[NOTE: This is a repost of a blog that Prasanna Parasurama published at the blogsite Towards Data Science]. Prasanna1 āThe confidence intervals of the two groups overlap, hence the difference is not statistically significantā The statement above is wrong. Overlapping confidence intervals/error bars say nothing about statistical significance. Yet, a lot of people make the mistake of inferring lack of statistical significance.
[Note: This blog is based on our articles āBlinding Us to the Obvious? The Effect of Statistical Training on the Evaluation of Evidenceā (Management Science, 2016) and āStatistical Significance and the Dichotomization of Evidenceā (Journal of the American Statistical Association, 2017).] Introduction The null hypothesis significance testing (NHST) paradigm is the dominant statistical paradigm in the biomedical and social sciences.
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