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Bubble Plots as a Model-Free Graphical Tool for Continuous Variables

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Advances in Social Science Research Using R

Part of the book series: Lecture Notes in Statistics ((LNSP,volume 196))

Abstract

Researchers often wish to understand the relationship between two continuous predictors and a common continuous outcome. Many options for graphing such relationships, including conditional regression lines or 3D regression surfaces, depend on an underlying model of the data. The veridicality of the graph depends upon the veridicality of the model, and poor models can result in misleading graphs. An enhanced 2D scatter plot or bubble plot that represents values of a variable using the size of the plotted circles offers a model-free alternative. The R function bp3way() implements the bubble plot with a variety of user specifiable parameters. An empirical study demonstrates the comparability of bubble plots to other model-free plots for exploring three-way continuous data.

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References

  1. Aiken, L.S., West, S.G.: Multiple Regression: Testing and Interpreting Interactions. Sage Publications, Inc, Newbury Park (1991)

    Google Scholar 

  2. Baron, R.B., Kenny, D.A.: The moderator-mediator variable distinction in social psychological research: conceptual, strategic, and statistical considerations. Journal of Personality and Social Psychology 51(6), 1173–1182 (1986)

    Article  Google Scholar 

  3. Cleveland, W.S.: The Elements of Graphing Data. Wadsworth Advanced Books and Software, Monterey (1985)

    Google Scholar 

  4. Cleveland, W.S.: Visualizing Data. Hobart press, Summit, New Jersey (1993)

    Google Scholar 

  5. Cleveland, W.S.: The Elements of Graphing Data, revised edn. Hobart Press, Summit, NJ (1994)

    Google Scholar 

  6. Cleveland, W.S., Harris, C.S., McGill, R.: Experiments on quantitative judgments of graphics and maps. The Bell System Technical Journal 62(6), 1659–1674 (1982)

    Google Scholar 

  7. Cleveland, W.S., McGill, R.: An experiment in graphical perception. International Journal of Man-Machines Studies 25(5), 491–500 (1986)

    Article  Google Scholar 

  8. Cohen, J.: The cost of dichotomization. Applied Psychological Measurement 7(3), 249–253 (1983)

    Article  Google Scholar 

  9. Cohen, J., Cohen, P., West, S., Aiken, L.: Applied multiple regression/correlation analyses for the behavioral sciences, 3rd edn. Lawrence Erlbaum, Hillsdale, NJ (2002)

    Google Scholar 

  10. Fox, J.: An R and S-Plus Companion to Applied Regression. Sage Publications, Thousand Oaks (2002)

    Google Scholar 

  11. Fox, J.: car: Companion to Applied Regression. R package version 1.2-14 (2009). URL {http://CRAN.R-project.org/package=car}. I am grateful to Douglas Bates, David Firth, Michael Friendly, Gregor Gorjanc, Spencer Graves, Richard Heiberger, Georges Monette, Henric Nilsson, Derek Ogle, Brian Ripley, Sanford Weisberg, and Achim Zeileis for various suggestions and contributions

  12. Hartwig, F., Dearing, B.E.: Exploratory data analysis. Sage university paper series on quantitative applications in the social sciences, series no. 07-016. Sage Publications, Beverly Hills (1979)

    Google Scholar 

  13. Kraemer, H.C., Kiernan, M., Essex, M., Kupfer, D.J.: How and why criteria defining moderators and mediators differ between baron & kenny and macarthur approaches. Health Psychology 27(2), S101–S108 (2008)

    Article  Google Scholar 

  14. MacCallum, R.C., Zhang, S., Preacher, K.J., Rucker, D.D.: On the practice of dichotomizing of quantitative variables. Psychological Methods 7, 19–40 (2002)

    Article  Google Scholar 

  15. MacKinnon, D.P., Fairchild, A.J., Fritz, M.S.: Mediation analysis. Annual Review of Psychology 58, 593–614 (2007)

    Article  Google Scholar 

  16. Maxwell, S.E., Delaney, H.D.: Bivariate median splits and spurious statistical significance. Psychological bulletin 113(1), 181–190 (1993)

    Article  Google Scholar 

  17. Muthen, L.K., Muthen, B.O.: Mplus user’s guide, 5th edn. Muthen and Muthen, Los Angeles, CA (2007)

    Google Scholar 

  18. R Development Core Team: R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria (2009). URL {http://www.R-project.org}. ISBN 3-900051-07-0

  19. Robbins, N.B.: Creating More Effective Graphs. John Wiley & Sons, Hoboken (2005)

    Google Scholar 

  20. Schiffman, H.R.: Constancy and illusion. In: Sensation and perception, 5th edn., pp. 250–286. Wiley, New York (2002)

    Google Scholar 

  21. Schmid, C.F.: Statistical Graphics: Design Principles and Practices. Wiley, New York (1983)

    Google Scholar 

  22. Tufte, E.R.: The Visual Display of Quantitative Information. Graphic Press, Cheshire (2001)

    Google Scholar 

  23. Tukey, J.W.: Exploratory data analysis. Addison-Wesley, Reading, MA (1977)

    Google Scholar 

  24. Wainer, H.: Visual Revelations: graphic tales of fate and deception from Napoleon Bonaparte to Ross Perot. Copernicus, New York (1997)

    Google Scholar 

  25. Wright, D.B., London, K.: Modern Regression Techniques Using R. Sage, Washington DC (2009)

    Google Scholar 

Download references

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Correspondence to Keith A. Markus .

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Markus, K.A., Gu, W. (2010). Bubble Plots as a Model-Free Graphical Tool for Continuous Variables. In: Vinod, H. (eds) Advances in Social Science Research Using R. Lecture Notes in Statistics(), vol 196. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-1764-5_5

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