• Title/Summary/Keyword: 다변량분석

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The study of the Gifted Students Education about Doing Mathematical Task with the Face Plot (얼굴그림(Face Plot)을 활용한 수학영재교육의 사례연구)

  • Kim, Yunghwan
    • Journal of the Korean School Mathematics Society
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    • v.20 no.4
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    • pp.369-385
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    • 2017
  • This study is to figure out the activity and disposition of gifted students with face plot in exploratory data analysis at middle school mathematics class. This study has begun on the basis of the doing mathematics at multivariate analysis beyond one variable and two variables. Gifted students were developed the good learning habits theirselves. According to this result, Many gifted students have an interesting experience at data analysis with Face Plot. And they felt the useful methods of creative thinking about graphics with doing mathematics at mathematical tasks. I think that teachers need to learn the visualization methods and to make and to develop the STEAM education tasks connected real life. It should be effective enough to change their attitudes toward teaching and learning at exploratory data analysis.

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Principal selected response reduction in multivariate regression (다변량회귀에서 주선택 반응변수 차원축소)

  • Yoo, Jae Keun
    • The Korean Journal of Applied Statistics
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    • v.34 no.4
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    • pp.659-669
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    • 2021
  • Multivariate regression often appears in longitudinal or functional data analysis. Since multivariate regression involves multi-dimensional response variables, it is more strongly affected by the so-called curse of dimension that univariate regression. To overcome this issue, Yoo (2018) and Yoo (2019a) proposed three model-based response dimension reduction methodologies. According to various numerical studies in Yoo (2019a), the default method suggested in Yoo (2019a) is least sensitive to the simulated models, but it is not the best one. To release this issue, the paper proposes an selection algorithm by comparing the other two methods with the default one. This approach is called principal selected response reduction. Various simulation studies show that the proposed method provides more accurate estimation results than the default one by Yoo (2019a), and it confirms practical and empirical usefulness of the propose method over the default one by Yoo (2019a).

Application of Multivariate Statistical Analysis Technique in Landfill Investigation (매립물 특성 조사를 위한 다변량 통계분석 기법의 응용)

  • Kwon, Byung-Doo;Kim, Cha-Soup
    • Journal of the Korean earth science society
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    • v.18 no.6
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    • pp.515-521
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    • 1997
  • To investigate the nature of the waste materials in the Nanjido Landfill, we have conducted multivariate statistical analysis of geophysical data set comprised of magnetic, gravity, LandSat TM thermal band and surface depression measurement data. Because these data sets show different responses to the depth, we have transformed the observed total field magnetic data and gravity data to the residual reduced-to-pole(RTP) magnetic anomalies and the three dimensional density anomalies, respectively, and utilized the informations about the upper shallow part of the landfills only in the following process. For the statistical analysis at the points of depression measurement, the magnetic, density and LandSat data values at these points are determined by interpolation process. Since the multivarite statistical analysis technique utilizes a clustering algorithm for classification of data set and we have measured the dissimilarity between objects by using Euclidean distance, standardization was applied prior to distance calculation in order to eliminate any scaling effects due to different measurement unit of each data set. The hierarchial grouping technique was used to construct the dendrogram. The optimum number of statistical groups(clusters), which are classified on the basis of geophysical and geotechnical characteristics, appeared to be six on the resulting dendrogram. The result of this study suggests that the dimension and nature of the multicomponent waste landfills can be identified by application of the multivarite statistical analysis technique to integrated geophysical data sets.

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Comparison of Forecasting Performance in Multivariate Nonstationary Seasonal Time Series Models (다변량 비정상 계절형 시계열모형의 예측력 비교)

  • Seong, Byeong-Chan
    • Communications for Statistical Applications and Methods
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    • v.18 no.1
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    • pp.13-21
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    • 2011
  • This paper studies the analysis of multivariate nonstationary time series with seasonality. Three types of multivariate time series models are considered: seasonal cointegration model, nonseasonal cointegration model with seasonal dummies, and vector autoregressive model in seasonal differences that are compared for forecasting performances using Korean macro-economic time series data. The cointegration models produce smaller forecast errors in short horizons; however, when longer forecasting periods are considered the vector autoregressive model appears preferable.

A Query Model for Consecutive Analyses of Dynamic Multivariate Graphs (동적 다변량 그래프의 연속적 분석을 위한 질의 모델 설계 및 구현)

  • Bae, Yechan;Ham, Doyoung;Kim, Taeyang;Jeong, Hayjin;Kim, Dongyoon
    • The Journal of Korean Association of Computer Education
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    • v.17 no.6
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    • pp.103-113
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    • 2014
  • This study designed and implemented a query model for consecutive analyses of dynamic multivariate graph data. First, the query model consists of two procedures; setting the discriminant function, and determining an alteration method. Second, the query model was implemented as a query system that consists of a query panel, a graph visualization panel, and a property panel. A Node-Link Diagram and the Force-Directed Graph Drawing algorithm were used for the visualization of the graph. The results of the queries are visually presented through the graph visualization panel. Finally, this study used the data of worldwide import & export data of small arms to verify our model. The significance of this research is in the fact that, through the model which is able to conduct consecutive analyses on dynamic graph data, it helps overcome the limitations of previous models which can only perform discrete analysis on dynamic data. This research is expected to contribute to future studies such as online decision making and complex network analysis, that use dynamic graph models.

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Identification of Homogeneous Regions based on Multivariate Techniques (다변량 분석 기법을 활용한 동질 지역 구분)

  • Nam, Woo-Sung;Kim, Tae-Soon;Heo, Jun-Haeng
    • Proceedings of the Korea Water Resources Association Conference
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    • 2007.05a
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    • pp.1568-1572
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    • 2007
  • 지역빈도해석은 우리나라와 같이 자료 기간이 짧은 경우 지점빈도해석보다 더 정확한 확률강우량을 산정할 수 있는 기법이다. 지역빈도해석을 통한 확률강우량 산정 결과는 수문학적으로 동질한 지역의 구분 결과에 따라 달라진다. 지역을 구분할 때에는 강우에 영향을 미치는 다양한 변수들이 사용될 수 있다. 변수의 유형과 개수가 지역 구분의 효율성을 좌우하기 때문에 활용 가능한 모든 변수들의 정보를 요약할 수 있는 변수들을 선택하는 것이 지역 구분의 효율성 면에서 유리하다고 할 수 있다. 이런 면에서 지역 구분의 효율성을 증대시킬 목적으로 다변량 분석 기법이 활용될 수 있다. 본 연구에서는 주성분 분석, 요인 분석, Procrustes analysis와 같은 다변량 분석 기법을 활용하여 42개의 강우 관련 변수들을 33개의 변수로 줄일 수 있었다. 분석 결과 변수 개수 감소로 인한 정보 손실은 크지 않은 것으로 나타났다. 따라서 이러한 기법에 의한 변수 차원의 축소는 지역 구분의 효율성 향상에 기여할 수 있는 것으로 판단된다. 선정된 변수들을 바탕으로 군집해석을 수행하여 지역을 구분하였고, L-모멘트에 근거한 이질성척도(H)를 활용하여 구분된 지역의 동질성을 검토하였다. 또한 L-모멘트에 근거한 적합성 척도(Z)를 적용하여 구분된 지역에 적합한 확률분포형을 선정하였고, 선정된 적정 확률분포형을 바탕으로 각 지역에 대한 성장 곡선(growth curve)을 유도하였다.

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A Comparative Study of Covariance Matrix Estimators in High-Dimensional Data (고차원 데이터에서 공분산행렬의 추정에 대한 비교연구)

  • Lee, DongHyuk;Lee, Jae Won
    • The Korean Journal of Applied Statistics
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    • v.26 no.5
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    • pp.747-758
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    • 2013
  • The covariance matrix is important in multivariate statistical analysis and a sample covariance matrix is used as an estimator of the covariance matrix. High dimensional data has a larger dimension than the sample size; therefore, the sample covariance matrix may not be suitable since it is known to perform poorly and event not invertible. A number of covariance matrix estimators have been recently proposed with three different approaches of shrinkage, thresholding, and modified Cholesky decomposition. We compare the performance of these newly proposed estimators in various situations.

Copula Function Based Multivariate Flood Frequency Analysis (Copula 함수를 이용한 다변량 홍수 빈도해석)

  • Kim, Min ji;Ryou, Min-Suk;Kwon, Hyun-Han
    • Proceedings of the Korea Water Resources Association Conference
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    • 2017.05a
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    • pp.82-82
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    • 2017
  • 최근 기후변화로 인해 전 세계적으로 과거와 다른 이상홍수 발생이 빈번하게 발생하여 오래된 수공구조물인 댐, 저수지 붕괴가 우려되는 실정이다. 수공구조물의 수문학적인 안정성을 고려하지 않은 상황에서 댐 붕괴 홍수나 돌발홍수로 발생한 피해는 인명, 재산 및 환경 피해의 정도가 매우 크므로 피해가 발생하기 이전인 수공구조물 설계 시 홍수위험도 평가를 통해 안정성을 확보하는 것이 필요하다. 본 연구에서는 홍수사상의 다양한 변량들의 특성을 고려한 빈도해석을 위하여 Copula 함수를 이용한 다변량 빈도해석 기법을 개발하였다. 즉, 기존 홍수위험도 분석에서 주로 사용되는 첨두홍수량 뿐만 아니라, 홍수지속시간, 홍수체적 등을 고려한 이변량 또는 삼변량 홍수 빈도해석을 수행하고, 기존 홍수위험도와 비교 검토를 수행하고자 한다. 매개변수의 불확실성을 고려하기 위하여 매개변수 추정은 Bayesian 기법을 활용하였다.

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