statistics Education, 21. Available at http://ww2.amstat.org/publications/jse/v21n1/schneiter.pdf
  • Simonoff, J. S. (2003), Analyzing Categorical Data, New York: Springer-Verlag.
  • Simpson, E. H. (1951), “The Interpretation of Interaction in Continency Tables,” Journal of the Royal Statistical Society, Series B, 13, 238–241.
  • Tan, A. (1986), “A Geometric Interpretation of Simpson's Paradox,” College Mathematics Journal, 17, 340–341.
  • Thornton, R. J., and Innes, J. T. (1985), “On Simpson's Paradox in Economic Statistics,” Oxford Bulletin of Economics and Statistics, 47, 387–394.
  • Utts, J. M., and Heckard, R. F. (2004), Mind on Statistics (2nd ed.), Boston, MA: Brooks/Cole, Thomson Learning, Inc.
  • Wagner, C. H. (1982), “Simpson's Paradox in Real Life,” The American Statistician, 36, 46–48.
  • Wardrop, R. L. (1995), “Simpson's Paradox and the Hot Hand in Basketball,” The American Statistician, 49, 24–28.
  • Williams, J. (1967), Mathematics Reform in the Primary School: A Report of a Meeting of Experts Held in Hamburg During January 1966, Hamburg, Germany: Unesco Institute for Education.
  • Yule, G. U. (1903), “Notes on the Theory of Association of Attributes in Statistics,” Biometrika, 2, 121–134.

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