Displays for Comparing a Given State to Many Others

This article presents a graphical display useful for comparing a chosen individual (e.g., a single state in a state-by-state survey) with the others in the population. The display immediately shows the ranking of the individual in the population, which other individuals are "significantly"...

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Bibliographic Details
Published in:The American statistician 2000-05, Vol.54 (2), p.89-93
Main Authors: Almond, Russell G., Lewis, Charles, Tukey, John W., Yan, Duanli
Format: Article
Language:English
Subjects:
Arithmetic mean
Bonferroni adjustment
Countries
Educational statistics
Error bars
Graphical significance tests
Graphs
Jurisdiction
Mathematics
Mathematics education
Military schools
Multiple comparisons
Report cards
Standard error
Statistical Practice
Statistical results
Statistics
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Summary:This article presents a graphical display useful for comparing a chosen individual (e.g., a single state in a state-by-state survey) with the others in the population. The display immediately shows the ranking of the individual in the population, which other individuals are "significantly" higher than the reference, and which are "significantly" lower. The confidence bars are optimized for making comparisons with the reference individual. We illustrate this display with examples from the National Assessment for Educational Progress (NAEP) and the Third International Mathematics and Science Study (TIMSS).
ISSN:0003-1305
1537-2731
DOI:10.1080/00031305.2000.10474517