COMMON MISTEAKS MISTAKES IN USING STATISTICS: Spotting and Avoiding Them

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Example of How Low Power and Publication Bias Interact

The plot below shows effect size vs sample size for studies in a research summary of the effect of supplements on osteoarthritis.  Note the greater variability of effect size and tendency toward larger effect sizes for samples with lower sample size (hence lower power).  Greater variability of effect sizes is expected with low power; publication bias then tends to result in mainly those studies with higher effect size being published.

Plot of effect size vs sample size

Note: Most of these studies also had other mistakes in design, implementation, or analysis. In particular, only one (the one with sample size 104 and effect size 0.61) used intent-to-treat analysis. None of the studies were considered to have adequate blinding.

Last updated May 12, 2011