• Title/Summary/Keyword: Small Area

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Small Area Estimation via Nonparametric Mixed Effects Model

  • Jeong, Seok-Oh;Shin, Key-Il
    • The Korean Journal of Applied Statistics
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    • v.25 no.3
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    • pp.457-464
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    • 2012
  • Small area estimation is a statistical inference method to overcome the large variance due to the small sample size allocated in a small area. Recently some nonparametric estimators have been applied to small area estimation. In this study, we suggest a nonparametric mixed effect small area estimator using kernel smoothing and compare the small area estimators using labor statistics.

Evaluation of EBLUP-Type Estimator Based on a Logistic Linear Mixed Model for Small Area Unemployment (소지역 실업자수 추정을 위한 로지스틱 선형혼합모형 기반 EBLUP 타입 추정량 평가)

  • Kim, Seo-Young;Kwon, Soon-Pil
    • The Korean Journal of Applied Statistics
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    • v.23 no.5
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    • pp.891-908
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    • 2010
  • In Korea, the small area estimation method is currently unpopular in generating o cial statistics. Because it may be difficult to determine the reliability for small area estimation, although small area estimation ha a sufficiently good advantage to generate small area statistics for Korea. This paper inspects the method of making small area unemployment through the small area estimation method. To estimate small area unemployment we used an EBLUP-type estimator based on a logistic linear mixed model. To evaluate the EBLUP-type estimator we accomplished the real data analysis and simulation experiment from the population and housing census data. In addition, small area estimates are compared to large sample survey estimates. We found the provided method in this paper is highly recommendable to generate small area unemployment as the official statistics.

Bayes Prediction for Small Area Estimation

  • Lee, Sang-Eun
    • Communications for Statistical Applications and Methods
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    • v.8 no.2
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    • pp.407-416
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    • 2001
  • Sample surveys are usually designed and analyzed to produce estimates for a large area or populations. Therefore, for the small area estimations, sample sizes are often not large enough to give adequate precision. Several small area estimation methods were proposed in recent years concerning with sample sizes. Here, we will compare simple Bayesian approach with Bayesian prediction for small area estimation based on linear regression model. The performance of the proposed method was evaluated through unemployment population data form Economic Active Population(EAP) Survey.

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Application of In-direct Estimation for Small Area Statistics (소지역 통계 생산을 위한 추정방법)

  • Kim, Young-Won;Sung, Na-Young
    • Journal of the Korean Data and Information Science Society
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    • v.11 no.1
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    • pp.111-126
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    • 2000
  • Small area estimation is becoming important in survey sampling due to a growing demand for reliable small area statistics. In estimating means, totals, and other parameters for small areas of a finite population, samplie sizes for small areas are typically small because the overall sample size is usually determined to provide specific accuracy at a much higher level of aggregation than that of small area. The usual direct estimators that use the only information which is gotten from the sample in a given small area provide unreliable estimates. However, indirect estimators utilize the information from the areas related with a given small area, that is, borrow strength from other related areas, and so give more accurate estimates than direct estimators. In this paper we investigate small area estimation methods such as synthetic, composite and empirical best linear unbiased prediction estimator, and apply them to real domestic data which is from the Survey of Hotels and Restaurants in In-Chon as of 1996 and then evaluate the performance of these methods by measuring average squared errors. This evaluation shows that indirect estimators, which are small area estimation methods, are more efficient than direct estimator.

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Geographically weighted kernel logistic regression for small area proportion estimation

  • Shim, Jooyong;Hwang, Changha
    • Journal of the Korean Data and Information Science Society
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    • v.27 no.2
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    • pp.531-538
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    • 2016
  • In this paper we deal with the small area estimation for the case that the response variables take binary values. The mixed effects models have been extensively studied for the small area estimation, which treats the spatial effects as random effects. However, when the spatial information of each area is given specifically as coordinates it is popular to use the geographically weighted logistic regression to incorporate the spatial information by assuming that the regression parameters vary spatially across areas. In this paper, relaxing the linearity assumption and propose a geographically weighted kernel logistic regression for estimating small area proportions by using basic principle of kernel machine. Numerical studies have been carried out to compare the performance of proposed method with other methods in estimating small area proportion.

Application of In-direct Estimation for Small Area Statistics (소지역 통계분석기법의 활용-도소매업 및 서비스업 통계조사 사례연구-)

  • 김영원;성나영
    • Proceedings of the Korean Association for Survey Research Conference
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    • 2000.06a
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    • pp.57-73
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    • 2000
  • Small area estimation is becoming important in survey sampling due to a growing demand for reliable small area statistics. In estimating means, totals, and other parameters for small areas of a finite population, samplie sizes for small areas are typically small because the overall sample size is usually determined to provide specific accuracy at a much higher level of aggregation than that of small area. The usual direct estimators that use the only information which is gotten from the sample in a given small area provide unreliable estimates. However, indirect estimators utilize the information from the areas related with a given small area, that is borrow strength from other related areas, and so give more accurate estimates than direct estimators. In this paper we investigate small area estimation methods such as synthetic, composite and empirical best linear unbiased prediction estimator, and apply them to real domestic data which is from the Survey of Hotels and Restaurants in In-Chon as of 1996 and then evaluate the performance of these methods by measuring average squared errors. This evaluation shows that indirect estimators, which are small area estimation methods, are more efficient direct estimator.

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Hierachical Bayes Estimation of Small Area Means in Repeated Survey (반복조사에서 소지역자료 베이지안 분석)

  • 김달호;김남희
    • The Korean Journal of Applied Statistics
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    • v.15 no.1
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    • pp.119-128
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    • 2002
  • In this paper, we consider the HB estimators of small area means with repeated survey. mao and Yu(1994) considered small area model with repeated survey data and proposed empirical best linear unbiased estimators. We propose a hierachical Bayes version of Rao and Yu by assigning prior distributions for unknown hyperparameters. We illustrate our HB estimator using very popular data in small area problem and then compare the results with the estimator of Census Bureau and other estimators previously proposed.

A Small Area Estimation for Monthly Wage Using Mean Squared Percentage Error (MSPE를 이용한 임금총액 소지역 추정)

  • Hwang, Hee-Jin;Shin, Key-Il
    • The Korean Journal of Applied Statistics
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    • v.22 no.2
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    • pp.403-414
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    • 2009
  • Many researches have been devoted to the small area estimation related with the area level statistics. Almost all of the small area estimation methods are derived based on minimization of mean squared error(MSE). Recently Hwang and Shin (2008) suggested an alternative small area estimation method by minimizing mean squared percentage error. In this paper we apply this small area estimation method to the labor statistics, especially monthly wages by a branch area of labor department. The Monthly Labor Survey data (2007) is used for analysis and comparison of these methods.

Small Area Variation in Rates of Common Surgery in General Surgery Department (일반외과 영역 다빈도 수술률의 소규모 지역간 변이)

  • 김윤미;양봉민
    • Health Policy and Management
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    • v.14 no.2
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    • pp.138-162
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    • 2004
  • This study was performed to investigate small area variation in rates of three common surgeries in general surgery department across 156 small areas. Three surgery rates were analyzed; Anal and/or stomal procedures, inguinal and/or femoral hernia procedures, appendectomy. Methods: We used health insurance claims data and the number of patients were 13,845, 2,154 and 7,151 persons respectively. Surgery rates were directly standardized with age and sex and logistic regression was used to analyze surgery rates. Results: Mapping of the surgery rates, there was small area variation in anal and/or stomal procedures. The clinic which was located in more competitive market and chose DRG payment system tends to do more anal and/or stomal procedures. There was no factor except DRG bed rates had effect on rate of inguinal and/or femoral hernia procedures. Conclusions: Findings of this study will contribute to developing investigation method on small area variation and policy to reduce the variation such as developing evidence based medical practice guideline.

Shrinkage Small Area Estimation Using a Semiparametric Mixed Model (준모수혼합모형을 이용한 축소소지역추정)

  • Jeong, Seok-Oh;Choo, Manho;Shin, Key-Il
    • The Korean Journal of Applied Statistics
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    • v.27 no.4
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    • pp.605-617
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    • 2014
  • Small area estimation is a statistical inference method to overcome large variance due to a small sample size allocated in a small area. A shrinkage estimator obtained by minimizing relative error(RE) instead of MSE has been suggested. The estimator takes advantage of good interpretation when the data range is large. A semiparametric estimator is also studied for small area estimation. In this study, we suggest a semiparametric shrinkage small area estimator and compare small area estimators using labor statistics.