• Title/Summary/Keyword: statistical theory

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Development of an Item Selection Method for Test-Construction by using a Relationship Structure among Abilities

  • Kim, Sung-Ho;Jeong, Mi-Sook;Kim, Jung-Ran
    • Communications for Statistical Applications and Methods
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    • v.8 no.1
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    • pp.193-207
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    • 2001
  • When designing a test set, we need to consider constraints on items that are deemed important by item developers or test specialists. The constraints are essentially on the components of the test domain or abilities relevant to a given test set. And so if the test domain could be represented in a more refined form, test construction would be made in a more efficient way. We assume that relationships among task abilities are representable by a causal model and that the item response theory (IRT) is not fully available for them. In such a case we can not apply traditional item selection methods that are based on the IRT. In this paper, we use entropy as an uncertainty measure for making inferences on task abilities and developed an optimal item selection algorithm which reduces most the entropy of task abilities when items are selected from an item pool.

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Robust inference with order constraint in microarray study

  • Kang, Joonsung
    • Communications for Statistical Applications and Methods
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    • v.25 no.5
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    • pp.559-568
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    • 2018
  • Gene classification can involve complex order-restricted inference. Examining gene expression pattern across groups with order-restriction makes standard statistical inference ineffective and thus, requires different methods. For this problem, Roy's union-intersection principle has some merit. The M-estimator adjusting for outlier arrays in a microarray study produces a robust test statistic with distribution-insensitive clustering of genes. The M-estimator in conjunction with a union-intersection principle provides a nonstandard robust procedure. By exact permutation distribution theory, a conditionally distribution-free test based on the proposed test statistic generates corresponding p-values in a small sample size setup. We apply a false discovery rate (FDR) as a multiple testing procedure to p-values in simulated data and real microarray data. FDR procedure for proposed test statistics controls the FDR at all levels of ${\alpha}$ and ${\pi}_0$ (the proportion of true null); however, the FDR procedure for test statistics based upon normal theory (ANOVA) fails to control FDR.

Wave Transmission Analysis of Semi-infinite Mindlin Plates Coupled at an Arbitrary Angle (임의의 각으로 연성된 반무한 Mindlin 판의 파동전달해석)

  • Park, Young-Ho
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.24 no.12
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    • pp.999-1006
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    • 2014
  • Mindlin plate theory includes the shear deformation and rotatory inertia effects which cannot be negligible as exciting frequency increases. The statistical methods such as energy flow analysis(EFA) and statistical energy analysis(SEA) are very useful for estimation of structure-borne sound of various built-up structures. For the reliable vibrational analysis of built-up structures at high frequencies, the energy transfer relationship between out-of-plane waves and in-plane waves exist in Mindlin plates coupled at arbitrary angles must be derived. In this paper, the new wave transmission analysis is successfully performed for various energy analyses of Mindlin plates coupled at arbitrary angles.

韓國統計의 現況과 將來 - 統計理論

  • 백운붕
    • Journal of the Korean Statistical Society
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    • v.10
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    • pp.9-13
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    • 1981
  • 주어진 제목이 '통계이론'으로 되어 있으나 이것을 '이론통계학'이라고 바꾸어 말할 수도 있을 것이다. 그러나 이렇게 되면 Cox와 Hinkley의 "Theoretical Statistics (1974)"가 연상되어 통계학의 이론적인 기초인 Likelihood, Sufficient statistics 등의 개념과 더불어 Statistical inference, Asymptotic theory, Decision theory 등 소위 순수이론통계학을 대상으로 하는 것같이 느끼게 된다. 그런데 여기에 주어진 제목이 이러한 협의의 이론통계학에 대한 현황과 장래를 논의하는 것이라고 생각할 수는 없다. 더구나 다른 사람들에게 주어진 논제들을 살펴볼때 응용을 직접 목적으로 하는 방법론이 아닌 광의의 통계이론 또는 협의의 수리통계학이라고 해석함이 옳을 것 같다. 그러므로 이러한 의미에서 통계이론과 이론통계학을 같은 차원의 넓은 의미로 사용하기로 한다. 그러면 구체적으로 어떠한 통계이론을 대상으로 하여 이것이 한국에서의 통계이론의 현황을 나타내는 것이라고 말할 수 있을 것인가\ulcorner 이것은 쉬운 일이 아니다. 그러나 이러한 문제를 생각하지 않을 수 없다.지 않을 수 없다.

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The Study on Application of Data Gathering for the site and Statistical analysis process (초기 데이터 분석 로드맵을 적용한 사례 연구)

  • Choi, Eun-Hyang;Ree, Sang-Bok
    • Proceedings of the Korean Society for Quality Management Conference
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    • 2010.04a
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    • pp.226-234
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    • 2010
  • In this thesis, we present process that remove mistake of data before statistical analysis. If field data which is not simple examination about validity of data, we cannot believe analyzed statistics information. As statistical analysis information is produced based on data to be input in statistical analysis process, the data to be input should be free of error. In this paper, we study the application of statistical analysis road map that can enhance application on site by organizing basic theory and approaching on initial data exploratory phase, essential step before conducting statistical analysis. Therefore, access to statistical analysis can be enhanced and reliability on result of analysis can be secured by conducting correct statistical analysis.

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Patterns of Data Analysis\ulcorner

  • Unwin, Antony
    • Journal of the Korean Statistical Society
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    • v.30 no.2
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    • pp.219-230
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    • 2001
  • How do you carry out data analysis\ulcorner There are few texts and little theory. One approach could be to use a pattern language, an idea which has been successful in field as diverse as town planning and software engineering. Patterns for data analysis are defined and discussed, illustrated with examples.

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On the Moving Average Models with Multivariate geometric Distributions

  • Baek, Jong-ill
    • Communications for Statistical Applications and Methods
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    • v.6 no.3
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    • pp.677-686
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    • 1999
  • In this paper we introduce a class of moving-average(MA) sequences of multivariate random vectors with geometric marginals. The theory of positive dependence is used to show that in various cases the class of MA sequences consists of associated random variables. We utilize positive dependence properties to obtain weakly probability inequality of the multivariate processes.

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統計職業敎育에 관한 調査硏究

  • Paik, U.B.;Jhang, I.S.
    • Journal of the Korean Statistical Society
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    • v.1 no.1
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    • pp.66-78
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    • 1973
  • In Korea, the statistical system is very weak because it is not functional. Knowledge of statistical theory remains iosolated from applications: routine tasks of collection or processing of data are continued often without utilization, and programms are started in a superficial imitation of other without any purpose. It is essential, in Korea, to make statistics purposive. The only way is to give training statistics-fully developed technology of a multi-discipline character in applied statistics. The purpose of this study is primarily to survey the necessity of, or desire for, statistical tarining for the statistical personnel of the government agencies or bank offices in Seoul, Korea and discuss an adequate method of vacational training in statistics. This survey can be summarized as follows : (1) about 94 percent of the sampled people (478) do not consider their present statistical background adequately trained and 128 persons out of 478 request a graduate level training in respective fields. (2) The statistical fields on job in the sample are : Economic statistics : 138, Sampling survey : 228, management statistics : 50, other fields : 62. (3) Educational background are * College graduate : 369 (male 347, female 22) Economics 99, Business administration 99, Law 71, Mathematics and statistics 24, Others 76 * High school graduate : 109 (male 43, female 66)

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Watermark Detection Algorithm Using Statistical Decision Theory (통계적 판단 이론을 이용한 워터마크 검출 알고리즘)

  • 권성근;김병주;이석환;권기구;권기용;이건일
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.40 no.1
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    • pp.39-49
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    • 2003
  • Watermark detection has a crucial role in copyright protection of and authentication for multimedia and has classically been tackled by means of correlation-based algorithms. Nevertheless, when watermark embedding does not obey an additive rule, correlation-based detection is not the optimum choice. So a new detection algorithm is proposed which is optimum for non-additive watermark embedding. By relying on statistical decision theory, the proposed method is derived according to the Bayes decision theory, Neyman-Pearson criterion, and distribution of wavelet coefficients, thus permitting to minimize the missed detection probability subject to a given false detection probability. The superiority of the proposed method has been tested from a robustness perspective. The results confirm the superiority of the proposed technique over classical correlation- based method.

Kirkwood-Buff Solution Theory (커크우드-버프 용액 이론)

  • Lim, Kyung-Hee
    • Journal of the Korean Applied Science and Technology
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    • v.27 no.4
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    • pp.452-460
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    • 2010
  • Any theory of liquid should account for interactions between molecules, since molecules in a liquid are close to each other. For this matter statistical-mechanical methodology has been used and various models have been proposed on the basis of this methodology. Among them Kirkwood-Buff solution theory has attracted a lot of interest, because it is regarded as being the most powerful. In this article Kirkwood-Buff solution theory is revisited and its key equations are derived. On the way to these equations, the concepts of pair correlation function, radial distribution function, Kirkwood-Buff integration are explained and implemented. Since complexity of statical mechanics involved in this theory, the equations are applied to one-component systems and the results are compared to those obtained by classical thermodynamics. This may be a simple way for Kirkwood-Buff solution theory to be examined for its validity.