Sampling Distribution
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High Quality Content by WIKIPEDIA articles! In statistics, a sampling distribution is the probability distribution of a given statistic based on a random sample of size n. It may be considered as the distribution of the statistic for all possible samples of a given size. The sampling distribution depends on the underlying distribution of the population, the statistic being considered, and the sample size used. The sampling distribution is frequently opposed to the asymptotic distribution, which corresponds to the limit case n . For example, consider a normal population with mean and variance Â...
High Quality Content by WIKIPEDIA articles! In statistics, a sampling distribution is the probability distribution of a given statistic based on a random sample of size n. It may be considered as the distribution of the statistic for all possible samples of a given size. The sampling distribution depends on the underlying distribution of the population, the statistic being considered, and the sample size used. The sampling distribution is frequently opposed to the asymptotic distribution, which corresponds to the limit case n . For example, consider a normal population with mean and variance ². Assume we repeatedly take samples of a given size from this population and calculate the arithmetic mean scriptstyle bar x for each sample this statistic is called the sample mean. Each sample will have its own average value, and the distribution of these averages will be called the sampling distribution of the sample mean . This distribution will be normal scriptstyle mathcal{N}(mu,, sigma^2/n) since the underlying population is normal.
