• Title/Summary/Keyword: 표본크기결정

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A Note on the Decision of Sample Size by Relative Standard Error in Successive Occasions (계속조사에서 상대표준오차를 이용한 표본크기 결정에 관한 고찰)

  • Han, GeunShik;Lee, Gi-Sung
    • The Korean Journal of Applied Statistics
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    • v.28 no.3
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    • pp.477-483
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    • 2015
  • This study deals with the decision problem of sample size by the relative standard error of estimates derived from survey results in successive occasions. The population of the construction in business survey results is used to calculate quartile of the relative standard error of the 1,000 sample obtained from simple or stratified random sampling. The sample size at time t with a relative standard error of the point (t-1) in the successive occasions were calculated according to the sampling method. As a result, in terms of the sample size according to the size of the relative standard error of the (t-1), simple random sampling differs significantly from stratified sampling. In addition, we could see differences in sample size (depending on how the population is stratified) and that careful attention is required in the problem of sample size by the relative standard error of estimates derived from survey results in successive occasions.

층화 집락추출시 $m_{opt}$의 결정

  • Sin, Dong-Yun;Sin, Min-Ung;Choe, Gi-Cheol
    • Proceedings of the Korean Statistical Society Conference
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    • 2003.10a
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    • pp.131-135
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    • 2003
  • 표본조사를 하는 경우에 사전에 전체 표본의 크기를 정하여 놓고, 표본설계를 하는 경우가 많다. 이 때에는 조사 비용은 고려의 대상이 안되고 주어진 전체표본 크기로 각 층별로 표본을 할당하여 분산을 최소로 하는 문제가 된다. 이 논문에서는 pps 집락추출과 각 집락에서 같은 크기의 부표본(subsample)을 추출하여 자체 가중이 되도록 표본설계를 하는 경우에 표본의 크기 $m_{0}$가 사전에 주어졌을 때에 모총계의 추정량의 분산을 최소로 하는 최적의 표본추출율을 구하고. 이러한 $m_{0}$값들 중에서 최적의 $m_{opt}$값을 구한다.

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A Study of Sample Size for Two-Stage Cluster Sampling (이단계 집락추출에서의 표본크기에 대한 연구)

  • Song, Jong-Ho;Jea, Hea-Sung;Park, Min-Gue
    • The Korean Journal of Applied Statistics
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    • v.24 no.2
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    • pp.393-400
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    • 2011
  • In a large scale survey, cluster sampling design in which a set of observation units called clusters are selected is often used to satisfy practical restrictions on time and cost. Especially, a two stage cluster sampling design is preferred when a strong intra-class correlation exists among observation units. The sample Primary Sampling Unit(PSU) and Secondary Sampling Unit(SSU) size for a two stage cluster sample is determined by the survey cost and precision of the estimator calculated. For this study, we derive the optimal sample PSU and SSU size when the population SSU size across the PSU are di erent by extending the result obtained under the assumption that all PSU have the same number of SSU. The results on the sample size are then applied to the $4^{th}$ Korea Hospital Discharge results and is compared to the conventional method. We also propose the optimal sample SSU (discharged patients) size for the $7^{th}$ Korea Hospital Discharge Survey.

Study on Optimal Sample Size for Bivariate Frequency Anlaysis using POT (POT 방법을 이용한 이변량 빈도해석 적정 표본크기 연구)

  • Joo, Kyungwon;Joo, Kyungwon;Joo, Kyungwon;Heo, Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2015.05a
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    • pp.38-38
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    • 2015
  • 최근 다변량 확률모형을 이용한 빈도해석이 여러 수문분야에 걸쳐 연구되고 있다. 기존 일변량 빈도해석에 비해 변수활용에 대한 자유도와 물리적 현상을 정확하게 표현할 수 있다는 장점이 있으나, 표본자료의 부족, 매개변수 추정 및 적합도 검정 등의 어려움으로 실제 분야에 사용되기 어려운 점이 있다. 본 연구에서는 copula 모형에 대하여 Cramer-von Mises(CVM) 적합도 검정 시 표본자료의 적정 크기를 결정하기 위하여 Peaks-Over-Threshold(POT) 방법을 이용하였다. 서울지점의 기상청 시강우 자료를 이용하여 빈도해석을 수행하였으며, Gumbel copula 모형에 대하여 매개변수 추정은 maximum pseudolikelihood method(MPL) 방법을 이용하였다. 50년의 기록 자료에 대하여 표본크기를 50개부터 2500개까지 조절하여 CVM 통계값과 p-value를 기준으로 적정 표본크기를 산정하였다.

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An implementation of sample size and power calculations in testing differences of normal means (정규 모집단의 모평균 차이 검정에서 표본크기와 검정력 계산의 구현)

  • Sim, Songyong;Choi, Kyuhyeok
    • Journal of the Korean Data and Information Science Society
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    • v.24 no.3
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    • pp.477-485
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    • 2013
  • In this paper, we consider the sample sizes required for each group in independent two sample test of normal populations when both the type I error and type II error probabilities are specified with sample sizes and variances being possibly different. We derived the sample sizes and the power of the tests, and implement them by web programing. The result is available over the world wide web. Further, we also provide the power calculations and have them available on the web.

Determination of Size and Number of Sampling Units for Spike Count in Wheat (소맥의 수수조사를 위한 표본단위의 크기와 표본수 결정)

  • 장석환;하용웅
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.26 no.4
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    • pp.293-297
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    • 1981
  • An attempt has been made to determine the optimum size of sampling unit and the number of samples for a given precision in wheat, using the data collected from the various experiments in 1979/80. It was found that the coefficients of variation for number of spikes except the case of high-ridge broadcasting by 8HP rotarized seeder are in the same order of those for yield of wheat, and the regression coefficients associated with the coefficients of variation and the size of sampling unit were significant at 1% level of type I error. A wide range of variation in the size of sampling unit was observed for different methods of seeding, indicating the proper sizes of sampling units for 40cm \times 18cm, 60cm \times 18cm, 20cm \times 5cm, 120cm \times 90cm to be 0.40$m^2$, 0.17$m^2$, , 0.11$m^2$, , 0.55$m^2$, , respectively. The variance component for the experimental error was not physically possible to estimate due probably to high variability among the sampling units. The number of the sampling units per plot for a given precision of CV=12% was estimated to be one in an experiment with 4 replicates.

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Probability Sampling to Select Polling Places in Exit Poll (출구조사를 위한 투표소 확률추출 방법)

  • Kim, Young-Won;Uhm, Yoon-Hee
    • Survey Research
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    • v.6 no.2
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    • pp.1-32
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    • 2005
  • The accuracy of exit poll mainly depends on the sampling method of voting places. For exit poll, we propose a probability sampling method of selecting voting places as an alternative to the bellwether polling place sampling. Through an empirical study based on the 2004 general election data, the efficiency of the suggested systematic sampling from ordered voting places was evaluated in terms of mean prediction error and it turns out that the proposed sampling method outperformed the bellwether polling places sampling. We also calculated the variance of estimator from the proposed sampling, and considered the sample size problem to guarantee the target precision using the design effect of the proposed sample design.

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An Application of Sampling to Determine a Proper Rate of Probe Vehicles for Macroscopic Traffic Flow Monitoring Indices (거시교통류 모니터링 지표산출을 위한 적정 프로브차량 비율 결정에 관한 연구)

  • Shim, Jung-Suk;Heo, Hyun-Moo;Eom, Ki-Jong;Lee, Chung-Won;Ahn, Su-Han
    • The Journal of The Korea Institute of Intelligent Transport Systems
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    • v.9 no.2
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    • pp.33-40
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    • 2010
  • In this paper, we consider three macroscopic traffic flow monitoring indices, Travel Time Index(TTI), Acceleration Noise(AN) and Two Fluid(TF) and investigate how to determine a proper rate of probe cars for producing reliable values of these indices. For the analysis, we use classical sampling theories and provide numbers of probe rates using simulation data.

A Study on the Decision of Sample Size for Panel Survey Design (패널조사 표본설계 시 표본크기 결정에 관한 연구)

  • Yoo, Yang-Sang;Shin, Key-Il
    • The Korean Journal of Applied Statistics
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    • v.24 no.1
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    • pp.25-34
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    • 2011
  • The transition probability can be used for the estimation of subpopulation total in panel data analysis. In this paper a real data analysis is performed and the sensitivity of the sample size allocated in the subpopulation is examined by small simulation studies.

다차원 층화에서 선형계획법을 이용한 표본배정 방법

  • Choe, Jae-Hyeok;NamGung, Pyeong
    • Proceedings of the Korean Statistical Society Conference
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    • 2005.11a
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    • pp.91-96
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    • 2005
  • 다차원층화에서 선형계획법을 이용한 표본배정 방법은 Winkler(1990, 2001), Sitter와 Skinner(1994, 2002)가 제안하였다. 이 방법들은 표본크기가 층 개수보다 크지 않는 경우에 공통적으로 선형계획법을 이용하여 표본배정을 실시하였다. 반복 비율 적합방법(IPF), 일반화 반복 비율 적합(GIFP), SS 방법을 통해 셀 값을 결정하고 선형계획법을 이용하여 표본의 배정확률을 통해 표본배정을 실시한다. 이 3가지 방법들로 표본을 배정하고 평균 및 분산추정량을 비교한다.

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