• Title/Summary/Keyword: 표본 오차

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On the algorithm of constructing the model-based optimal sample (모형에 기초한 표본추출방법의 알고리듬)

  • 강명욱;김영일
    • The Korean Journal of Applied Statistics
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    • v.10 no.2
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    • pp.253-260
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    • 1997
  • Various algorithms are investigated with respect to finding the best model-based samples according to criteria such as D-optimality and minimum mean square error. These two criteria are slightly different, but related to each other. Therefore, it is not surprising that these two are producing the almost identical samples. Some simple examples follow and critiques are provided along with directions for further research.

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Sample Size Estimation for Risk Assessment and Monitoring Based on Heavy Metal Monitoring Data from Food Items (위해평가 및 모니터링 수행을 위한 표본크기 추정연구: 식품 중 중금속 모니터링 데이터를 중심으로)

  • Kang, Hui Seung;Ko, Ahra;Jeong, Da-Hyun;Ha, Mira;Hwang, Myung-Sil;Hong, Jin-Hwan;Hwang, In Gyun;Yoon, Hae-Jung
    • Journal of Food Hygiene and Safety
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    • v.30 no.2
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    • pp.127-131
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    • 2015
  • This study aimed to calculate the required sample size to monitor food items during risk assessment studies. Based on a data set from a previous study (2,400 data points for heavy metal assessment from 17 food items), the required sample size was estimated by using a single equation with the standard deviation value, error range, and 95%-99% confidence intervals. The required sample size was calculated with each of the heavy metals for the assessment. The results showed that cadmium, lead, and mercury of required sample sizes for further monitoring were range of 7-90, 7-1, 062, and 11-238, respectively. We found that the required sample size varied depending on the standard deviation of the previous monitoring data. This study provides a basic method to determine the minimum sample size required in food monitoring to devise practical sampling strategies.

Subspace-Based Adaptive Beamforming with Off-Diagonal Elements (비 대각요소를 이용한 부공간에서의 적응 빔 형성 기법)

  • Choi Yang-Ho;Eom Jae-Hyuck
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.1A
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    • pp.84-92
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    • 2004
  • Eigenstructure-based adaptive beamfoming has advantages of fast convergence and the insentivity to errors in the arrival angle of the desired signal. Eigen-decomposing the sample matrix to extract a basis for the Sl (signal plus interference) subspace, however, is very computationally expensive. In this paper, we present a simple subspace based beamforming which utilizes off-diagonal elements of the sample matrix to estimate the Sl subspace. The outputs of overlapped subarrays are combined to produce the final adaptive output, which improves SINR (signal-to-interference-plus-noise ratio) comapred to exploiting a single subarray. The proposed adaptive beamformer, which employs an efficient angle estimation is very roubust to errors in both the arrival angles and the number of the incident signals, while the eigenstructure-based beamforer suffers from severe performance degradation.

A Study on the Assessment of Right-tail Prediction Ability of Extreme Distributions using Simulation Experiment (모의 실험을 이용한 Right-tail quantiles의 극치 분포형 비교 평가에 관한 연구)

  • Jung, Jinseok;Kim, Taereem;Song, Hyun-Keun;Heo, Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2016.05a
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    • pp.158-158
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    • 2016
  • 본 연구에서는 극치 분포의 오른쪽 꼬리 부분 예측 시 안정적인 확률수문량 산정하는 확률분포형과 매개변수 추정 방법을 평가하기 위해 Monte Carlo 모의를 수행하였다. 수문자료의 빈도해석에 적합한 것으로 알려진 generalized extreme value (GEV), Gumbel (GUM), generalized logistic (GLO), gamma3 (GAM3), normal (NOR), log-normal3 (LN3) 총 6개의 확률분포형을 바탕으로 오른쪽 꼬리 부분의 확률수문량 추정 성능을 모의 실험을 통해 평가하고자 한다. 30년 이상 자료를 보유한 기상청 지점의 지속기간별 연최대값 자료를 분석한 결과를 바탕으로 모분포를 GEV분포로 선정하였으며 평균이 1.0, 표준편차 0.5, 왜곡도 계수는 0.5, 1.0, 2.0, 3.0, 4.0이 되도록 가정하였다. 또한 자료 길이에 따른 성능 평가를 위해 표본 크기 20, 50, 100, 150, 200개에 대해 분석을 수행하였다. 위와 같은 가정으로 총 25종류(왜곡도계수 5개 ${\times}$ 표본 크기 5개)의 발생된 모분포에 6가지의 확률분포형과 3가지의 매개변수 추정방법(모멘트법, 최우도법, 확률가중모멘트법)을 조합한 18가지의 모델을 비교 분석해보았다. 평가방법으로는 평균 제곱근 오차(Root Mean Square Error, RMSE), 편의(bias), 평균 상대오차(Mean Relative Difference, MRD), 평균 절대 상대오차(Mean Absolute Relative Difference, MARD)를 사용하여 적용 모델의 성능을 비교 분석하였다.

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A Study on the Number of Sample Units for Yield Components (I) (수량구성요소(收量構成要素)를 위(爲)한 표본수(標本數)에 대(對)한 연구(硏究) (제(第)1보(報)))

  • Oh, W.K.;Chang, S.H.;Lee, H.C.
    • Korean Journal of Soil Science and Fertilizer
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    • v.2 no.1
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    • pp.75-78
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    • 1969
  • The necessary number of hills for panicle counts have been obtained, and are more in Kangwon-Do and Chulla Nam-Do where the variability of sampling error is higher as compared to other provinces. It seems that number of samples do not depend on the latitude but on the variabilities of yield components within the province and it is considered that about 5% sampling fraction gives about 75 to 85% of relative information on the average.

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Study of Sample Design for Improving the Method of Distribution of Singing Rooms Royalty (노래연습장 저작권사용료 분배방법 개선을 위한 표본설계연구)

  • Lee, Kay-O;Choi, Jung-Bai
    • Communications for Statistical Applications and Methods
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    • v.16 no.5
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    • pp.763-779
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    • 2009
  • Sample design is studied to estimate the number of records from singing rooms. The definition of survey population, stratification, sample size and allocation of sample are discussed with using the collected real data. The validity of sample design is testified by the log data collected from online singing room which is sampled with suggested design. Estimation of the number of hitting of off-line singing room is proposed and calculated from the log data collected from sampled off-line singing rooms. The difference of online and off-line singing rooms is analyzed and the method of distribution of singing room royalty is suggested.

Stochastic Strength Analysis according to Initial Void Defects in Composite Materials (복합재 초기 공극 결함에 따른 횡하중 강도 확률론적 분석)

  • Seung-Min Ji;Sung-Wook Cho;S.S. Cheon
    • Composites Research
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    • v.37 no.3
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    • pp.179-185
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    • 2024
  • This study quantitatively evaluated and investigated the changes in transverse tensile strength of unidirectional fiber-reinforced composites with initial void defects using a Representative Volume Element (RVE) model. After calculating the appropriate sample size based on margin of error and confidence level for initial void defects, a sample group of 5000 RVE models with initial void defects was generated. Dimensional reduction and density-based clustering analysis were conducted on the sample group to assess similarity, confirming and verifying that the sample group was unbiased. The validated sample analysis results were represented using a Weibull distribution, allowing them to be applied to the reliability analysis of composite structures.

혼합모형의 구간추정을 위한 PROC MIXED의 활용

  • Park, Dong-Jun
    • Proceedings of the Korean Statistical Society Conference
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    • 2005.05a
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    • pp.1-6
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    • 2005
  • SAS의 PROC MIXED는 ANOVA 추정량보다 더 다양한 잔차최대우도추정법 또는 최대우도추정법으로 모수들을 추론할 수 있다. 혼합모형에 속하는 불균형중첩오차구조를 갖는 선형회귀모형에서 랜덤효과에 해당되는 그룹간의 분산과 고정효과에 해당되는 회귀계수들에 대한 신뢰구간을 구하기 위하여 대표본인 경우와 소표본인 경우에 대하여 PROC MIXED를 사용한다. 시뮬레이션을 실행한 결과, 대표본인 경우에는 모수들의 신뢰구간을 구하기 위하여 PROC MIXED를 활용할 수 있지만, 소표본인 경우에는 PROC MIXED를 사용할 경우, 그룹간 분산과 회귀계수 가운데 하나인 절편항에 대한 신뢰구간은 시뮬레이터된 신뢰계수가 명시한 신뢰계수를 지키지 못하는 것을 보인다.

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확률화응답기법을 이용한 모비율의 추정시 층화표본의 최적할당에 관한 연구

  • 최경호;김연형
    • Communications for Statistical Applications and Methods
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    • v.1 no.1
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    • pp.157-164
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    • 1994
  • 본 연구에서는 확률화응답기법을 이용하여 모집단내의 민감집단의 비율을 추정함에 있어 조사의 효율성을 높이기 위한 층화표본의 최적할당방법을 제안한다. 확률화응답기법은 Warner(1965)에 의하여 제안된 방법으로 민감한 사안에 대한 조사시 무응답이나 거짓응답으로 인한 비표본오차를 줄일수 있는 기법으로 간접질문에 의한 조사방법이다. 여기에서 최적할당이란 베이즈위험을 최소로 하는 할당법을 의미하며, 이 과정에서 민감집단의 모비율에 대한 사전분포로는 베타분포를 취하였다.

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