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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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โˆ™ 2010-08-01 19:02:41
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Q: What is the difference between standard error of sample mean and sample standard deviation?
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What is the difference between standard error of mean and standard deviation of means?

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.

What is the sample standard deviation of 27.5?

A single observation cannot have a sample standard deviation.

What is the relationship between standard deviation and variance for the same sample data?

The standard deviation is the square root of the variance.

What does the sample standard deviation best estimate?

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

Can a standard deviation of a sample be equal to a standard deviation of a population?


How do i find sample standard deviation from population standard deviation?

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)]

What is the statistic that is used to estimate a population standard deviation?

the sample standard deviation

How does one calculate the standard error of the sample mean?

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.

Sample standard deviation?

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.

What happens if you estimate population standard deviation with the sample standard deviation?

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

Is sample standard deviation the same as standard deviation?

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.

What is a standard sample deviation?

Milimetres and Centimetres.

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