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Graphical Display of Means

Horace P. Andrews, Ronald D. Snee and Margaret H. Sarner
The American Statistician
Vol. 34, No. 4 (Nov., 1980), pp. 195-199
DOI: 10.2307/2684060
Stable URL: http://www.jstor.org/stable/2684060
Page Count: 5
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Graphical Display of Means
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Abstract

A graphical procedure for the display of treatment means that enables one to determine the statistical significance of the observed differences is presented. It is shown that the widely used least significant difference and honestly significant difference statistics can be used to construct plots in which any two means whose uncertainty intervals do not overlap are significantly different at the assigned probability level. It is argued that these plots, because of their straightforward decision rules, are more effective than those that show the observed means with standard errors or confidence limits. Several examples of the proposed displays are included to illustrate the procedure.

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