Howard Wainer.
Depicting Error.
In The American Statistician, vol. 50, no. 2, pp. 101-111, 1996.


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Abstract:

Communicating data without some measure of their precision can lead to misinterpretation and incorrect inferences. Several conventions for displaying error along with the data they modify are described and illustrated. Alternatives are offered that seem to provide improvements in the effective communication of error as well as increasing their ease, and hence their likelihood, of use. These alternatives are illustrated principally with data from the National Assessment of Educational Progress.

Bibtex:

@Article{        wainer:1996:DE,
  author = 	 {Howard Wainer},
  title = 	 {Depicting Error},
  journal = 	 {The American Statistician},
  year = 	 {1996},
  volume = 	 {50},
  number = 	 {2},
  pages = 	 {101-111},
  month = 	 {May},
}

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References:

Bachi, R. (1978), "Proposals for the Development of Selected Graphical Methods," in Graphic Presentation of Statistical Information: Papers Presented at the 136th Annual Meeting of the American Statistical Association. U.S. Dept. of Commerce, Bureau of the Census.
Benjamini, Y., and Hochberg, Y. (1995), "Controlling the False Discovery Rate: A Practical and Powerful Approach to Multiple Testing," Journal of the Royal Statistical Society, Ser. B, 57, 289-300.
Bertin, J. (1973), Semiologie Graphique (2nd ed.), The Hague: Mouton-Gautier. (English translation done by William Berg and Howard Wainer and published as Semiology of Graphics, Madison, WI: University of Wisconsin Press, 1983)
Bonferroni, C. E. (1936), "Il Calcolo delle Assicurazioni su Gruppi di Teste," in Studii in Onore del Prof. S. 0. Carboni, Rome, Italy.
Cleveland, W. S. (1994), The Elements of Graphing Data (2nd ed.), Summit, NJ: Hobart.
Ehrenberg, A. S. C. (1977), "Rudiments of Numeracy," Journal of the Royal Statistical Society, Ser. A, 140, 277-297.
Fisher, R. A., Corbet, A. S., and Williams, C. B. (1943), "The Relation Between the Number of Species and the Number of Individuals in a Random Sample of an Animal Population," Journal of Animal Ecology, 12.
Hauser, R. M. and Featherman, D. L. (1976), "Equality of Schooling: Trends and Prospects," Sociology of Edutcation, 49, 92-112.
Herrnstein, R. J., and Murray, C. (1994), The Bell Cursve: Intelligenice and Class Strulctiure in Amiierican Life, New York: The Free Press.
Hoaglin, D. C., and Tukey, J. W. (1985), "Checking the Shape of Discrete Distributions," in Exploring Data Tables, Trenids anid Shapes, eds. D. C.
Hoaglin, F. Mosteller, and J. W. Tukey, New York: Wiley, chap. 9, pp. 345-416.
MacEachren, A. M. (1992), "Visualizing Uncertain Information," Cartogracphic Perspectives, 13, 10-19.
(1994), "Visualization Quality and the Representation of Uncertainty," in Some Truth with Maps: A Primiler on Symbolization anzd Designi, Washington, DC: Association of American Cartographers, chap. 4.
McGill, R., Tukey, J. W., and Larsen, W. (1978), "Variations of Box Plots," The Amiiericani Statisticiani, 32, 12-16.
Miller, R. G. (1966), Simutltaneous Statistical Iniferenice, New York: McGraw-Hill.
Mosteller, F., and Tukey, J. W. (1968), "Data Analysis, Including Statistics," in The Handbook of Social Psychology, Vol. 2, eds. G. Lindzey and E. Aronson, Reading, MA: Addison-Wesley, pp. 80-203.
Pearson, K. (1892), The Gram)m1ar of Science, London: Walter Scott.
Petermann, A. (1852), "Distribution of the Population," Census of Great Britain, 1851, Lithograph, Crayon Shading in the British Library.
Robinson, A. H. (1982), Early Themiiatic Mapping in the Histo;y of Cartography, Chicago: University of Chicago Press.
Quetelet, A. (1832), "Recherches sur le Penchant au Crime aux Diff6rens Ages." Noutvealux Meinoires de /'Acadeinie Royales des Sciences et Belle-Lettres de Bruzxelles, 7, 1-87.
Schmid, C. F. (1983), Stcatistical Graphics: Designi Principles alnd Practices, New York: John Wiley.
Tufte, E. R. (1983), The Visual Display of Quantitative Inifonclation, Cheshire, CT: Graphics Press.
Wainer, H. (1984), "How to Display Data Badly," The Amlerica,o Statistician, 38, 137-147.
(1992), "Understanding Graphs and Tables," Edlucationial Researchler, 21, 14-23.
(1993), "Tabular Presentation," Chance, 6(3), 52-56.
(in press), "Improving Tabular Displays: With NAEP Tables as Examples and Inspirations," Journal of Educationial and Behavioral Statistics, 22.
Walker, H. M., and Durost, W. N. (1936), Statistical Tables: Their Struzctiure and Use, New York: Bureau of Publications, Teachers College, Columbia University.
Williams, V. S. L., Jones, L. V., and Tukey, J. W. (1994), "Controlling Error in Multiple Comparisons with Special Attention to the National Assessment of Educational Progress," Technical Report 33, Research Triangle Park, NC: National Institute of Statistical Sciences.