• Title/Summary/Keyword: 행렬모형

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Assessing Correlation between Two Variables in Repeated Measurements using Mixed Effect Models (혼합모형을 이용한 반복 측정된 변수들 간의 상관분석)

  • Han, Kyunghwa;Jung, Inkyung
    • The Korean Journal of Applied Statistics
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    • v.28 no.2
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    • pp.201-210
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    • 2015
  • Repeated measurements on each variables of interest often arise in bioscience or medical research. We need to account for correlations among repeated measurements to assess the correlation between two variables in the presence of replication. This paper reviews methods to estimate a correlation coefficient between two variables in repeated measurements using the variance-covariance matrix of linear mixed effect models. We analyze acoustic radiation force impulse imaging (ARFI) data to assess correlation between three shear wave velocity (SWV) measurements in liver or spleen and spleen length by ultrasonography. We present how to obtain parameter estimates for the variance-covariance matrix and correlations in mixed effects models using PROC MIXED in SAS.

Comparison of Breeding Value by Establishment of Genomic Relationship Matrix in Pure Landrace Population (유전체 관계행렬 구성에 따른 Landrace 순종돈의 육종가 비교)

  • Lee, Joon-Ho;Cho, Kwang-Hyun;Cho, Chung-Il;Park, Kyung-Do;Lee, Deuk Hwan
    • Journal of Animal Science and Technology
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    • v.55 no.3
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    • pp.165-171
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    • 2013
  • Genomic relationship matrix (GRM) was constructed using whole genome SNP markers of swine and genomic breeding value was estimated by substitution of the numerator relationship matrix (NRM) based on pedigree information to GRM. Genotypes of 40,706 SNP markers from 448 pure Landrace pigs were used in this study and five kinds of GRM construction methods, G05, GMF, GOF, $GOF^*$ and GN, were compared with each other and with NRM. Coefficients of GOF considering each of observed allele frequencies showed the lowest deviation with coefficients of NRM and as coefficients of GMF considering the average minor allele frequency showed huge deviation from coefficients of NRM, movement of mean was expected by methods of allele frequency consideration. All GRM construction methods, except for $GOF^*$, showed normally distributed Mendelian sampling. As the result of breeding value (BV) estimation for days to 90 kg (D90KG) and average back-fat thickness (ABF) using NRM and GRM, correlation between BV of NRM and GRM was the highest by GOF and as genetic variance was overestimated by $GOF^*$, it was confirmed that scale of GRM is closely related with estimation of genetic variance. With the same amount of phenotype information, accuracy of BV based on genomic information was higher than BV based on pedigree information and these symptoms were more obvious for ABF then D90KG. Genetic evaluation of animal using relationship matrix by genomic information could be useful when there is lack of phenotype or relationship and prediction of BV for young animals without phenotype.

Firework plot for evaluating the impact of influential observations in multi-response surface methodology (다반응 반응표면분석에서 특이값의 영향을 평가하기 위한 불꽃그림)

  • Kim, Sang Ik;Jang, Dae-Heung
    • The Korean Journal of Applied Statistics
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    • v.31 no.1
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    • pp.97-108
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    • 2018
  • It has been routine practice in regression analysis to check the validity of the assumed model by the use of regression diagnostics tools. Outliers and influential observations often distort the regression output in an undesired manner. Jang and Anderson-Cook (Quality and Reliability Engineering International, 30, 1409-1425, 2014) proposed a graphical method (called a firework plot) so that there could be an exploratory visualization of the trace of the impact of the possible outliers and influential observations on individual regression coefficients and the overall residual sum of the squares measure. This paper further extends a graphical approach to a multi-response surface methodology problem.

Dynamic modeling of rubber elements in an engine mount system (엔진 마운트용 고무의 동역학적 모델링)

  • 박석태;정경렬;이종원;김광준
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.689-697
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    • 1986
  • In the present work a three degree of freedom modeling of a cylindrical rubber element is studied and its applications to an engine mount system are discussed using a simple test structure. The three degree of freedom model for the rubber mount is composed of three mutually orthogonal springs and dampers jointed at the elastic center of the mount. The test structure is designed and manufactured so simple that its mass center and moment of inertia are accurately and easily obtained. The dynamic properties of each rubber mount, i.e., complex stiffnesses, are experimentally identified using hydraulic exciter and used to predict the modal parameters of the test structure mount system by analytical modal analysis. The predicted modal parameters of the system agree well with those estimated by experimental modal analysis. Hence the three DOF model of the rubber mount is proposed for the practical design of an engine mount system.

Access delay and packet delay of EDCA in IEEE 802.11e wireless network (IEEE 802.11e EDCA 무선랜의 매체 접속 지연 시간 및 정상 상태에서의 패킷 지연 분석)

  • Lee, Yu-Tae;Jang, Jong-Min;Lee, Key-Sang;Kim, Dong-Il;Kim, Chang-Kyu
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.8
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    • pp.1420-1426
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    • 2008
  • This paper derives medium access delay of each AC(Access Category) in a stationary station using inter-departure time of IEEE 802.11e WLAN(Wireless LAN). Inter-departure time of IEEE 802.11e WLAN is obtained using saturation throughput of IEEE 802.11e WLAN which was the topic of our prior work. By using a simple queueing model, we evaluate mean queue length and mean delay for each AC on stationary condition. We calculate performance of each AC using this simple model and validate results using simulation.

Odds curve and optimal threshold (오즈 곡선과 최적분류점)

  • Hong, Chong Sun;Oh, Tae Gyu;Oh, Se Hyeon
    • The Korean Journal of Applied Statistics
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    • v.34 no.5
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    • pp.807-822
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    • 2021
  • Various accuracy measures that can be explained on the odds curve are discussed, and an alternative accuracy measure, the maximum square, is proposed based on the characteristics of the odds curve. Thresholds corresponding to these accuracy measures are obtained by considering various probability distribution functions and an illustrative example. Their characteristics are discussed while comparing many kinds of statistics measuring thresholds. Therefore, we can conclude that optimal thresholds could be explored from the odds curve, similar to the ROC curve, and that the maximum square measure can be used as a good accuracy measure that can improve the performance of the binary classification model.

Analysis of Functional Autocorrelation and Development of Functional Econometric Model through Urban Interactions - Focusing on Economic Growth of Small and Medium Sized Cities - (도시 상호작용에 따른 기능적 자기상관분석 및 기능계량경제모형 개발 - 중소도시의 경제성장을 중심으로 -)

  • Kim, Dohyeong;Woo, Myungje
    • Journal of Korea Planning Association
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    • v.54 no.3
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    • pp.63-74
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    • 2019
  • Korean government has implemented policies to strengthen the competitiveness of small and medium sized cities. However, since it is often difficult to enhance the competitiveness through individual projects, many local governments in metropolitan areas are working together to pursue local growth. On the other hand, small and medium sized cities that are not included in metropolitan areas due to their spatial limitations have difficulties in implementing effective growth policies. Given this background, the purpose of this study is to identify the functional correlation based on urban interactions and develop functional econometric model for the economic growth of small and medium sized cities. This study uses spatial econometrics models and functional weight matrix to identify the effects of functional networks on small and medium sized cities. The results show the effect of functional networks on the growth of small and medium sized cities and provide policy implications for regional spatial planning that addresses effective management of small and medium sized cities.

Predictability of emergency water supply using machine learning-based classification techniques (딥러닝 기반 분류기법을 활용한 비상급수 예측 가능성 검토)

  • Oh, Yeoung Rok;Jun, Kyung Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2022.05a
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    • pp.303-303
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    • 2022
  • 기후변화로 인해 기상이변 현상의 발생 빈도가 잦아지며 가뭄 방생 빈도 또한 증가하는 추세이다. 이에 따라 가뭄 피해를 경감하는 선제적 가뭄대응체계 구축과 가뭄이 발생한 이후에 피해를 최소화하기 위한 연구가 필요하다. 본 연구에서는 가뭄피해 여부를 이진분류 방법으로 접근하여 예측 가능성을 검토하였다. 가뭄피해 여부는 비상급수(제한급수,운반급수) 자료를 이용하여 비상급수가 시행된 경우를 가뭄피해 발생으로 보고, 비상급수가 시행되지 않은 경우를 피해 없는 사례로 구분하였다. 기상 상황 변수로는 강수량, 기온, 상대습도 등을 이용하였다. 또한 지역별 연간 총 급수량 대비 저수량을 이용하여 지역별 현 상황을 고려하고자 하였다. 의사결정나무를 이용하여 분석한 결과 불균형 클래스 문제의 정확도에 주로 이용되는 오차행렬의 정확도가 0.95 이상으로 나타났으며, F1-Score는 약 0.5 로 나타났다. 이는 예측 결과 전체를 대상으로 했을 경우 95 %의 확률로 가뭄피해 여부를 구분할 수 있는 것을 나타내며, 가뭄 피해만을 대상으로 했을 경우 50 %의 정확도를 타나낸다. 그러나 본 연구에서는 비상급수를 유발하는 충분한 환경적 변수를 고려하지 않았고, 다양한 딥러닝 모형을 분석하지 않았다. 따라서 비상급수를 유발하는 요인을 충분히 고려하고 딥러닝 기법을 고도화 한다면 모형의 정확도 개선을 기대할 수 있을 것으로 판단된다.

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Real-Time Hybrid Testing Using a Fixed Iteration Implicit HHT Time Integration Method for a Reinforced Concrete Frame (고정반복법에 의한 암시적 HHT 시간적분법을 이용한 철근콘크리트 골조구조물의 실시간 하이브리드실험)

  • Kang, Dae-Hung;Kim, Sung-Il
    • Journal of the Earthquake Engineering Society of Korea
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    • v.15 no.5
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    • pp.11-24
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    • 2011
  • A real-time hybrid test of a 3 story-3 bay reinforced concrete frame which is divided into numerical and physical substructure models under uniaxial earthquake excitation was run using a fixed iteration implicit HHT time integration method. The first story inner non-ductile column was selected as the physical substructure model, and uniaxial earthquake excitation was applied to the numerical model until the specimen failed due to severe damage. A finite-element analysis program, Mercury, was newly developed and optimized for a real-time hybrid test. The drift ratio based on the top horizontal displacement of the physical substructure model was compared with the result of a numerical simulation by OpenSees and the result of a shaking table test. The experiment in this paper is one of the most complex real-time hybrid tests, and the description of the hardware, algorithm and models is presented in detail. If there is an improvement in the numerical model, the evaluation of the tangent stiffness matrix of the physical substructure model in the finite element analysis program and better software to reduce the computational time of the element state determination for the force-based beam-column element, then the comparison with the results of the real-time hybrid test and the shaking table test deserves to make a recommendation. In addition, for the goal of a "Numerical simulation of the complex structures under dynamic loading", the real time hybrid test has enough merit as an alternative to dynamic experiments of large and complex structures.

Real-Time Flood Forecasting Using Rainfall-Runoff Model(I) : Theory and Modeling (강우-유출모형을 이용한 실시간 홍수예측(I) : 이론과 모형화)

  • 정동국;이길성
    • Water for future
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    • v.27 no.1
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    • pp.89-99
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    • 1994
  • Flood forecasting in Korea has been based on the off-line parameter estimation method. But recent flood forecasting studies explore on-line recursive parameter estimation algorithms. In this study, a simultaneous adaptive estimation of system states and parameters for rainfall-runoff model is investigated for on-line real-time flood forecasting and parameter estimation. The proposed flood routing system is composed of Flood forecasting in Korea has been based on the off-line parameter estimation method. But recent flood forecasting studies explore on-line recursive parameter estimation algorithms. In this study, a simultaneous adaptive estimation of system states and parameters for rainfall-runoff model is investigated for on-line real-time flood forecasting and parameter estimation. The proposed flood routing system is composed of ø-index in the assessment of effective rainfall and the cascade of nonlinear reservoirs accounting for translation effect in flood routing. To combine the flood routing model with a parameter estimation model, system states and parameters are treated with the extended state-space formulation. Generalized least squares and maximum a posterior estimation algorithms are comparatively examined as estimation techniques for the state-space model. The sensitivity analysis is to investigate the identifiability of the parameters. The index of sensitivity used in this study is the covariance matrix of the estimated parameters.-index in the assessment of effective rainfall and the cascade of nonlinear reservoirs accounting for translation effect in flood routing. To combine the flood routing model with a parameter estimation model, system states and parameters are treated with the extended state-space formulation. Generalized least squares and maximum a posterior estimation algorithms are comparatively examined as estimation techniques for the state-space model. The sensitivity analysis is to investigate the identifiability of the parameters. The index of sensitivity used in this study is the covariance matrix of the estimated parameters.

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