| 1. | The population variance matches the variance of the generating probability distribution.
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| 2. | The following estimate only replaces the population variances by the sample variances:
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| 3. | To do this, two estimates are made of the population variance.
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| 4. | Most intra-population variance of height is genetic.
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| 5. | There is " no " assumption that the underlying population variances are equal.
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| 6. | For small samples, it is customary to use an unbiased estimator for the population variance.
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| 7. | A well-known example arises in the estimation of the population variance by sample variance.
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| 8. | This is a closely related identity that is structured to create an unbiased estimate of the population variance
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| 9. | I say primitive because the population variance is an expectation, while the population SD is not.
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| 10. | Secondly, the sample variance does not generally minimize mean squared error between sample variance and population variance.
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