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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.

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12y ago

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What is the proof that demonstrates the unbiased estimator of variance?

The proof that demonstrates the unbiased estimator of variance involves showing that the expected value of the estimator equals the true variance of the population. This is typically done through mathematical calculations and statistical principles to ensure that the estimator provides an accurate and unbiased estimate of the variance.


Is sample variance unbiased estimator of population variance?

No, it is biased.


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.


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.


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.


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


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.


If a sample of 66 employees were taken from a population of 820 employees s2 could refer to the variance of how many of the employees salarues?

In this context, ( s^2 ) would refer to the sample variance of the salaries of the 66 employees taken from the population of 820 employees. It is a measure of how much the salaries of these sampled employees deviate from their average salary. This sample variance provides an estimate of the variance of the population, assuming that the sample is representative.


What is a statistical estimate of the proportion of the total variance in some trait that is attributable to genetic differences among individuals within a group?

Heritability is the statistical estimate of the proportion of the total variance in a trait that is attributed to genetic differences among individuals within a group. It provides a way to quantify the extent to which genetic factors contribute to individual differences in a specific trait within a population.


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.


Why sampling needed?

Sampling is needed in order to determine the properties of a distribution or a population. Sampling allows the scientist to determine the variance in an estimate.


What is the variance of 6.6 8.5 4.6 1.7 2.4?

(Population) variance = 6.4664