• Title/Summary/Keyword: cut -off stratum

Search Result 10, Processing Time 0.025 seconds

Estimation of Cut-off Stratum in the Highly Skewed Population (왜도가 심한 모집단의 절사층 추정)

  • 한근식
    • Survey Research
    • /
    • v.5 no.1
    • /
    • pp.93-101
    • /
    • 2004
  • In business survey, cut-off sampling is usual, The contribution from cut-off part of the population is at least small in comparison with the remaining population. In this case, part of the target population is excluded from the selection and parameter estimations are only based on Take-all and Take-some stratum. It may be tempting not to use resources on enterprises that contribute little to the overall results of the survey. And this reduces the response burden for these small enterprises. But, the size of cut-off stratum has been increased as a way to manage reduced budgets. This leads to additional bias. In this study, the population have been separated as three stratum, cut -off, take-some, take-all, and we will estimate cut-off part using auxiliary variable.

  • PDF

A Study on the Optimal Cut-off Point in the Cut-off Sampling Method (절사표본에서 최적 절사점에 관한 연구)

  • Lee, Sang Eun;Cho, Min Ji;Shin, Key-Il
    • The Korean Journal of Applied Statistics
    • /
    • v.27 no.3
    • /
    • pp.501-512
    • /
    • 2014
  • Modified cut-off sampling is widely used for highly skewed data. A serious drawback of modified cut-off sampling is the difficulty of adjustment of non-response in take-all stratum. Therefore, solutions of the problems of non-response in take-all stratum have been studied in various ways such as substitute of samples, imputation or re-weight method. In this paper, a new cut-off point based on minimizing MSE being used in exponential and power functions is suggested and it can be reduced the number of take-all stratum. We also investigate another cut-off point determination method with underlying distributions such as truncated log-normal and truncated gamma distributions. Finally we suggest the optimal cut-off point which has a minimum of take-all stratum size among suggested methods. Simulation studies are performed and Labor Survey data and simulated data are used for the case study.

An Improved Composite Estimator for Cut-off Sampling

  • Hwang, Hee-Jin;Shin, Key-Il
    • Communications for Statistical Applications and Methods
    • /
    • v.20 no.5
    • /
    • pp.367-376
    • /
    • 2013
  • Cut-off sampling is widely used for a highly skewed population like a business survey by discarding a part of the population (the take-nothing stratum). In this paper, we suggest a new composite estimator of the take-nothing stratum total obtained by use of the survey results of the take-nothing stratum and a take-some sub-stratum (a part of take-some stratum) for a more accurate estimate of the population total. Small simulation studies are conducted to compare the performances of known estimators and the new composite estimator suggested in this study. In addition, we use briquette consumption survey data for real data analysis.

Cut off Sampling and Estimation (절사법과 추정)

  • 한근식
    • Proceedings of the Korean Association for Survey Research Conference
    • /
    • 2003.06a
    • /
    • pp.29-33
    • /
    • 2003
  • In business survey. cut off sampling is usual. The contribution from cut off part of the population is at least small in comparison with the remaining population. In this study. the population have been separated as three stratum, cut-off. take-some, take-all, and we will estimate cut-off part.

  • PDF

A Composite Estimator for the Take-Nothing Stratum of Cut-Off Sampling (복합추정량을 이용한 절사표본 총합 추정에 관한 연구)

  • Kim, Ji-Hak;Shin, Key-Il
    • The Korean Journal of Applied Statistics
    • /
    • v.24 no.6
    • /
    • pp.1115-1128
    • /
    • 2011
  • Cut-off sampling that discards a part of the population from the sampling frame, is a widely used method for a highly skewed population like a business survey. Usually to the estimate of population total, we need to estimate the total of the take-nothing stratum. Many estimators have been developed to estimate the total of the take-nothing stratum. In this paper, we suggest a new composite estimator which combines the estimator suggested by Sarndal et al. (1992) and a ratio estimator obtained by small samples from the take-nothing stratum. Small simulation studies are performed for the comparison of the estimators and we confirm that the new suggested estimator is superior to the others.

A Composite Estimator for Cut-off Sampling using Cost Function (절사표본 설계에서 비용함수를 고려한 복합추정량)

  • Sim, Hyo-Seon;Shin, Key-Il
    • The Korean Journal of Applied Statistics
    • /
    • v.27 no.1
    • /
    • pp.43-59
    • /
    • 2014
  • Cut-off sampling has been widely used for a highly skewed population like a business survey by discarding a part of the population, so called a take-nothing stratum. For a more accurate estimate of the population total, Hwang and Shin (2013) suggested a composite estimator of a take-nothing stratum total that combined the survey results of a take-nothing stratum and a take-some sub-stratum (a part of take-some stratum). In this paper we propose a new cut-off sampling scheme by considering a cost function and a composite estimator based on the proposed sampling scheme. Small simulation studies compared the performances of known composite estimators and the new composite estimator suggested in this study. We also use Briquette Consumption Survey data for real data analysis.

An Alternative Composite Estimator for the Take-Nothing Stratum of the Cut-Off Sampling (절사층 총합추정을 위한 복합추정량)

  • Hwang, Jong-Min;Shin, Key-Il
    • Communications for Statistical Applications and Methods
    • /
    • v.19 no.1
    • /
    • pp.13-22
    • /
    • 2012
  • Cut-off sampling that discards a part of the population from the sampling frame, is a widely used method for a business survey. Usually, to the estimate of population total, an accurate estimate of the total of the take-nothing stratum is required. Many estimators have been developed to estimate the total of the take-nothing stratum. Recently Kim and Shin (2011) suggested a composite estimator and showed the superiority of that estimator. In this paper, we suggest an alternative composite estimator obtained by combining BLUP estimator and a ratio estimator obtained by the small samples from the take-nothing stratum. Small simulation studies are performed for a comparison of the estimators and we confirm that the new suggested estimator is superior.

A study for the efficiency of the cut-off method in highly skewed populations (왜도(Skewness)가 심한 모집단에서의 절사법효과에 관한 연구)

  • 한근식;김용철
    • The Korean Journal of Applied Statistics
    • /
    • v.9 no.2
    • /
    • pp.161-169
    • /
    • 1996
  • In the design of the sampling, it is important to make a decision about the size of the sample to be selected from the population. We often have a problem to get the optical size of the sample to be considered for cost and time expended for selecting sample unit from highly skewed population. In this case, we give a graphical criterion with Take-all Stratum rate to choose a method and also illustrate the efficiency between the Neyman allocation and the cut-off method with real data.

  • PDF

A study on non-response bias adjusted estimation for take-all stratum (전수층 무응답 편향보정 추정법에 관한 연구)

  • Chung, Hee Young;Shin, Key-Il
    • The Korean Journal of Applied Statistics
    • /
    • v.33 no.4
    • /
    • pp.409-420
    • /
    • 2020
  • In business survey, modified cut-off sampling is commonly used to greatly increase the accuracy of the estimation while reducing the number of samples. However, non-response rate of take-all stratum has increased significantly and the sample substitution is not possible because the non-response in the take-all stratum affects the accuracy of the estimation. It is important to adjust the bias appropriately if non-response is affected by the variable of interest. In this study, a bias adjusted estimation is proposed as an appropriate method to deal with a non-response in the take-all stratum. In particular, the estimator proposed by Chung and Shin (2020) was applied to the bias adjustment for the take-all stratum; therefore, we suggest a new method to adjust properly for the take-all stratum. The superiority of the proposed estimator was examined through simulation studies and confirmed through actual data analysis.

Mechanical model for analyzing the water-resisting key stratum to evaluate water inrush from goaf in roof

  • Ma, Kai;Yang, Tianhong;Zhao, Yong;Hou, Xiangang;Liu, Yilong;Hou, Junxu;Zheng, Wenxian;Ye, Qiang
    • Geomechanics and Engineering
    • /
    • v.28 no.3
    • /
    • pp.299-311
    • /
    • 2022
  • Water-resisting key stratum (WKS) between coal seams is an important barrier that prevents water inrush from goaf in roof under multi-seam mining. The occurrence of water inrush can be evaluated effectively by analyzing the fracture of WKS in multi-seam mining. A "long beam" water inrush mechanical model was established using the multi-seam mining of No. 2+3 and No. 8 coal seams in Xiqu Mine as the research basis. The model comprehensively considers the pressure from goaf, the gravity of overburden rock, the gravity of accumulated water, and the constraint conditions. The stress distribution expression of the WKS was obtained under different mining distances in No. 8 coal seam. The criterion of breakage at any point of the WKS was obtained by introducing linear Mohr strength theory. By using the mechanical model, the fracture of the WKS in Xiqu Mine was examined and its breaking position was calculated. And the risk of water inrush was also evaluated. Moreover, breaking process of the WKS was reproduced with Flac3D numerical software, and was analyzed with on-site microseismic monitoring data. The results showed that when the coal face of No. 8 coal seam in Xiqu Mine advances to about 80 m ~ 100 m, the WKS is stretched and broken at the position of 60 m ~ 70 m away from the open-off cut, increasing the risk of water inrush from goaf in roof. This finding matched the result of microseismic analysis, confirming the reliability of the water inrush mechanical model. This study therefore provides a theoretical basis for the prevention of water inrush from goaf in roof in Xiqu Mine. It also provides a method for evaluating and monitoring water inrush from goaf in roof.