![]() ![]() Knowing whether SD error bars overlap or not does not let you conclude whether the difference between the means is statistically significant or not. When the difference between two means is statistically significant (P 0.05), the two SD error bars may or may not overlap. If the samples were smaller with the same means and same standard deviations, the P value would be larger. ![]() If the samples were larger with the same means and same standard deviations, the P value would be much smaller. But the t test also takes into account sample size. Looking at whether the error bars overlap lets you compare the difference between the mean with the amount of scatter within the groups. SD error bars quantify the scatter among the values. Resist that temptation (Lanzante, 2005)! Standard Deviation Error Bars It is tempting to look at whether two error bars overlap or not, and try to reach a conclusion about whether the difference between means is statistically significant. ![]()
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