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What does it means if the standard deviation is large?
that you have a large variance in the population and/or your sample size is too small
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 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
Table of sample size for population variance?
There is a brief table in Mario Triola's Elementary Statistics text. In the 9th edition it is on pages 354 - 355 with an example.
Symbol for population variance?
the small greek letter sigma squared.
What does it means if the standard deviation is large?
that you have a large variance in the population and/or your sample size is too small
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"
How much error between sample mean and population mean?
The answer depends on the underlying variance (standard deviation) in the population, the size of the sample and the procedure used to select the sample.
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
