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Visualization tools of statistical post-hoc test results

Acronym:PostHoc
Project type:Consulting RTD
Time frame:2003
Funding agency:UGent

Geographic keyword: Europe | Belgium
General keyword: Software development
Specific keyword: Visualisation tools | Large multidimensional data sets

Visualisation tools for Post-hoc tests associated with Non-parameteric Multiple-way Analysis of Variance

Multiple-way Analysis of Variance is used when purpose is: looking for difference in the medians of conditions (treatments). Consequently, with a multiple-way ANOVA following hypothesis is tested:

H0 median condition 1 = median condition 2 = ... = median condition N
H1 median condition 1 != ... != median condition N

However, if the ANOVA results in the acceptance of H0, some groups still might have significantly different group means. To pinpoint these groups, post-hoc tests are necessary. Within the framework of this project, a multiple comparison algorithm (the case of all pair wise comparisons with Dunn/Bonferroni type adjustment) and associated visualization tools were elaborated. The figures below show a 2D grid of all possible pair wise comparisons and the calculated post-hoc test value.

Legend to the figures:
Figure 1:
Figure 2:
Risschotlei 33      2980 Zoersel      Belgium      tel ++32 (0)3 458 29 79      fax ++32 (0)3 458 29 79