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Cochran's Rule for Simple Random Sampling

简单随机抽样中的 Cochran 规则

Summary Cochran's rule for the minimum sample size to ensure adequate coverage of nominal 95% confidence intervals is derived by using the Edgeworth expansion for the distribution function of the standardized sample mean. The rule is extended for confidence intervals based on the Studentized sample mean. The performance of the rule and Edgeworth approximations for smaller sample sizes are examined by simulation.

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Partial Exchangeability and Survey Sampling Inference

部分可交换性与调查抽样推断

The role of the sampling mechanism for Bayesian inference on symmetric functions of a finite population is examined under partial design and partial label information. A new definition of partial exchangeability is proposed, together with a corresponding property of the sampling mechanism. These properties provide conditions under which certain symmetries in priors or designs can protect against lack of symmetry in others, in the sense of Scott & Smith (1973).

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Partial exchangeability and survey sampling inference

部分可交换性与调查抽样推断

The role of the sampling mechanism for Bayesian inference on symmetric functions of a finite population is examined under partial design and partial label information. A new definition of partial exchangeability is proposed, together with a corresponding property of the sampling mechanism. These properties provide conditions under which certain symmetries in priors or designs can protect against lack of symmetry in others, in the sense of Scott & Smith (1973).

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Ignorable and Informative Designs in Survey Sampling Inference

调查抽样推断中的可忽略与信息性设计

The role of the sample selection mechanism in a model-based approach to finite population inference is examined. When the data analyst has only partial information on the sample design then a design which is ignorable when known fully may become informative. Conditions under which partially known designs can be ignored are established and examined for some standard designs. The results are illustrated by an example used by Scott (1977).

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Ignorable and informative designs in survey sampling inference

调查抽样推断中可忽略与信息性设计

The role of the sample selection mechanism in a model-based approach to finite population inference is examined. When the data analyst has only partial information on the sample design then a design which is ignorable when known fully may become informative. Conditions under which partially known designs can be ignored are established and examined for some standard designs. The results are illustrated by an example used by Scott (1977).

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Inference on Symmetric Functions of Exchangeable Populations

可交换有限总体对称函数的推断

Summary A model is proposed for inference on symmetric functions of a finite population where the only prior information available is exchangeability of the unknown unit values. It is shown through sufficiency that the labels convey no information. When the sample size is fixed, the order statistic is complete as well as sufficient so that optimal estimators are symmetric. In particular, the sample mean is the minimum variance unbiased estimator of the population mean,…

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