A Design On Multi-objeet & Multi-level Composite Sampling

The center government and the local governments want to comprehend all sorts of statistic information, because of their function of managing economy in China. The center government wants to discern overall situation with them and the local governments want to possess them in order to understand their own information. So, the multi-object inferences and the multi-level inferences become the import issue which needs to study and solve urgently in the field of sampling survey.The reason, which multi-object sample and multi-level sample can become one of the main difficulties in the study of sample design, is that there are not relatively mature and regular designs to sample the unit and calculate the variances.The essay uses the internal and external research result for reference, and combines the multi-object sample with multi-level sample, and systematically studies sample design issues of scale applied extensively in practice and the probability proportional to size, that is to study the problem of PPS extensively.In addition, generally, the variance estimation of the graded PPS is adopted the way ofπestimator of H—T, but Hajek's is adopted by the essay. Though it has a deviation, it much better thanπestimator of H—T, and the variance's estimator formulae is simple because it only involves the first-order inclusion probability.Finally, we testifies the science of the sampling by imitating a actual sampling case, and put forward the issues about the applied sampling, the variance calculation and the sample rotating,etc.The new ideas is as the followingFirstly, the essay combines the multi-object sample design with graded sample design----more important ways in the sample designs, and put forward a newest way of the graded muti-object compound sample design(PPS)Secondly, the essay adopts a new estimated amount which simplifies the issue of variance calculation greatly and has the sample design become rather high practical value.Thirdly, the essay study the multi-object sample capacity systematically, and testify the existence of the location of the best sample, and introduce the theory of PRNs, and put forward a simple way to settle.Fourthly, the essay combines Chao Scheme with PRNs for the first time, and...