ArticleScientific reports2026
Guidelines for selecting variability measure in limited-size ANOVA experiments.
Article in Scientific reports, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.
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Abstract
Graphical representation of variability is essential for accurately communicating scientific results in applied sciences. In ANOVA experiments with a low number of replicates (n), the selection between pooled or individual standard deviations (SDs) poses a methodological challenge. The aim of this study is to offer practical guidelines to help researchers decide whether to use pooled or individual SDs in tables and figures, when the number of replicates is low. This study uses extensive Monte Carlo simulations (over 2,000 scenarios) to investigate the distributional behaviour of SD estimates across different replications and heterogeneity levels. We compare the performance of pooled versus individual SDs using the Mean Absolute Deviation (MAD) from the true population values, and we evaluate the utility of Levene's and F
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