• Title/Summary/Keyword: Representative sample

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Representative of Sample and Efficiency of Estimation (표본의 대표성과 추정의 효율성)

  • Kim, Kyu-Seong
    • Survey Research
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    • v.6 no.1
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    • pp.39-62
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    • 2005
  • In this paper we investigate some concepts frequently called in sample surveys such as 'representative of sample' as well as 'consistency', 'unbiasedness', and 'efficiency' in estimation. The first is strongly related with sampling procedure including coverage rate of survey population, response rate in establishment survey, and recruit rate of final samples. The others, however, are concerned with both sampling design and corresponding estimators simultaneously. Whereas both consistency and unbiasedness are based on the representative sample, efficiency does not depend on the representative sample. The representative of sample can be increased by raising the rate of coverage, response and recruit as well. Consistency may be investigated according to variables of interest and auxiliary variables. The well-known raing-ratio weighting method is a method to increase consistency of auxiliary variables by means of matching population size in each cell. Efficiency is not directly related with the representative of sample, and allocation methods such as proportional and Neyman allocation in stratified sampling and post-stratification are all methods to increase the efficiency of estimation under the condition of satisfying the representative of sample.

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Usage and Estimation of R-indicator for Representative (대표성을 위한 R-indicator의 사용과 추정법 연구)

  • Park, Hyeonah;Lee, Kee-Jae
    • The Korean Journal of Applied Statistics
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    • v.28 no.3
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    • pp.417-427
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    • 2015
  • Measures in response rate used to measure the representativeness of the sample (the more high response rate) better explain the representativeness of the sample. However, we cannot often explain the representativeness of the sample because there is nonresponse even in the high response rate. Therefore, Schouten et al. (2009) presented a new R-indicator measure that can be described as a representative of the sample. We research the new estimator of the R-indicator in this paper because there are parameters that require estimations. We describe the meanings as representative of the R-indicator; consequently, the bias and efficiency of the proposed estimator for R-indicator are compared to the existing estimator under various simulations. The representativeness of the sample is also explained by applying the proposed estimators in the actual data.

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.

Development of a Representative Model for Different Body Shapes of 18-24 Aged Women - An Application of a 3D Morphing Technique - (3차원 모핑기법에 의한 18-24세 여성의 체형별 대표 형상 도출을 위한 연구)

  • Shin, Ju-Young;Choi, Young-Lim;Nam, Yun-Ja
    • Fashion & Textile Research Journal
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    • v.13 no.4
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    • pp.590-599
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    • 2011
  • The purpose of this study is to classify body types into different groups based on 3D scanned data, and identify the representative body shapes that most frequently appear in the groups. A high frequency range was defined based on body measurement data, and representative shapes were identified based on body scan data of women aged 18-24. The major findings of this study are as follows. First, the three typical types of height, bust and drop mixes among Korean women aged 18-24 are as follows:) 155-88-N,) 160-82-A, and 165-85-A. Regarding the body type, the A and N types frequently appeared, while the H type was rare. Second, among the subjects of the high-frequency groups, upright bodies were selected as sample models and were used for morphing. An adjustment was made to the morphing results to reflect the body characteristics of the sample models evenly. Third, to verify the morphing results, the body sizes of the sample models and the created models were compared. The result showed that, the sizes were close to the average size of the sample models. Fourth, to verify whether the morphing processes adequately reflected the features of the body shapes, cross-section models of key body parts were made and the degree of representativeness was determined.

Numerical and statistical analysis of permeability of concrete as a random heterogeneous composite

  • Zhou, Chunsheng;Li, Kefei
    • Computers and Concrete
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    • v.7 no.5
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    • pp.469-482
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    • 2010
  • This paper investigates the concrete permeability through a numerical and statistical approach. Concrete is considered as a random heterogeneous composite of three phases: aggregates, interfacial transition zones (ITZ) and matrix. The paper begins with some classical bound and estimate theories applied to concrete permeability and the influence of ITZ on these bound and estimate values is discussed. Numerical samples for permeability analysis are established through random aggregate structure (RAS) scheme, each numerical sample containing randomly distributed aggregates coated with ITZ and dispersed in a homogeneous matrix. The volumetric fraction of aggregates is fixed and the size distribution of aggregates observes Fuller's curve. Then finite element method is used to solve the steady permeation problem on 2D numerical samples and the overall permeability is deduced from flux-pressure relation. The impact of ITZ on overall permeability is analyzed in terms of ITZ width and contrast ratio between ITZ and matrix permeabilities. Hereafter, 3680 samples are generated for 23 sample sizes and 4 contrast ratios, and statistical analysis is performed on the permeability dispersion in terms of sample size and ITZ characteristics. By sample theory, the size of representative volume element (RVE) for permeability is then quantified considering sample realization number and expected error. Concluding remarks are provided for the impact of ITZ on concrete permeability and its statistical characteristics.

A summary-concept based analysis on the representative values and the measures of spread with the 9th grade Korean mathematics textbook (중학교 3학년 수학교과서 통계단원에 나타난 요약개념 분석)

  • Lee, Young-Ha;Lee, Eun-Hee
    • The Mathematical Education
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    • v.50 no.4
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    • pp.489-505
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    • 2011
  • This study is an analysis on the focus of textbooks regarding the statistical chapters of "measures of representative(central tendency) and of the spread". Applying the summary-concept criteria of Juhyeon Nam(2007), 4 kinds of aspect of the chapter; (1) definition and its teleological validity of the measures of representative, (2) definition and practical value of the measures of spread (3) distributional form on the measures of representative and of spread (4) location and scale preservation or invariance of the measures of representative and of spread were observed. On the measures of representative, some definitions were insufficient to check the teleological validity of the measure. Most definitions of the measure of spread were based on the practical view points but no preparation for the future statistical inferences were found even by implication. Some books mention about the measures of representative and of spread for distributions, but we could not find any comments on the correspondence between the sample mean and the expectation of a distribution or population mean. However it is stimulant that some books check the validity of corresponding measures with the location and scale preservation or invariant property, that were not found in the previous curriculum.

Data Base Construction of Representative Practical Colors of Domestic Fashion Industry in Korea (국내 패션업계에서 활용되는 대표색의 Color Data Base 구현)

  • Choo Sunhyung;Cho Ju-Yeon;Kim Youngin
    • Journal of the Korean Society of Costume
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    • v.55 no.8 s.99
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    • pp.144-153
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    • 2005
  • The purpose of this study is to make a Web Color Data Base for practical design system for domestic fashion industry. The market segmentation was based on the results of the previous studies and the characteristics of fashion consumers. Finally, the 14,121 color samples are collected from the survey of 55 manufacturers of domestic fashion industry and 116 fashion brands of major department stores. These color samples are analyzed by the Munsell's H V/C and CIE L*a*b* value. The representative colors are selected concerning the density in CIE L*a*b* color space and the distance between the color samples. As a result, We suggested 2213 representative colors. Also, this color data was constructed on Web site. The data were sorted by the market, season and color code. In addition, the representative color sample book was made for the prototype of .

Experimental Verification on Factors Affecting Core Resistivity Measurements (II)-Characteristics of Time Series Data and Determination Method of Resistivity (코어비저항 측정에 미치는 영향요소에 대한 실험적 고찰(Ⅱ) - 시계열자료의 특성과 대표비저항 값의 결정)

  • Kim, Yeong Hwa;Choe, Ye Gwon
    • Journal of the Korean Geophysical Society
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    • v.2 no.4
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    • pp.269-276
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    • 1999
  • As a part of trying to get the resistivity values correctly from laboratory core resistivity measurement, the effect of sample holders in resistivity measurement was analyzed and a better way to determine the representative resistivity value from the time series resistivity data was searched. Modified GS type and modified two-electrode type sample holders were devised and their effects have been compared with those of GS and two-electrode type sample holders. The modified two-electrode type sample holder has benefits both in repetition and simplicity in data acquisition. The analysis of distribution trend of the time series resistivity data obtained with different kind of sample holders and source frequencies shows that the maximum curvature point method gives the best result in determining representative resistivity value.

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Practical Advantage of Systematic Sampling to Attain a Representative Sample (표본의 대표성 확보를 위한 계통표집법의 활용)

  • 박진우;김영원
    • Proceedings of the Korean Association for Survey Research Conference
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    • 2001.04a
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    • pp.153-165
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    • 2001
  • In this paper we point out another advantage of systematic sampling over simple random sampling, which have not yet been spelled out in the literature. After a single sample is drawn by a sampling scheme, it is important to check whether the achieved sample represents the pupulation well or out. Therefore, a sampling scheme which avoids the possibility of selecting non-preferred samples is desirable. The simulation results are given to illustrate that, in the ordered population, the possibility of selecting non-preferred sample by systematic sampling is lower than that by simple random sampling.

Practical Advantage of Systematic Sampling to Attain a Representative Sample (표본의 대표성 확보틀 위한 계통표집법의 활용)

  • 박진우;김영원
    • Survey Research
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    • v.2 no.2
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    • pp.153-165
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    • 2001
  • In this paper we point out another advantage of systematic sampling over simple random sampling, which have not yet been spelled out in the literature. After a single sample is drawn by a sampling scheme, it is important to check whether the achived sample represents the population well or not. Therefore. a sampling scheme which avoids the possibility of selecting non-preferred samples is desirable. The simulation results are given to illustrate that, in the ordered population, the possibility of selecting non-preferred sample by systematic sampling is lower than that by simple random sampling.

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