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It's important to visualize the SDs when there are several groups, because if the SDs differ too much, you may have to use log transformation or rank transformation before you compute When you compare group means, showing SDs conveys an idea of the magnitude of the difference between the means, because you can see how big the difference is relative to the This helps compensate for any incidental inaccuracies related the gathering of the sample.In cases where multiple samples are collected, the mean of each sample may vary slightly from the others, creating Standard Error Symbol So if the SEMs don't show statistical significance in experiments, what's the point of having them anywhere else?

Some people think you should show SEMs with means, because they think it's important to indicate how accurate the estimate of the mean is. The bottom line: never show SEMs. Standard error functions more as a way to determine the accuracy of the sample or the accuracy of multiple samples by analyzing deviation within the means. http://wx2me.com/standard-error/see-standard-error.php Showing an SEM with the mean is silly.

Besides, does anyone know how much SEMs have to overlap or not overlap before you can say the difference is significant? The standard deviation (SD) represents variation in the values of a variable, whereas the standard error of the mean (SEM) represents the spread that the mean of a sample of the It represents the standard deviation of the mean within a dataset. The standard error of the mean for the pretest academic responsibility data was SE = .Service-learning and student attitudesThe results of three independent experiments are expressed as the mean of counts

Go to: Next Previous Contents Search Home editor Last updated 25 June 03 Standard error of the mean | definition of standard error of the mean by Medical When the standard error is small, the data is said to be more representative of the true mean. Want to thank TFD for its existence? You can also log in with FacebookTwitterGoogle+Yahoo +Add current page to bookmarks TheFreeDictionary presents: Write what you mean clearly and correctly.