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简单随机抽样的性质AI 解读

As an estimator of the population mean, the sample mean based only on the distinct units possesses a remarkable invariance property. Under three forms of simple random sampling, viz. simple random sampling without replacement (SRSWOR), simple random sampling with replacement (SRSWR), and fixed cost simple random sampling (SRSFC), it is admissible and unbiased; and asymptotically normally distributed if and only if the Erdos-Renyi-Hajek condition is satisfied. An important…

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方差分析与多元分析若干非参数推广导论AI 解读

It is clear that a p-variate body of data arranged in a q-way classification will formally look llke a (p+q)-dimensional contingency table, but a distinction can be made between a ‘variate’ and a ‘way of classification’ in that along the direction of a ‘variate’ the marginal frequencies are supposed to be stochastic variates while along a ‘way of classification’ the marginal frequencies are supposed to be fixed. When, along certain directions, the marginals are fixed, an…