MedCalc
SEM function
Description
Standard error of the mean function. SEM(range) calculates the standard error of the mean (SEM) of the data in range.
The argument range can be a list of numbers, cell addresses, cell ranges (such as A1:A10).
Range can also be a matrix. In that case the function returns a matrix with one row and the same number of columns, with each element the SEM of the corresponding column. If range is a row matrix, it is converted to a column matrix first.
The Standard Error of the Mean (SEM) is calculated as follows:
$$SEM = \frac{s}{\sqrt{n}} $$
$$SEM = \frac{s}{\sqrt{n}} $$
where s is the standard deviation:
$$s = \sqrt{\frac{\sum_{}^{}{(x-\bar{x})^2}}{n-1}} $$
Example
SEM(A1:A8) calculates the standard error of the mean of the contents of cells A1 to A8.
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