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Given simple random samples of size n from a given population with a measured characteristic such as mean, proportion, or standard deviation for each sample, the probability distribution of all the measured characteristics is called a sampling distribution. How much the statistic varies from one sample to another is known as the sampling variability of a statistic. You typically measure the sampling variability of a statistic by its standard error. The standard error of the mean is an example of a standard error. It is a special standard deviation and is known as the standard deviation of the sampling distribution of the mean.

This text is adapted from Openstax, Introductory Statistics, Section 2.7 Measures of Spread of Data

Tags
Sampling DistributionRandom SamplesPopulationMeasured CharacteristicMeanProportionStandard DeviationSampling VariabilityStandard ErrorStandard Deviation Of The Sampling Distribution

来自章节 6:

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6.13 : Sampling Distribution

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6.1 : 统计中的概率

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6.2 : 随机变量

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6.3 : 概率分布

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6.4 : 概率直方图

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6.5 : 不寻常的结果

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6.6 : 期望值

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6.7 : 二项式概率分布

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6.8 : 泊松概率分布

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6.9 : 均匀分布

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6.10 : 正态分布

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6.11 : z 分数和曲线下面积

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6.12 : 正态分布的应用

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6.14 : 中心极限定理

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