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Symbol for population variance

Updated: 4/28/2022
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13y ago

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the small greek letter sigma squared.

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Q: Symbol for population variance
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Related questions

Is sample variance unbiased estimator of population variance?

No, it is biased.


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.


What is the symbol that denotes population variance?

It's a lower-case Greek sigma followed by a superscript 2, in other words, "sigma-squared".


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.


What is the variance of 6.6 8.5 4.6 1.7 2.4?

(Population) variance = 6.4664


What does Sx2 mean in statistics?

In statistics, this is the symbol for the "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.


The sample variance is always smaller than the true value of the population variance is always larger than the true value of the population variance could be smaller equal to or?

yes, it can be smaller, equal or larger to the true value of the population varience.


When the null hypothesis is true the ratio of the between groups population variance estimate to the within groups population variance estimate should be about?

1


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 is the symbol to denote the sample variance?

s2, using the Roman lower case letter.


What is Disribution used in estimating population variance?

The lognormal distribution, probably.