Standard error
Standard error
In statistics, a measure of the possible error in an estimate. Plus or minus 2 standard errors usually provides a 95% confidence interval.
Standard Error of the Mean
The standard error of the mean (first used by Yule, 1897) is the theoretical standard deviation of all sample means of size n drawn from a population and depends on both the population variance (sigma) and the sample size (n) as indicated below:
= ( 2/n)1/2
where
2 is the population variance and
n is the sample size.
Since the population
variance is typically unknown, the best estimate for the standard error of the mean is then calculated as:
= (s2/n)1/2
where
s2 is the sample
Variance (our best estimate of the population variance) and
n is the sample size.
See also,
Descriptive Statistics Overview .
Standard Error of the Proportion
This is the standard deviation of the distribution of the sample proportion over repeated samples. If the population proportion is , and the sample size is N, the standard error of the proportion when sampling from an infinite population is
p= ( (1- )/N)**1/2
For more information see the chapter on
Power Analysis .
Standard error
Standard error
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