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Subjects>Math>Statistics

What is the symbol that denotes population variance?

Anonymous

∙ 11y ago

Updated: 4/28/2022

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

Wiki User

∙ 11y ago

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What does Sx2 mean in statistics?

In statistics, this is the symbol for the "Variance"

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.

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.

Standard deviation considered a crude measure of variance?

No. Well not exactly. The square of the standard deviation of a sample, when squared (s2) is an unbiased estimate of the variance of the population. I would not call it crude, but just an estimate. An estimate is an approximate value of the parameter of the population you would like to know (estimand) which in this case is the variance.

If the variance of the data a population is 256 what is the standard deviation of the data values?

16

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Related Questions

Symbol for population variance?

the small greek letter sigma squared.

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 does Sx2 mean in statistics?

In statistics, this is the symbol for the "Variance"

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 is the proof that the sample variance is an unbiased estimator?

The proof that the sample variance is an unbiased estimator involves showing that, on average, the sample variance accurately estimates the true variance of the population from which the sample was drawn. This is achieved by demonstrating that the expected value of the sample variance equals the population variance, making it an unbiased estimator.

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.

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.

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.

Is there a proof that demonstrates the unbiasedness of the sample variance?

Yes, there is a mathematical proof that demonstrates the unbiasedness of the sample variance. This proof shows that the expected value of the sample variance is equal to the population variance, making it an unbiased estimator.

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