Research On The Square Size Of Multi-factor Spatial Sampling

This paper studies the method of determining the sample size of multi-index spatial sampling,which has an important impact on the sampling estimation accuracy and survey cost of the total amount.In economic investigation,the determination of the sample size of multi-index spatial sampling is of great importance to the reduction of survey cost and the improvement of sampling estimation accuracy.This paper constructs a cost function based on the influence of factors such as sample size,traffic and fixed cost,and gives a method to determine the optimal sample size of spatial sampling under cost constraints.And the method of determining the optimal sample size of spatial sampling under the accuracy constraint when the total amount of population is effectively estimated.This paper consists of five parts.The first and second chapters mainly introduce the research background and significance of this paper,the research status of domestic and foreign scholars in spatial sampling,the research framework and content,as well as the innovation and deficiencies of this paper.At the same time,it introduces the analysis of the influencing factors of the determination of the sample size in spatial sampling,and elaborates the mathematical and physical relationship of the sample size in spatial sampling.Chapter 3 compares the difference between traditional sampling technology and spatial sampling technology to minimize the overall accuracy of sampling extrapolation under the control of cost;reduces the cost of sampling survey under the control of accuracy,determines the optimal sample size,and discusses the merits of the overall estimator.The fourth chapter mainly carries on the empirical analysis to the third chapter’s method research,carries on the operation reorganization using the obtained mathematical relations,and compares the efficiency of spatial sampling and traditional sampling.The fifth chapter summarizes and prospects the possible problems in the paper through the research on the sample size of multi-index spatial sampling from many aspects,and points out that the next research may need to be supplemented and improved.Compared with the traditional simple random sampling,the spatial sampling can achieve a higher estimation accuracy with a smaller survey area,and its efficiency is much higher than the traditional simple random sampling.This paper constructs the cost function of spatial sampling survey based on factors such as sample size,traffic and fixed cost,studies the method of determining the sample size of multi-index spatial sampling,solves the limitation of an index in practical application,analyses the estimation accuracy and investigation cost of the optimal sample size of multi-index spatial sampling,and the theory of multi-index spatial sampling.Knowledge is supplemented,and the proposed method has certain theoretical and practical significance in the field of multi-index spatial sampling.