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Usually the sum of squared deviations from the mean is divided by n-1, where n is the number of observations in the sample.

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Q: Why do you divide by instead of when calculating the sample variance?
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Which three elements are necessary for calculating a confidence interval?

Variance, t-value, sample mean


What is the sample variance and the estimated standard error for a sample of n 4 scores with SS 300?

The sample variance is obtained by dividing SS by the degrees of freedom (n-1). In this case, the sample variance is SS/(n-1) = 300/(4-1) = 300/3 = 100 In order to get the standard error, you can do one of two things: a) divide the variance by n and get the square root of the result: square.root (100/4) = square.root(25) = 5, or b) get the standard deviation and divide it by the square root of n. 10/square.root(4) = 10/2 = 5


Show that in simple random sampling the sample variance is an unbiased estimator of population variance?

It is a biased estimator. S.R.S leads to a biased sample variance but i.i.d random sampling leads to a unbiased sample variance.


Can the variance of a sample be negaTIve?

No.


How do you calculate salary variance?

I believe you are interested in calculating the variance from a set of data related to salaries. Variance = square of the standard deviation, where: s= square root[sum (xi- mean)2/(n-1)] where mean of the set is the sum of all data divided by the number in the sample. X of i is a single data point (single salary). If instead of a sample of data, you have the entire population of size N, substitute N for n-1 in the above equation. You may find more information on the interpretation of variance, by searching wikipedia under variance and standard deviation. I note that an advantage of using the standard deviation rather than variance, is because the standard deviation will be in the same units as the mean.

Related questions

Which three elements are necessary for calculating a confidence interval?

Variance, t-value, sample mean


What is the sample variance and the estimated standard error for a sample of n 4 scores with SS 300?

The sample variance is obtained by dividing SS by the degrees of freedom (n-1). In this case, the sample variance is SS/(n-1) = 300/(4-1) = 300/3 = 100 In order to get the standard error, you can do one of two things: a) divide the variance by n and get the square root of the result: square.root (100/4) = square.root(25) = 5, or b) get the standard deviation and divide it by the square root of n. 10/square.root(4) = 10/2 = 5


Show that in simple random sampling the sample variance is an unbiased estimator of population variance?

It is a biased estimator. S.R.S leads to a biased sample variance but i.i.d random sampling leads to a unbiased sample variance.


What does n-1 indicate in a calculation for variance?

The n-1 indicates that the calculation is being expanded from a sample of a population to the entire population. Bessel's correction(the use of n − 1 instead of n in the formula) is where n is the number of observations in a sample: it corrects the bias in the estimation of the population variance, and some (but not all) of the bias in the estimation of the population standard deviation. That is, when estimating the population variance and standard deviation from a sample when the population mean is unknown, the sample variance is a biased estimator of the population variance, and systematically underestimates it.


Is sample variance unbiased estimator of population variance?

No, it is biased.


What is the sample variance of 5781010 and 14?

The variance is: 1.6709957376e+13


How do you prove that the sample variance is equal to the population variance?

You cannot prove it because it is not true.The expected value of the sample variance is the population variance but that is not the same as the two measures being the same.


Can the variance of a sample be negaTIve?

No.


How do you calculate salary variance?

I believe you are interested in calculating the variance from a set of data related to salaries. Variance = square of the standard deviation, where: s= square root[sum (xi- mean)2/(n-1)] where mean of the set is the sum of all data divided by the number in the sample. X of i is a single data point (single salary). If instead of a sample of data, you have the entire population of size N, substitute N for n-1 in the above equation. You may find more information on the interpretation of variance, by searching wikipedia under variance and standard deviation. I note that an advantage of using the standard deviation rather than variance, is because the standard deviation will be in the same units as the mean.


What is the sample variance with the mean of 190.3?

The mean, by itself, does not provide sufficient information to make any assessment of the sample variance.


Do you have a sample school variance letter?

no


What does it mean to say that the sample variance provides an unbiased estimate of the population variance?

It means you can take a measure of the variance of the sample and expect that result to be consistent for the entire population, and the sample is a valid representation for/of the population and does not influence that measure of the population.