样本均值的抽样分布是所有的样本均值形成的分布,即μ的概率分布。样本均值的抽样分布在形状上却是对称的。随着样本量n的增大,不论原来的总体是否服从正态分布,样本均值的抽样分布都将趋于正态分布,其分布的数学期望为总体均值μ,方差为总体方差的1/n。这就是中心极限定理(central limit theorem)。
样本平均值的抽样分布 Sampling distribution of sample mean
分析和实际模拟表明,在以正态分布进行抽样的前提下,合理选取抽样样本平均值和标准差,可使抽样效率进一步提高。
Theorical analysis and practical simulation indicate that if the samples are of normal distribution, the modelling efficiency can be increased further by using sensible parameters.
抽样分布样本效果大小的平均值可以作为总体效果大小的估计值 ,它与样本容量和抽样样本数目有密切关系 ;
The simulated experimental results showed that significance t testing is highly related to population distribution effect size and sample capacities, yet rarely related to the numbers of rand…
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