• Title/Summary/Keyword: Order Statistics

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On statistical methods used in medical research (의학연구논문에서 통계적 기법의 활용)

  • Choi, Young-Woong;Kang, Kee-Hoon
    • Journal of the Korean Data and Information Science Society
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    • v.20 no.2
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    • pp.357-367
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    • 2009
  • According to the development of modern medical science, one can find many other related researches in various fields. In order to get correct research results, research design, research process and analysis of results should be done in objective and reasonable manner. Therefore, various statistical analysis approaches are widely used. In this paper, we investigate the usage of statistical methods in research papers published in four medical journals between 2004 and 2007.

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An Example of Participatory Statistics Class Using Excel Macro (엑셀 매크로(MACRO) 기능을 이용한 통계학 참여수업의 예)

  • Lee, Joung-Yong
    • The Korean Journal of Applied Statistics
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    • v.21 no.2
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    • pp.355-359
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    • 2008
  • In order to make students more interesting in statistics class, a small visual basic program is introduced. This program, which can be executed through the Excel Macro, can immediately collect many individual questionnaire files that were filled up by participatory students and consolidate into one Excel worksheet.

Hanwoo(Korean Cattle) Traceability Using DNA Markers

  • Yeo, Jung-Sou;Rhee, Sung-Won;Choi, Yu-Mi;Kwon, Jae-Chul;Lee, Jea-Young
    • Communications for Statistical Applications and Methods
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    • v.13 no.3
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    • pp.733-743
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    • 2006
  • To apply and evaluate the effectiveness of genetic markers on Hanwoo traceability systems, samples of 33 Hanwoo individuals from Korean elite sire families were used, and five microsatellite markers were selected finally, which were located on chromosomes different chromosomes with the end sequencing of 100 HW-YUBAC that were recorded in the NCBI by Yeungnam University. Ten major microsatellite markers were selected from alleles amplified, their frequencies, H(Heterozygosity) and PIC(Polymorphism information content) with Hardy-Weinberg equilibrium. Next, in order to evaluate the power of the markers selected on the individual animal identification, the match probability(MP) and the relatedness coefficient(R) were computed.

Visualizations of Asymmetric Multidimensional Scaling (비대칭 다차원척도법의 시각화)

  • Lee, Su-Gi;Choi, Yong-Seok;Lee, Bo-Hui
    • The Korean Journal of Applied Statistics
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    • v.27 no.4
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    • pp.619-627
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    • 2014
  • Distances or dissimilarities among units are assumed to be symmetric in most cases of multidimensional scaling(MDS); consequently, it is not an easy task to deal with asymmetric distances. Current asymmetric MDS still face difficulties in the interpretation of results. This study proposes a simpler asymmetric MDS that utilizes the order statistic of an asymmetric matrix. The proposed Web method demonstrates that some influences among objects are visualized by direction, size and shape of arrow to ease the interpretability of users.

Quantile Estimation in Successive Sampling

  • Singh, Housila P.;Tailor, Ritesh;Singh, Sarjinder;Kim, Jong-Min
    • Proceedings of the Korean Association for Survey Research Conference
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    • 2006.12a
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    • pp.67-83
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    • 2006
  • In successive sampling on two occasions the problem of estimating a finite population quantile has been considered. The theory developed aims at providing the optimum estimates by combining (i) three double sampling estimators viz. ratio-type, product-type and regression-type, from the matched portion of the sample and (ii) a simple quantile based on a random sample from the unmatched portion of the sample on the second occasion. The approximate variance formulae of the suggested estimators have been obtained. Optimal matching fraction is discussed. A simulation study is carried out in order to compare the three estimators and direct estimator. It is found that the performance of the regression-type estimator is the best among all the estimators discussed here.

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A Study on Small Composite Designs for Fitting Second Order Response Surface Models (2차 반응표면분석 모델 적합을 위한 부분합성계획에 관한 연구)

  • Park, Sung-Hyun;Seo. Hyeok;Park, Jun-Oh
    • The Korean Journal of Applied Statistics
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    • v.12 no.1
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    • pp.67-81
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    • 1999
  • 2차 반응표면분석을 위한 부분합성계획은 실험 비용이 많이 들거나, 실험 자체가 어려워서 시간의 소비자 많은 경우, 실험오차의 독립추정이 가능할 때 효과적이다. 반응표면분석에서는 회전성과 기울기 회전성을 만족하는 것이 중요하다. 따라서 본 논문에서는 회전성과 기울기 회전성의 관점에서 부분합성계획을 살펴보고 또한 인자의 수와 중심점의 수가 변함에 따라서 어떤 $\alpha$(중심에서 축점까지의 거리)의 값이 최적의 실험계획이 되도록 하는지를 연구하였다.

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Construction of DNA marker for traceability in Hanwoo

  • Kwon, Jae-Chul;Choi, Yu-Mi;Rhee, Sung-Won;Yeo, Jung-Sou;Lee, Jea-Young
    • 한국데이터정보과학회:학술대회논문집
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    • 2006.04a
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    • pp.213-219
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    • 2006
  • Considering all the factors involved in beef production individual identification using DNA marker testing is the most appropriate solution to give all the breeders' information to the consumers. After taking into account the genealogical information from the Hanwoo, only animals that did not share some parent or grandparent were analysed 33 from the 305 initially sampled. Ten major microsatellite markers were selected from allele amplified and their frequencies, H(Heterozygosity) and PIC(Polymorphism information content) with Hardy-Weinberg equilibrium. Next, in order to evaluate the power of the markers selected on the individual animal identification, the match probability(MP) and the relatedness coefficient(R) were computed.

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Nonparametric confidence intervals for quantiles based on a modified ranked set sampling

  • Morabbi, Hakime;Razmkhah, Mostafa;Ahmadi, Jafar
    • Communications for Statistical Applications and Methods
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    • v.23 no.2
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    • pp.119-129
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    • 2016
  • A new sampling method is introduced based on the idea of a ranked set sampling scheme in which taken samples in each set are dependent on previous ones. Some theoretical results are presented and distribution-free confidence intervals are derived for the quantiles of any continuous population. It is shown numerically that the proposed sampling scheme may lead to 95% confidence intervals (especially for extreme quantiles) that cannot be found based on the ordinary ranked set sampling scheme presented by Chen (2000) and Balakrishnan and Li (2006). Optimality aspects of this scheme are investigated for both coverage probability and minimum expected length criteria. A real data set is also used to illustrate the proposed procedure. Conclusions are eventually stated.

QUANTILE ESTIMATION IN SUCCESSIVE SAMPLING

  • Singh, Housila P.;Tailor, Ritesh;Singh, Sarjinder;Kim, Jong-Min
    • Journal of the Korean Statistical Society
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    • v.36 no.4
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    • pp.543-556
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    • 2007
  • In successive sampling on two occasions the problem of estimating a finite population quantile has been considered. The theory developed aims at providing the optimum estimates by combining (i) three double sampling estimators viz. ratio-type, product-type and regression-type, from the matched portion of the sample and (ii) a simple quantile based on a random sample from the unmatched portion of the sample on the second occasion. The approximate variance formulae of the suggested estimators have been obtained. Optimal matching fraction is discussed. A simulation study is carried out in order to compare the three estimators and direct estimator. It is found that the performance of the regression-type estimator is the best among all the estimators discussed here.

The transmuted GEV distribution: properties and application

  • Otiniano, Cira E.G.;de Paiva, Bianca S.;Neto, Daniele S.B. Martins
    • Communications for Statistical Applications and Methods
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    • v.26 no.3
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    • pp.239-259
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    • 2019
  • The transmuted generalized extreme value (TGEV) distribution was first introduced by Aryal and Tsokos (Nonlinear Analysis: Theory, Methods & Applications, 71, 401-407, 2009) and applied by Nascimento et al. (Hacettepe Journal of Mathematics and Statistics, 45, 1847-1864, 2016). However, they did not give explicit expressions for all the moments, tail behaviour, quantiles, survival and risk functions and order statistics. The TGEV distribution is a more flexible model than the simple GEV distribution to model extreme or rare events because the right tail of the TGEV is heavier than the GEV. In addition the TGEV distribution can adjusted various forms of asymmetry. In this article, explicit expressions for these measures of the TGEV are obtained. The tail behavior and the survival and risk functions were determined for positive gamma, the moments for nonzero gamma and the moment generating function for zero gamma. The performance of the maximum likelihood estimators (MLEs) of the TGEV parameters were tested through a series of Monte Carlo simulation experiments. In addition, the model was used to fit three real data sets related to financial returns.