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存在无应答时回归分析的样本量选择AI 解读

Assuming nonresponse, inference concerning the regression coefficients of a multiple linear regression is considered from a Bayesian viewpoint. We exploit a two-phase sampling scheme. At each phase the sample design is of the following type: Select a random sample of size n with n 1 responses obtained. Then, a subsample of size n 2(0 ≤ n 2 ≤ n — n 1) is selected from the n — n 1 nonrespondents. Assuming 100 percent response from the units in the subsample, the principal…

存在无应答时回归分析的样本量选择AI 解读

Assuming nonresponse, inference concerning the regression coefficients of a multiple linear regression is considered from a Bayesian viewpoint. We exploit a two-phase sampling scheme. At each phase the sample design is of the following type: Select a random sample of size n with n 1 responses obtained. Then, a subsample of size n 2(0 ≤ n 2 ≤ n — n 1) is selected from the n — n 1 nonrespondents. Assuming 100 percent response from the units in the subsample, the principal…

有限总体分位数的置信区间：简单随机抽样与分层简单随机抽样AI 解读

Summary Given a finite population consisting of N units, it is desired to have a confidence interval for the (t/N)th quantile, Y (t), of the population. Assuming simple random sampling, a confidence interval procedure is suggested and several expressions for the associated confidence coefficient are given. With stratified simple random sampling, for L = 2 strata, three confidence interval procedures are suggested. The associated confidence coefficients are derived under each…

两个交叉乘积矩阵之和的逆矩阵的预后验分布AI 解读

In this note the preposterior distribution of the inverse of the sum S = S1 + S2 of two cross–product matrices is derived. It is assumed that the investigation consists of pilot and main random samples of multivariate normal random variables which yield the cross–product matrices S1 and S2, respectively. The desired preposterior distribution is that of S-1 conditional on S1. This result is useful in determining the optimal number of ‘nonrespondents’ it is appropriate to…

货币供给估计中的抽样问题AI 解读

In this article, the selection and testing of a sample of member banks of the Federal Reserve System are described. The objectives are timely and accurate estimation of monetary aggregates for the population of member banks. This sampling problem is unusual for two reasons: the need to produce regular weekly estimates on an accelerated time schedule, and the extensive historical data available. These past data afford an opportunity to improve the precision of estimation and…

货币供应量估计中的抽样问题AI 解读

In this article, the selection and testing of a sample of member banks of the Federal Reserve System are described. The objectives are timely and accurate estimation of monetary aggregates for the population of member banks. This sampling problem is unusual for two reasons: the need to produce regular weekly estimates on an accelerated time schedule, and the extensive historical data available. These past data afford an opportunity to improve the precision of estimation and…

摘要暂缺

两个交叉乘积矩阵之和的逆矩阵的预后验分布AI 解读

In this note the preposterior distribution of the inverse of the sum S = S1 + S2 of two cross–product matrices is derived. It is assumed that the investigation consists of pilot and main random samples of multivariate normal random variables which yield the cross–product matrices S1 and S2, respectively. The desired preposterior distribution is that of S-1 conditional on S1. This result is useful in determining the optimal number of ‘nonrespondents’ it is appropriate to…

用于比较子总体均值的序贯抽样AI 解读

If it is required to compare the means of several domains of study in a finite population and if the domain to which each unit belongs cannot be ascertained before sampling, one may sample sequentially until specified precision requirements are met. Here, we determine the probability, P(n), that the precision requirements are satisfied by the time n observations have been selected randomly from the finite population. The dependence of P(n) on typically unknown design…

用于比较子总体均值的序贯抽样AI 解读

If it is required to compare the means of several domains of study in a finite population and if the domain to which each unit belongs cannot be ascertained before sampling, one may sample sequentially until specified precision requirements are met. Here, we determine the probability, P(n), that the precision requirements are satisfied by the time n observations have been selected randomly from the finite population. The dependence of P(n) on typically unknown design…

利用两阶段抽样估计子总体均值AI 解读

In sample surveys, it is often desired to estimate the means of subpopulations or ‘domains of study’. If there is no list of the units comprising each domain, a two-phase sampling procedure may be employed. One possibility is to select a simple random sample of size n′ with the domain to which each unit belongs being determined. Then a simple random subsample of size n′j, is selected from the n′j, units found in the first phase sample to be members of the jth domain. Given…

利用两阶段抽样估计子总体均值AI 解读

In sample surveys, it is often desired to estimate the means of subpopulations or ‘domains of study’. If there is no list of the units comprising each domain, a two-phase sampling procedure may be employed. One possibility is to select a simple random sample of size n′ with the domain to which each unit belongs being determined. Then a simple random subsample of size n′j, is selected from the n′j, units found in the first phase sample to be members of the jth domain. Given…

序贯抽样在分析性调查中的应用AI 解读

SUMMARY The nature of an analytical sample survey is discussed in general, and a sequential sampling scheme is proposed for certain situations. It is assumed that the subgroups of the population which are to be compared form a one-way classification, and are not identifiable in advance of drawing a simple random sample from the population. With sequential sampling, one continues to sample from the general population until the variance constraints are satisfied. It is…

分析性调查的双重抽样方案AI 解读

The concept of analytical sample surveys is discussed in general, and a double sampling scheme is proposed for certain situations. Emphasis is placed on the presentation of a method which can be used to solve a certain class of problems. It is assumed that the subgroups of the population which are to be compared form a one-way classification, and are not identifiable in advance of drawing a simple random sample from the population. With double sampling, a large sample is…

摘要暂缺

采用整群抽样的分析性调查设计AI 解读

Summary This paper concerns the designing of certain analytical surveys (utilizing cluster sampling). The general concepts and problems peculiar to this type of study are discussed. The question of the relevant population for inference purposes is treated, and this is reflected in the model considered. Illustrations are given to clarify the situations where this type of model may be applicable. In general, the objective in planning such a survey is to select the sample so…