• 제목/요약/키워드: discrete data

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Application of discrete Weibull regression model with multiple imputation

  • Yoo, Hanna
    • Communications for Statistical Applications and Methods
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    • 제26권3호
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    • pp.325-336
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    • 2019
  • In this article we extend the discrete Weibull regression model in the presence of missing data. Discrete Weibull regression models can be adapted to various type of dispersion data however, it is not widely used. Recently Yoo (Journal of the Korean Data and Information Science Society, 30, 11-22, 2019) adapted the discrete Weibull regression model using single imputation. We extend their studies by using multiple imputation also with several various settings and compare the results. The purpose of this study is to address the merit of using multiple imputation in the presence of missing data in discrete count data. We analyzed the seventh Korean National Health and Nutrition Examination Survey (KNHANES VII), from 2016 to assess the factors influencing the variable, 1 month hospital stay, and we compared the results using discrete Weibull regression model with those of Poisson, negative Binomial and zero-inflated Poisson regression models, which are widely used in count data analyses. The results showed that the discrete Weibull regression model using multiple imputation provided the best fit. We also performed simulation studies to show the accuracy of the discrete Weibull regression using multiple imputation given both under- and over-dispersed distribution, as well as varying missing rates and sample size. Sensitivity analysis showed the influence of mis-specification and the robustness of the discrete Weibull model. Using imputation with discrete Weibull regression to analyze discrete data will increase explanatory power and is widely applicable to various types of dispersion data with a unified model.

Modeling clustered count data with discrete weibull regression model

  • Yoo, Hanna
    • Communications for Statistical Applications and Methods
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    • 제29권4호
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    • pp.413-420
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    • 2022
  • In this study we adapt discrete weibull regression model for clustered count data. Discrete weibull regression model has an attractive feature that it can handle both under and over dispersion data. We analyzed the eighth Korean National Health and Nutrition Examination Survey (KNHANES VIII) from 2019 to assess the factors influencing the 1 month outpatient stay in 17 different regions. We compared the results using clustered discrete Weibull regression model with those of Poisson, negative binomial, generalized Poisson and Conway-maxwell Poisson regression models, which are widely used in count data analyses. The results show that the clustered discrete Weibull regression model using random intercept model gives the best fit. Simulation study is also held to investigate the performance of the clustered discrete weibull model under various dispersion setting and zero inflated probabilities. In this paper it is shown that using a random effect with discrete Weibull regression can flexibly model count data with various dispersion without the risk of making wrong assumptions about the data dispersion.

Combining Independent Permutation p Values Associated with Mann-Whitney Test Data

  • Um, Yonghwan
    • 한국컴퓨터정보학회논문지
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    • 제23권7호
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    • pp.99-104
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    • 2018
  • In this paper, we compare Fisher's continuous method with an exact discrete analog of Fisher's continuous method from permutation tests for combining p values. The discrete analog of Fisher's continuous method is known to be adequate for combining independent p values from discrete probability distributions. Also permutation tests are widely used as alternatives to conventional parametric tests since these tests are distribution-free, and yield discrete probability distributions and exact p values. In this paper, we obtain permutation p values from discrete probability distributions using Mann-Whitney test data sets (real data and hypothetical data) and combine p values by the exact discrete analog of Fisher's continuous method.

Randomized Response Model with Discrete Quantitative Attribute by Three-Stage Cluster Sampling

  • Lee, Gi-Sung;Hong, Ki-Hak
    • Journal of the Korean Data and Information Science Society
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    • 제14권4호
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    • pp.1067-1082
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    • 2003
  • In this paper, we propose a randomized response model with discrete quantitative attribute by three-stage cluster sampling for obtaining discrete quantitative data by using the Liu & Chow model(1976), when the population was made up of sensitive discrete quantitative clusters. We obtain the minimum variance by calculating the optimum number of fsu, ssu, tsu under the some given constant cost. And we obtain the minimum cost under the some given accuracy.

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제7차 교육과정의 이산수학 교수-학습에 관한 연구 (A Study on the Teaching and Learning of Discrete Mathematics in the 7th Mathematics Curriculum)

  • 김남희
    • 대한수학교육학회지:학교수학
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    • 제7권1호
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    • pp.77-101
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    • 2005
  • NCTM에서 9-12학년 교육과정의 규준으로 설정한 바 있는 이산수학은 우리나라 f17차 수학과 교육과정에서 과목 선택형 교육과정으로 운영되고 있는 교과이다. 본 논문에서는 이산수학의 교수-학습방법을 논의의 대상으로 하여 학교수학에서 이산수학 학습의 중요성에 관한 최근의 논의들을 종합, 정리하고 제7차 교육과정에서의 이산수학 지도내용과 교수-학습방법을 분석하였다. 또한 이산수학의 교수-학습에 관한 국내$\cdot$외 선행연구들의 수업 실행 사례들로부터의 시사점을 바탕으로 학교현장의 수학교사들이 이산수학의 지도를 위해 고려해야 할 교수학적 지침을 네 가지로 구분하여 제안하였다. 그리고 각각의 제안 사항을 수업구성의 아이디어를 담고 있는 교육적 자료와 함께 구체적으로 논의하였다.

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Curve Clustering in Microarray

  • Lee, Kyeong-Eun
    • Journal of the Korean Data and Information Science Society
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    • 제15권3호
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    • pp.575-584
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    • 2004
  • We propose a Bayesian model-based approach using a mixture of Dirichlet processes model with discrete wavelet transform, for curve clustering in the microarray data with time-course gene expressions.

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ON THE CONSTRUCTION OF A SURFACE FROM DISCRETE DERIVATIVE DATA AND ITS EXTENDED SURFACE USING THE LEAST SQUARES METHOD

  • Kim, Hoi-Sub
    • Journal of applied mathematics & informatics
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    • 제4권2호
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    • pp.387-396
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    • 1997
  • For given discrete derivative data in a rectangular re-gion we propose a method to generate an approximated surface which fits the given derivative data in the region and extends smoothly to a sufficiently large rectangular region. Such an extension in nec-essary in the generation of the surface in NC(numerical control) ma-chine.

Combining Independent Permutation p-Values Associated with Multi-Sample Location Test Data

  • Um, Yonghwan
    • 한국컴퓨터정보학회논문지
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    • 제25권7호
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    • pp.175-182
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    • 2020
  • 연속형 분포로부터 얻은 독립적인 p값들을 통합하는 Fisher의 고전적인 방법은 널리 사용되고 있지만 이산형 확률분포로부터 얻은 p값들을 통합하기에는 적절하지 않다. 대신에 유사 Fisher의 통합방법이 이산형 확률분포의 p값들을 통합하는 대안으로 사용된다. 본 논문에서는 첫째, 여러 표본들의 위치검정(Fisher-Pitman 검정과 Kruskal-Wallis 검정) 데이터와 관련된 이산형 확률분포로 부터 퍼뮤테이션 방법에 의해 p값들을 구하고, 둘째로 이 p값들을 유사 Fisher의 통합방법을 이용하여 통합한다. 그리고 Fisher의 고전적인 방법과 유사 Fisher의 통합방법의 결과를 비교한다.

타카기-수게노 퍼지 시스템의 H 샘플치 제어 (H Sampled-Data Control of Takagi-Sugeno Fuzzy System)

  • 김도완
    • 제어로봇시스템학회논문지
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    • 제20권11호
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    • pp.1142-1146
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    • 2014
  • This paper addresses on a $H_{\infty}$ sampled-data stabilization of a Takagi-Sugeno (T-S) fuzzy system. The sampled-data stabilization problem is formulated as a discrete-time stabilization one via a direct discrete-time design approach. It is shown that the sampled-data fuzzy control system is asymptotically stable whenever its exactly discretized model is asymptotically stable. Based on an exact discrete-time model, sufficient design conditions are derived in the format of linear matrix inequalities (LMIs). An example is provided to illustrate the effectiveness of the proposed methodology.

이산 웨이블릿 변환을 이용한 지문의 계층적 분류 (Hierarchical classification of Fingerprints using Discrete Wavelet Transform)

  • 권용호;이정문
    • 산업기술연구
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    • 제19권
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    • pp.403-408
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    • 1999
  • An efficient method is developed for classifying fingerprint data based on 2-D discrete wavelet transform. Fingerprint data is first converted to a binary image. Then a multi-level 2-D wavelet transform is performed. Vertical and horizontal subbands of the transformed data show typical energy distribution patterns relevant to the fingerprint categories. The proposed method with moderate level of wavelet transform is successful in classifying fingerprints into 5 different types. Finer classification is possible by higher frequency subbands and closer analysis of energy distribution.

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