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Standard error

A statistical measure of the dispersion of a set of values. The standard error provides an estimation of the extent to which the mean of a given set of scores drawn from a sample differs from the true mean score of the whole population. It should be applied only to interval-level measures.

Standard deviation

A measure of the dispersion of a set of data from its mean. The more spread apart the data is, the higher the deviation,is defined as follows:

Standard error x sqrt(n) = Standard deviation

Which means that Std Dev is bigger than Std err

Also, Std Dev refers to a bigger sample, while Std err refers to a smaller sample

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Q: What is the difference between standard error of sample mean and sample standard deviation?

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Standard error of the mean (SEM) and standard deviation of the mean is the same thing. However, standard deviation is not the same as the SEM. To obtain SEM from the standard deviation, divide the standard deviation by the square root of the sample size.

A single observation cannot have a sample standard deviation.

The standard deviation is the square root of the variance.

If the population standard deviation is sigma, then the estimate for the sample standard error for a sample of size n, is s = sigma*sqrt[n/(n-1)]

the sample standard deviation

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Standard error of the mean (SEM) and standard deviation of the mean is the same thing. However, standard deviation is not the same as the SEM. To obtain SEM from the standard deviation, divide the standard deviation by the square root of the sample size.

A single observation cannot have a sample standard deviation.

The standard deviation is the square root of the variance.

The standard deviation of the population. the standard deviation of the population.

Yes

If the population standard deviation is sigma, then the estimate for the sample standard error for a sample of size n, is s = sigma*sqrt[n/(n-1)]

the sample standard deviation

Standard error of the sample mean is calculated dividing the the sample estimate of population standard deviation ("sample standard deviation") by the square root of sample size.

Standard deviation in statistics refers to how much deviation there is from the average or mean value. Sample deviation refers to the data that was collected from a smaller pool than the population.

Not a lot. After all, the sample sd is an estimate for the population sd.

No, the standard deviation is a measure of the entire population. The sample standard deviation is an unbiased estimator of the population. It is different in notation and is written as 's' as opposed to the greek letter sigma. Mathematically the difference is a factor of n/(n-1) in the variance of the sample. As you can see the value is greater than 1 so it will increase the value you get for your sample mean. Essentially, this covers for the fact that you are unlikely to obtain the full population variation when you sample.

Milimetres and Centimetres.

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