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How do you prove that the sample variance is equal to the population variance?
Wiki User
∙ 12y ago
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.
Wiki User
∙ 12y ago
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If the size of a sample equals to the size of the population?
Sample is subset of the population so sample size and population size is different.However, as a subset can be the whole set, if the sample size equals the population size, you have sampled the entire population and you will be 100% accurate with your results; it may cost much more than surveying a [representative] sample, but you get the satisfaction of knowing for what you surveyed the population exactly.Using a sample is a trade off between the cost of surveying the whole population and accuracy of the result.A census is a survey of the whole population and could be considered that the sample size = population size; in this case the results are 100% accurate.The television viewing figures are calculated using a sample of the whole population and then extrapolating them to the whole population; depending upon how the same was chosen, including its size, will affect the accuracy of the results - most likely not more than 95% accurate.With a carefully selected (that is properly biased) sample you can prove almost anything!
How do you prove that a trapezoid is isosceles?
You prove that the two sides (not the bases) are equal in length. Or that the base angles are equal measure.
How can you prove tha2 equals 1?
It isn't equal, and any proof that they are equal is flawed.
What does a rhombus have to have to prove that it is a rhombus?
a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.
How do you prove 3 equal to 1?
It doesn't...I thought that was clear enough...
Why are you using sampling?
Usually we are interested in the characteristics of large populations of items or people. It would often prove costly or impossible to measure these characteristics for the entire population. We therefore measure them for a carefully selected sample of the population and attempt to make scientific inferences about the entire population from the characteristics of the sample.
If the size of a sample equals to the size of the population?
Sample is subset of the population so sample size and population size is different.However, as a subset can be the whole set, if the sample size equals the population size, you have sampled the entire population and you will be 100% accurate with your results; it may cost much more than surveying a [representative] sample, but you get the satisfaction of knowing for what you surveyed the population exactly.Using a sample is a trade off between the cost of surveying the whole population and accuracy of the result.A census is a survey of the whole population and could be considered that the sample size = population size; in this case the results are 100% accurate.The television viewing figures are calculated using a sample of the whole population and then extrapolating them to the whole population; depending upon how the same was chosen, including its size, will affect the accuracy of the results - most likely not more than 95% accurate.With a carefully selected (that is properly biased) sample you can prove almost anything!
How do you prove there is glucose in a sample?
You can prove there is glucose in a sample by using Benedict's Solution. Heat up the sample, and add the Benedict's Solution. Assuming the solution is clear, if glucose is present it will change colour to red, or yellow, or green. If not, it will stay clear.
Can a urine sample prove alcohol consumption from a diabetic?
Yes. No problem.
How do you prove that a trapezoid is isosceles?
You prove that the two sides (not the bases) are equal in length. Or that the base angles are equal measure.
How do you prove that 0.999999999999 is equal to one?
You cannot prove that because it's false
Prove that the diagonals of rectangle are equal?
prove any two adjacent triangles as congruent
What is the meaning of null hypthesis being rejected?
You may want to prove that a given statistic of a population has a given value. This is the null hypothesis. For this you take a sample from the population and measure the statistic of the sample. If the result has a small probability of being (say p = .025) if the null hypothesis is correct, then the null hypothesis is rejected (for p = .025) in favor of an alternative hypothesis. This can be simply that the null hypothesis is incorrect.
What is double sampling?
Sample size calculations for a continuous outcome require specification of the anticipated variance; inaccurate specification can result in an underpowered or overpowered study. For this reason, adaptive methods whereby sample size is recalculated using the variance of a subsample have become increasingly popular. The first proposal of this type (Stein, 1945, Annals of Mathematical Statistics 16, 243-258) used all of the data to estimate the mean difference but only the first stage data to estimate the variance. Stein's procedure is not commonly used because many people perceive it as ignoring relevant data. This is especially problematic when the first stage sample size is small, as would be the case if the anticipated total sample size were small. A more naive approach uses in the denominator of the final test statistic the variance estimate based on all of the data. Applying the Helmert transformation, we show why this naive approach underestimates the true variance and how to construct an unbiased estimate that uses all of the data. We prove that the type I error rate of our procedure cannot exceed alpha. Double and multiple sampling plans were invented to give a questionable lot another chance. For example, if in double sampling the results of the first sample are not conclusive with regard to accepting or rejecting, a second sample is taken. Application of double sampling requires that a first sample of size n1 is taken at random from the (large) lot. The number of defectives is then counted and compared to the first sample's acceptance number a1 and rejection number r1. Denote the number of defectives in sample 1 by d1 and in sample 2 by d2, then: If d1 a1, the lot is accepted. If d1 r1, the lot is rejected. If a1 < d1 < r1, a second sample is taken. If a second sample of size n2 is taken, the number of defectives, d2, is counted. The total number of defectives is D2 = d1 + d2. Now this is compared to the acceptance number a2 and the rejection number r2 of sample 2. In double sampling, r2 = a2 + 1 to ensure a decision on the sample. If D2 a2, the lot is accepted. If D2 r2, the lot is rejected.
How can you prove tha2 equals 1?
It isn't equal, and any proof that they are equal is flawed.
Love equal what?
No, but there is a way to prove that zero equals one.
What does a rhombus have to have to prove that it is a rhombus?
a parallelogram with opposite equal acute angles, opposite equal obtuse angles, and four equal sides.
